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Directory:Jon Awbrey/Papers/Inquiry Driven Systems : Part 5 (view source)
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In the present case, one can observe the possibility that the author is suggesting the following analogies:
In the present case, one can observe the possibility that the author is suggesting the following analogies:
<pre>
<ol style="list-style-type:decimal">
<li><p>One analogy says that authoring a text is like piloting a vehicle. This can be written in either one of two ways.</p></li>
<ol style="list-style-type:lower-alpha">
<li><p>Poet / Poem = Pilot / Boat.</p></li>
<li><p>Poet / Pilot = Poem / Boat.</p></li>
<li><p>Pilot / Poet = Boat / Poem.</p></li>
</ol>
<li>…</li>
</ol>
</pre>
The arrangements of SECs, SEPs, SEQs, and SERs have to do with the analogies that can be discovered and the equalities that can be created among signs, but a hint of the relevant similarities can be found in the ''categorical analogies'' (CANs) or the ''categorical equations'' (CEQs) that it is frequently possible to recognize among general terms, namely, the class names that apply to the corresponding categories of objects.
The arrangements of SECs, SEPs, SEQs, and SERs have to do with the analogies that can be discovered and the equalities that can be created among signs, but a hint of the relevant similarities can be found in the ''categorical analogies'' (CANs) or the ''categorical equations'' (CEQs) that it is frequently possible to recognize among general terms, namely, the class names that apply to the corresponding categories of objects.
There is a thought that forms the theme of the present inquiry, indeed, as a chorus to a lyric are its evocations to the text that records this inquiry, and I find myself returning to its expressions on a constantly recurring basis, however much I strive to introduce variations for the sake of developing its implications and reflecting on its meanings from a fresh angle. So let me give the current rendition:
There is a thought that forms the theme of the present inquiry, indeed, as a chorus to a lyric are its evocations to the text that records this inquiry, and I find myself returning to its expressions on a constantly recurring basis, however much I strive to introduce variations for the sake of developing its implications and reflecting on its meanings from a fresh angle. So let me give the current rendition:
The present inquiry, <math>y_0,\!</math> portraying itself as an inquiry into inquiry, <math>y \cdot y,\!</math> proceeds on the premiss that a generic inquiry, <math>y,\!</math> can generally inquire into a generic inquiry, <math>y,\!</math> thereby achieving a settled result, one that awaits a mere determination to be signified by the name <math>{}^{\backprime\backprime} y \cdot y {}^{\prime\prime}.</math> Thus the present inquiry, acting on the pretext of a ''formal posability'', that is, a poetic license, a verbal permission, or a written suggestion, being motivated and justified by no more authority than these connote, is led to define itself in terms that appose its own term to its own term, and so it is led to take on a recursive, a reflective, or a reflexive cast.
The present inquiry, <math>y_0,\!</math> portraying itself as an inquiry into inquiry, <math>y \cdot y,\!</math> proceeds on the premiss that a generic inquiry, <math>y,\!</math> can generally inquire into a generic inquiry, <math>y,\!</math> thereby achieving a settled result, one that awaits a mere determination to be signified by the name <math>{}^{\backprime\backprime} y \cdot y {}^{\prime\prime}.\!</math> Thus the present inquiry, acting on the pretext of a ''formal posability'', that is, a poetic license, a verbal permission, or a written suggestion, being motivated and justified by no more authority than these connote, is led to define itself in terms that appose its own term to its own term, and so it is led to take on a recursive, a reflective, or a reflexive cast.
The terms of this description need to be inquired into, and their implications pursued in greater detail.
The terms of this description need to be inquired into, and their implications pursued in greater detail.
The present inquiry, <math>y_0,\!</math> portraying itself as an inquiry into inquiry, <math>y \cdot y,\!</math> proceeds on the premiss that a generic inquiry, <math>y,\!</math> can generally inquire into a generic inquiry, <math>y,\!</math> and thereby achieve a settled result, and that this result awaits nothing other than its determination by the present inquirer to confer an objective significance on the name <math>{}^{\backprime\backprime} y \cdot y {}^{\prime\prime}.</math> All of this is summed up in the formula: <math>{}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime}.</math>
The present inquiry, <math>y_0,\!</math> portraying itself as an inquiry into inquiry, <math>y \cdot y,\!</math> proceeds on the premiss that a generic inquiry, <math>y,\!</math> can generally inquire into a generic inquiry, <math>y,\!</math> and thereby achieve a settled result, and that this result awaits nothing other than its determination by the present inquirer to confer an objective significance on the name <math>{}^{\backprime\backprime} y \cdot y {}^{\prime\prime}.\!</math> All of this is summed up in the formula: <math>{}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime}.\!</math>
Thus the present inquiry, acting on the pretext of a ''formal posability'', namely, the circumstance that the rules of a prospective formal grammar allow one to write the expression <math>{}^{\backprime\backprime} y \cdot y {}^{\prime\prime}</math> and to inquire after its meaning, is led to define itself in terms that apply to its own case as argument, since the present inquiry, <math>y_0,\!</math> must be an example of whatever genus, <math>Y,\!</math>, that a generic inquiry, <math>y,\!</math> is selected to represent. As a consequence, the present inquiry is forced to pursue the development of its own case in terms that appose its own actions to its own motives, and so is led to take on a recursive, a reflective, or a reflexive cast.
Thus the present inquiry, acting on the pretext of a ''formal posability'', namely, the circumstance that the rules of a prospective formal grammar allow one to write the expression <math>{}^{\backprime\backprime} y \cdot y {}^{\prime\prime}\!</math> and to inquire after its meaning, is led to define itself in terms that apply to its own case as argument, since the present inquiry, <math>y_0,\!</math> must be an example of whatever genus, <math>Y,\!</math>, that a generic inquiry, <math>y,\!</math> is selected to represent. As a consequence, the present inquiry is forced to pursue the development of its own case in terms that appose its own actions to its own motives, and so is led to take on a recursive, a reflective, or a reflexive cast.
=====5.1.2.2. The Symbolic Object=====
=====5.1.2.2. The Symbolic Object=====
To paraphrase, the present inquiry acts on the pretense that an inquiry can inquire into other inquiries, perhaps even those that are presently ongoing, and even inquire into itself, in sum, being entitled to inquire into the full genus of inquiry, <math>Y,\!</math> a class that includes <math>y_0\!</math> as a member. But these representations, under cross examination, lead to a number of unanswered questions, like: Just what is a “generic inquiry”, anyway? Even more critically, their close and repeated examination leads to a host of “unquestioned answers”, answers already accepted as adequate, but whose appearances as answers need to be questioned again.
To paraphrase, the present inquiry acts on the pretense that an inquiry can inquire into other inquiries, perhaps even those that are presently ongoing, and even inquire into itself, in sum, being entitled to inquire into the full genus of inquiry, <math>Y,\!</math> a class that includes <math>y_0\!</math> as a member. But these representations, under cross examination, lead to a number of unanswered questions, like: Just what is a “generic inquiry”, anyway? Even more critically, their close and repeated examination leads to a host of “unquestioned answers”, answers already accepted as adequate, but whose appearances as answers need to be questioned again.
The ''formal posability'' of a self application, for example, as expressed by the term <math>{}^{\backprime\backprime} y \cdot y {}^{\prime\prime},</math> especially when the formal calculus that is called on to make sense of these applications is still merely prospective and still highly speculative, ought to arouse a lot of suspicion from the purely formal point of view. Indeed, I cannot justify this way of proceeding, beginning in the middle of things and without stopping to establish a well defined formal system ahead of time, except to say that something very like it is unavoidable in a large number of natural circumstances, and so one ought to find a way of getting used to it. A way of getting used to the natural situation of inquiry is one of the things that the present inquiry hopes to find.
The ''formal posability'' of a self application, for example, as expressed by the term <math>{}^{\backprime\backprime} y \cdot y {}^{\prime\prime},\!</math> especially when the formal calculus that is called on to make sense of these applications is still merely prospective and still highly speculative, ought to arouse a lot of suspicion from the purely formal point of view. Indeed, I cannot justify this way of proceeding, beginning in the middle of things and without stopping to establish a well defined formal system ahead of time, except to say that something very like it is unavoidable in a large number of natural circumstances, and so one ought to find a way of getting used to it. A way of getting used to the natural situation of inquiry is one of the things that the present inquiry hopes to find.
If it appears that this allows the present inquiry an unlimited scope or an excessive freedom, it has to be remembered that a ''formal posability'' is barely enough of a formal subsistence to begin an inquiry, but rarely enough to finish it. It can be invaluable as the provisional ''grubstake'' for a prospecting expedition, supplying the initial overhead it takes to ''prime the pump'' of subsequent exploration, but it is not sufficient to continue very far with an investigation. In essence, it is nothing more substantial than a grammatical allowance or a syntactic hypothesis, in effect, a poetic license, a verbal permission, or a written suggestion. Taking all of these cautions into account, it leaves the present inquiry motivated and justified by no more authority than their titles connote, and it obliges the precocity of what is written to be atoned for with all the critical benevolence of afterthought that can be mustered after the fact, to wit, through the diligent application of that turn of mind that allows one to write first and only later to think on the meaning.
If it appears that this allows the present inquiry an unlimited scope or an excessive freedom, it has to be remembered that a ''formal posability'' is barely enough of a formal subsistence to begin an inquiry, but rarely enough to finish it. It can be invaluable as the provisional ''grubstake'' for a prospecting expedition, supplying the initial overhead it takes to ''prime the pump'' of subsequent exploration, but it is not sufficient to continue very far with an investigation. In essence, it is nothing more substantial than a grammatical allowance or a syntactic hypothesis, in effect, a poetic license, a verbal permission, or a written suggestion. Taking all of these cautions into account, it leaves the present inquiry motivated and justified by no more authority than their titles connote, and it obliges the precocity of what is written to be atoned for with all the critical benevolence of afterthought that can be mustered after the fact, to wit, through the diligent application of that turn of mind that allows one to write first and only later to think on the meaning.
|}
|}
The present inquiry acts on the purely formal suggestion that a generic inquiry can inquire into other inquiries, perhaps even those that remain ongoing, moreover, that a particular inquiry can even inquire into itself. Interpolating the appropriate symbols, the present inquiry, referring to itself as <math>{}^{\backprime\backprime} y_0 {}^{\prime\prime},</math> acts on the instance of a purely formal possibility, one that it expresses as a premiss in the formula <math>{}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime},</math> intending this to be interpreted to the effect that an inquiry can inquire into a class of inquiries that includes itself as a member, and this is a hypothesis that is based on little more authority than the fact of its expression a prospective formal language, in other words, one whose interpretation is still a largely prospective matter.
The present inquiry acts on the purely formal suggestion that a generic inquiry can inquire into other inquiries, perhaps even those that remain ongoing, moreover, that a particular inquiry can even inquire into itself. Interpolating the appropriate symbols, the present inquiry, referring to itself as <math>{}^{\backprime\backprime} y_0 {}^{\prime\prime},\!</math> acts on the instance of a purely formal possibility, one that it expresses as a premiss in the formula <math>{}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime},\!</math> intending this to be interpreted to the effect that an inquiry can inquire into a class of inquiries that includes itself as a member, and this is a hypothesis that is based on little more authority than the fact of its expression a prospective formal language, in other words, one whose interpretation is still a largely prospective matter.
Stepping back and reflecting on the situation, one needs to ask how in general and how in particular does one fall so blithely into these forms and into these manners of representation. Once that process is better understood then it becomes possible to evaluate in a fairer way whether this direction of fall is tantamount to a happy accident of the natural intuition or whether it constellates a disastrous catastrophe that needs to be remedied through the application of a severer style of reasoning. Generally speaking, the point at which intellectual developments like these begin to take on an automatic character is when the intention is formed of devising a formal calculus, in the present case, a prospective calculus of ''applications'' or ''appositions'' of the form <math>f \cdot g,\!</math> the terms of which are intended to be capable of referring to processes potentially as complex as inquiries. The project of an ''appositional calculus'' (AC) is what formalizes the intuitive possibility of an inquiry into inquiry and continues to suggest the formal possibility that any inquiry can be applied to itself, at least, any inquiry that can be symbolized in this calculus.
Stepping back and reflecting on the situation, one needs to ask how in general and how in particular does one fall so blithely into these forms and into these manners of representation. Once that process is better understood then it becomes possible to evaluate in a fairer way whether this direction of fall is tantamount to a happy accident of the natural intuition or whether it constellates a disastrous catastrophe that needs to be remedied through the application of a severer style of reasoning. Generally speaking, the point at which intellectual developments like these begin to take on an automatic character is when the intention is formed of devising a formal calculus, in the present case, a prospective calculus of ''applications'' or ''appositions'' of the form <math>f \cdot g,\!</math> the terms of which are intended to be capable of referring to processes potentially as complex as inquiries. The project of an ''appositional calculus'' (AC) is what formalizes the intuitive possibility of an inquiry into inquiry and continues to suggest the formal possibility that any inquiry can be applied to itself, at least, any inquiry that can be symbolized in this calculus.
|}
|}
An agent involved in an ''effort to communicate'', no matter how various the signs and the media that make its conveyance conceivable, and no matter how articulately the character of its endeavor is styled, whether it is pointed and straightforward, or allusive and recursive, whether it is elliptic, hyperbolic, parabolic, or otherwise conically sectioned, or whether it is much less smoothly sliced into its initial approximations and final truncations, there are only so many ways that a ''finitely informed creature'' can find to figure out what meaning the world has and to formulate what sense a life's work can add to it.
An agent involved in an "effort to communicate" (ETC), no matter how various the signs and the media that make its conveyance conceivable, and no matter how articulately the character of its endeavor is styled, whether it is pointed and straightforward, or allusive and recursive, whether it is elliptic, hyperbolic, parabolic, or otherwise conically sectioned, or whether it is much less smoothly sliced into its initial approximations and final truncations, there are only so many ways that a "finitely informed creature" (FIC) can find to figure out what meaning the world has and to formulate what sense a life's work can add to it.
The present situation, as far as it goes, is a suitable subject for being investigated along the lines of the pragmatic theory of sign relations.
The present situation, as far as it goes, is a suitable subject for being investigated along the lines of the pragmatic theory of sign relations.
Since "x" is a sign, it has the potential to denote an object x, if and when there is determined to be a signified object, and one with a power to impress itself on the mind of the operative interpreter of that sign. Likewise, since "y0 = y.y" is a sign, it has the potential to denote an object, one that syntactic compunctions stop me from saying is y0 = y.y, that is, if I want to avoid a definite risk of failing to be understood. But what is this object, if it exists? At any rate, what sort of object is the receiver of the sign thereby entitled to expect it to be, whether or not the object that it foreshadows ever does come to be actualized?
Since <math>{}^{\backprime\backprime} x {}^{\prime\prime}\!</math> is a sign, it has the potential to denote an object <math>x,\!</math> if and when there is determined to be a signified object, and one with a power to impress itself on the mind of the operative interpreter of that sign. Likewise, since <math>{}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime}\!</math> is a sign, it has the potential to denote an object, one that syntactic compunctions stop me from saying is <math>y_0 = y \cdot y,\!</math> that is, if I want to avoid a definite risk of failing to be understood. But what is this object, if it exists? At any rate, what sort of object is the receiver of the sign thereby entitled to expect it to be, whether or not the object that it foreshadows ever does come to be actualized?
In order to have a variety of more convenient names for referring to the object potentially denoted by the sign "y0 = y.y", I refer to the expression "y0 = y.y" as "The Initial Equation", or as "TIE", for short. Although it is not strictly necessary for such a small piece of text as "y0 = y.y", I here obey the rule that the titles of texts are italicized. Furthermore, the object, situation, or state that satisfies TIE, to the effect that y0 = y.y, and is therefore potentially denoted by TIE, can also be referred to as "the intended state", or as "TIS", for short.
In order to have a variety of more convenient names for referring to the object potentially denoted by the sign <math>{}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime},\!</math> I refer to the expression <math>{}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime}\!</math> as ''“The Initial Equation”'', or as ''“TIE”'', for short. Although it is not strictly necessary for such a small piece of text as <math>{}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime},\!</math> I here obey the rule that the titles of texts are italicized. Furthermore, the object, situation, or state that satisfies ''TIE'', to the effect that <math>y_0 = y \cdot y,\!</math> and is therefore potentially denoted by ''TIE'', can also be referred to as “the intended state”, or as “TIS”, for short.
For the sake of shortening future references to the chief object of the present inquiry and the initial sign of its potential existence, let the acronym "TIS" be equiferent to the phrase "the intended state", and let the italic tag "TIE" be equiferent to the title "The Initial Equation". Further, let the connotations be so arranged that "TIS" is semiotically equivalent to "the intended state" and "TIE" is semiotically equivalent to "The Initial Equation". It is important to note that a set of signs can be equiferent among themselves in the wholly vacuous sense that all of them have no objective reference, and, strictly speaking of what they denote, that all of them refer to nothing at all, whereas a set of signs that are equivalent in the properly semiotic sense still have each other as their connotations.
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | At midnight hour in mirkest glen,
|-
| width="5%" | || I'd rove, and ne'er be eerie, O,
|-
| colspan="2" | If thro that glen I gaed to thee,
|-
| width="5%" | || My ain kind dearie, O!
|-
| colspan="2" | Altho, the night were ne'er sae wild,
|-
| width="5%" | || And I were ne'er sae weary, O,
|-
| colspan="2" | I'll meet thee on the lea-rig,
|-
| width="5%" | || My ain kind dearie, O!
|-
| colspan="2" align="right" | — Robert Burns, ''The Lea-Rig'', [CPW, 474]
|}
For the sake of shortening future references to the chief object of the present inquiry and the initial sign of its potential existence, let the acronym “TIS” be equiferent to the phrase “the intended state”, and let the italic tag ''“TIE”'' be equiferent to the title ''“The Initial Equation”''. Further, let the connotations be so arranged that “TIS” is semiotically equivalent to “the intended state” and ''“TIE”'' is semiotically equivalent to ''“The Initial Equation”''. It is important to note that a set of signs can be equiferent among themselves in the wholly vacuous sense that all of them have no objective reference, and, strictly speaking of what they denote, that all of them refer to nothing at all, whereas a set of signs that are equivalent in the properly semiotic sense still have each other as their connotations.
There is a feature of this style of abbreviation that is useful to call attention to. Rather than letting the acronym "TIS" strictly denote the phrase "the intended state" and instead of letting the tag "TIE" strictly denote the title "The Initial Equation", I am merely asking the reader to arrange in behalf of the interpretation a "semiotic partition" (SEP), along with its corresponding "semiotic equivalence relation" (SER), in which a particular pair of "semiotic equivalence classes" (SEC's) serve to stake out a couple of parts, that is, to represent mutually exclusive classes of signs that denote their respective objects in parallel. This situation is depicted in Table 26.
There is a feature of this style of abbreviation to which it is useful to call attention. Rather than letting the acronym “TIS” strictly denote the phrase “the intended state” and instead of letting the tag ''“TIE”'' strictly denote the title ''“The Initial Equation”'', I am merely asking the reader to arrange in behalf of the interpretation a ''semiotic partition'' (SEP), along with its corresponding ''semiotic equivalence relation'' (SER), in which a particular pair of ''semiotic equivalence classes'' (SECs) serve to stake out a couple of parts, that is, to represent mutually exclusive classes of signs that denote their respective objects in parallel. This situation is depicted in Table 26.
<pre>
Table 26. Semiotic Partition Implied by the ACE of Q
Table 26. Semiotic Partition Implied by the ACE of Q
Object SEC
Object SEC
the intended state {"the intended state", "TIS"}
the intended state {"the intended state", "TIS"}
The Initial Equation {"The Initial Equation", "TIE"}
The Initial Equation {"The Initial Equation", "TIE"}
</pre>
</pre>
In each case, the abbreviated form and its expansion are set to connote each other all within a single level of signs, while both signs are set to denote their common object in a parallel fashion. This strategy for annexing compressed references to a sign relation can be referred to as an ''acronymically connotative extension'' (ACE) of that sign relation.
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
The gloomy night is gath'ring fast,
| colspan="2" | The hunter lo'es the morning sun,
|-
| width="5%" | || To rouse the mountain deer, my jo,
|-
| colspan="2" | At noon the fisher takes the glen
|-
| width="5%" | || Adown the burn to steer, my jo:
|-
| colspan="2" | Gie me the hour o gloamin grey
|-
| width="5%" | || It maks my heart sae cheery, O,
|-
| colspan="2" | To meet thee on the lea-rig,
|-
| width="5%" | || My ain kind dearie, O!
|-
| colspan="2" align="right" | — Robert Burns, ''The Lea-Rig'', [CPW, 474]
|}
=====5.1.2.4. The Medium of Communication=====
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| The gloomy night is gath'ring fast,
|-
| Loud roars the wild inconstant blast;
|-
| Yon murky cloud is filled with rain,
|-
I think upon the stormy wave,
| I see it driving o'er the plain;
|-
| The hunter now has left the moor,
|-
| The scatt'red coveys meet secure;
|-
| While here I wander, prest with care,
|-
| Along the lonely banks of Ayr.
|-
| align="right" | — Robert Burns, ''The Gloomy Night is Gath'ring Fast'', [CPW, 250]
|}
Before I can advance this discussion to a higher level of reflection on my own and other texts, in other words, to augment its participation in syntactic and textual processes beyond the level of rote recitation and routine replication of whatever text comes to mind, I need to introduce a minimal set of syntactic devices and textual mechanisms for adverting to and reflecting on syntactic entities and textual objects, in other words, for generating and interpreting, or else recognizing and elaborating, a level of references to objects that are themselves composed of signs and that therefore have the characters of complex signs in their own rights.
In general, signs that denote signs are called ''higher order'' (HO) signs, leaving the signs denoted to be referred to as ''lower order'' (LO) signs. These form the subject of detailed discussions later on in this work, but the critical need for now is merely to make available an informal set of plausible devices for availing the discussion of names for pieces of text. Thus, the tools that are required can be sufficiently well illustrated in their immediate applications to the present materials.
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| The Autumn mourns her rip'ning corn
The connotative mechanism, relying on prior quotations and established titles, ...
|-
| By early Winter's ravage torn;
|-
| Across her placid, azure sky,
|-
| She sees the scowling tempest fly;
|-
| Chill runs my blood to hear it rave;
|-
| I think upon the stormy wave,
|-
| Where many a danger I must dare,
|-
| Far from the bonie banks of Ayr.
|-
| align="right" | — Robert Burns, ''The Gloomy Night is Gath'ring Fast'', [CPW, 250]
|}
Depending on whether it is possible to adapt, appropriate, and otherwise make use of what HO signs are already extant in a field of discussion or whether it is necessary to create, invent, or otherwise make up further HO signs to denote the signs and the texts that one notices in an area, one finds that the sorts of syntactic devices, textual mechanisms, and reflective operators that one needs are divided into two broad camps:
# There are the anaclitic, ancillary, or auxiliary devices that an agent uses to imp out each HO connotative plane by extrapolating its indirections in novel directions, to allude in a connotative fashion to the current signs of signs and the established titles of texts, to sharpen up the reflective references already extant, and to take full advantage of the ancient orders of associations and the antecedent layers of citations that are already in place.
# There are the creative, generative, or productive devices that an agent uses to eke out each HO denotative plane in the first place, to adduce the initial signs in that order, to create new HO signs, to refer in a denotative fashion to what thereby becomes an order of comparatively LO signs, and to issue HO citations of LO texts.
The connotative mechanism, relying on prior quotations and established titles, ...
'''Acronyms.'''
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| 'Tis not the surging billows' roar,
|-
| 'Tis not that fatal, deadly shore;
The scenes where wretched Fancy roves,
|-
| Tho death in ev'ry shape appear,
|-
| The wretched have no more to fear;
|-
| But round my heart the ties are bound,
|-
| That heart transpierc'd with many a wound;
|-
| These bleed afresh, those ties I tear,
|-
| To leave the bonie banks of Ayr.
|-
| align="right" | — Robert Burns, ''The Gloomy Night is Gath'ring Fast'', [CPW, 250]
|}
The highest order of generality among titles is not absolutely necessary in the present context. More commonly, a title is a pre arranged sign, a pre established mark, a prefixed epithet, or a pre ordained piece of text that gets re used, perhaps subject to a conventional modification or a special inflection, to serve as a sign or a name for what is customarily a disjoint sign or a distinct piece of text. Under typical circumstances, although not universal, the syntactic entity or the textual object to which a title refers is a much longer text, and thus one that occasions the practical need among its interpreters of having a briefer alias or a compressed designation for it. In short, a title is intended to serve a purpose that is similar to one of the roles of ordinary quotation, but subject to orders of pragmatic constraints that quotation marks, when literally taken and expressly used, are clearly not able to satisfy. Putting aside for the time being the issues that are raised by this general discussion, I revert to the ordinary use of quoted expressions and italicized phrases as the titles of texts.
The denotative mechanism, ...
These are devices whose function it is to operate on signs, including all sorts of characters, expressions, phrases, and texts, and whose result it is to generate signs that refer to their respective arguments as objects.
'''Quotation marks.''' Ordinary quotation marks (“ ”) can be used in the customary ways to create names for signs, concatenated signs, or pieces of text that they enclose. Unfortunately, for formal purposes, ordinary quotation marks have the disadvantage of being used for several other functions besides that of creating names for enclosed signs and texts. In particular, the same marks are frequently used for a motley crew of ''emphatic functions'' or ''monitory purposes'', that is, simply to call an extra measure of attention to the sign or the text enclosed, but without necessarily intending to interrupt its significance or to interfere with the corresponding process of denotation.
'''Arch quotations.''' An alternative form of quotation is provided through the employment of ''raised angle brackets'' (<sup><</sup> <sup>></sup>), also called ''arches'' or ''supercilia''. These marks are reserved to the sole purpose of creating signs for signs and generating names for pieces of text, in keeping with the ''nominal intention'' and the ''normal use'' of quotation marks.
'''Titles and headings.''' An arbitrary title for a syntactic object or a textual segment is created simply by designating anything whatsoever to a service in that role. Whatever it is before being dubbed as the title of the material in question, it becomes a pointer to its appointed object simply by virtue of being so dubbed, if nothing else, at least as regarded by a single interpreter that is duly appointed to appoint things so, if only for the sake of a purely personal recognizance.
Table 27. Bit of a Sign Relation for TIE
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| Farewell, old Coila's hills and dales,
|-
| Her heathy moors and winding vales;
|-
| The scenes where wretched Fancy roves,
|-
| Pursuing past unhappy loves!
|-
| Farewell my friends! farewell my foes!
|-
| My peace with these, my love with those —
|-
| The bursting tears my heart declare,
|-
| Farewell, my bonie banks of Ayr!
|-
| align="right" | — Robert Burns, ''The Gloomy Night is Gath'ring Fast,'', [CPW, 251]
|}
The highest order of generality among titles is not absolutely necessary in the present context. More commonly, a title is a pre-arranged sign, a pre-established mark, a prefixed epithet, or a pre-ordained piece of text that gets re used, perhaps subject to a conventional modification or a special inflection, to serve as a sign or a name for what is customarily a disjoint sign or a distinct piece of text. Under typical circumstances, although not universal, the syntactic entity or the textual object to which a title refers is a much longer text, and thus one that occasions the practical need among its interpreters of having a briefer alias or a compressed designation for it. In short, a title is intended to serve a purpose that is similar to one of the roles of ordinary quotation, but subject to orders of pragmatic constraints that quotation marks, when literally taken and expressly used, are clearly not able to satisfy. Putting aside for the time being the issues that are raised by this general discussion, I revert to the ordinary use of quoted expressions and italicized phrases as the titles of texts.
=====5.1.2.5. The Ark of Types : The Order of Things to Come=====
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | Now westlin winds and slaught'ring guns
|-
| width="5%" | || Bring Autumn's pleasant weather;
|-
| colspan="2" | The moorcock springs on whirring wings
|-
| width="5%" | || Amang the blooming heather:
|-
| colspan="2" | Now waving grain, wide o'er the plain,
|-
| width="5%" | || Delights the weary farmer;
|-
| colspan="2" | And the moon shines bright, as I rove by night,
|-
| width="5%" | || To muse upon my charmer.
|-
| colspan="2" align="right" | — Robert Burns, ''Now Westlin Winds'', [CPW, 44]
|}
<pre>
The present situation, as far as it goes, is a suitable subject for being investigated along the lines of the pragmatic theory of sign relations. The state of the resulting examination, as it stands at the current stage of analysis, is summarized in Table 27, indicating little more than this hypothetical circumstance: That a couple of terms of a formal language, a prospective calculus of "applications" or "appositions" of the form f.g, are intended to be identified in all of their current objective references. Thus, the terms "y0" and "y.y", formed in accord with the still inchoate and yet developing grammar of the intended "appositional calculus" (AC), are set to denote the very same object or objects, all the while that the precise nature of what these signs actually denote is still up for grabs, and in spite of the circumstance that the bare consistency of its logical possibility remains unknown, for all the plausibility of the posability.
Recalling that a "bit" of a sign relation is any subset of its extension, that is, an arbitrary selection of its ordered triples, Table 27 presents a bit of a sign relation that is needed to interpret "The Initial Equation", also known as "TIE".
Table 27. Bit of a Sign Relation for TIE
Object Sign Interpretant
Object Sign Interpretant
Y "Y" "Y"
Y "Y" "Y"
y0 "y.y" "y0"
y0 "y.y" "y0"
y0 "y.y" "y.y"
y0 "y.y" "y.y"
</pre>
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | The paitrick lo'es the fruitfu fells,
|-
| width="5%" | || The plover lo'es the mountains;
|-
| colspan="2" | The woodcock haunts the lonely dells,
|-
| width="5%" | || The soaring hern the fountains:
|-
| colspan="2" | Thro lofty groves the cushat roves,
|-
| width="5%" | || The path o man to shun it;
|-
| colspan="2" | The hazel bush o'erhangs the thrush,
|-
| width="5%" | || The spreading thorn the linnet.
|-
| colspan="2" align="right" | — Robert Burns, ''Now Westlin Winds'', [CPW, 44]
|}
<pre>
In order to refer to an object x, it is necessary to use a sign "x", or something equally good, an equiferent sign, to do so. In a similar vein, in order to refer to a sign "x", it is necessary to use a HO sign <"x">, or something equally good, an equiferent HO sign, to do so.
In order to refer to an object x, it is necessary to use a sign "x", or something equally good, an equiferent sign, to do so. In a similar vein, in order to refer to a sign "x", it is necessary to use a HO sign <"x">, or something equally good, an equiferent HO sign, to do so.
Object Sign Interpretant
Object Sign Interpretant
y0 "y0" = "y.y"
y0 "y0" = "y.y"
</pre>
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | Thus ev'ry kind their pleasure find,
|-
| width="5%" | || The savage and the tender;
|-
| colspan="2" | Some social join, and leagues combine,
|-
| width="5%" | || Some solitary wander:
|-
| colspan="2" | Avaunt, away, the cruel sway!
|-
| width="5%" | || Tyrannic man's dominion!
|-
| colspan="2" | The sportsman's joy, the murd'ring cry,
|-
| width="5%" | || The flutt'ring, gory pinion!
|-
| colspan="2" align="right" | — Robert Burns, ''Now Westlin Winds'', [CPW, 44]
|}
<pre>
Table 29 shows a variety of notations that are available for the first two orders of signs above "x".
Table 29 shows a variety of notations that are available for the first two orders of signs above "x".
"x" <"x"> = "<x>"
"x" <"x"> = "<x>"
</pre>
Table 30
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | But, Peggy dear, the ev'ning's clear,
Table 30. Complex Signs & Their Higher Order Signs
|-
| width="5%" | || Thick flies the skimming swallow;
|-
| colspan="2" | The sky is blue, the fields in view,
|-
| width="5%" | || All fading green and yellow:
|-
| colspan="2" | Come let us stray our gladsome way,
|-
| width="5%" | || And view the charms of Nature;
|-
| colspan="2" | The rustling corn, the fruited thorn,
|-
| width="5%" | || And ilka happy creature.
|-
| colspan="2" align="right" | — Robert Burns, ''Now Westlin Winds'', [CPW, 44]
|}
<pre>
Table 30
Table 30. Complex Signs & Their Higher Order Signs
Object Sign Interpretant
Object Sign Interpretant
"y0 = y.y" "TIE" = <TIE>
"y0 = y.y" "TIE" = <TIE>
</pre>
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | We'll gently walk, and sweetly talk,
|-
| width="5%" | || While the silent moon shines clearly;
|-
| colspan="2" | I'll clasp thy waist, and, fondly prest,
|-
| width="5%" | || Swear how I lo'e thee dearly:
|-
| colspan="2" | Not vernal show'rs to budding flow'rs,
|-
| width="5%" | || Not Autumn to the farmer,
|-
| colspan="2" | So dear can be as thou to me,
|-
| width="5%" | || My fair, my lovely charmer!
|-
| colspan="2" align="right" | — Robert Burns, ''Now Westlin Winds'', [CPW, 44]
|}
<pre>
Table 31
Table 31
=====5.1.2.6. The Epitext=====
=====5.1.2.6. The Epitext=====
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
Green grow the rashes, O;
| colspan="2" | ''Green grow the rashes, O;''
|-
The sweetest hours that e'er I spend,
| width="5%" | || ''Green grow the rashes, O;''
|-
| colspan="2" | ''The sweetest hours that e'er I spend,''
|-
It is time to make explicit mention of a certain wrinkle in this text, even at the risk of warping the record that records this reconnaissance and rendering all the rest of its traces an unceasing problem to itself.
| width="5%" | || ''Are spent among the lasses, O.''
|-
| colspan="2" align="right" | — Robert Burns, ''Green Grow the Rashes, O'', [CPW, 81]
|}
It is time to make explicit mention of a certain wrinkle in this text, even at the risk of warping the record that records this reconnaissance and rendering all the rest of its traces an unceasing problem to itself.
Throughout the course of this ongoing discussion is threaded what I refer to as an “epitext”, a linked succession of epigraphs, that, aside from the incidental interest that their contents may hold, are designed to keep before the mind what a real text is like, with all the potential for meaning and all the problems of interpretation that genuine symbols, complex imagery, and transcendental allusions can present. I cannot be expected to comment on, much less to clarify, all of the relevant aspects and all of the problematic features that are likely to be obvious to even the most casual reader of this epitext, but I think it is important to keep in mind a sense of the distance that is yet to be covered before any theory can claim a true comprehension of real language use.
Why are poetic texts and lyrical materials relevant to the aims of the present project? It is because they “face the music” as soon as they can speak and continue to address it for the rest of their developments. In other words, they speak from the very beginning of their invocations to the most pressing issues of communication and they attempt to tackle in their informal ways the most difficult problems of interpretation, those that formal languages and formal logics often put off till the end of their days, if they ever face up to them at all. Of course, if a set of troubles can be avoided then perhaps it is best to do so. Therefore, if I want to convince anybody that it is worth their bother to engage a given array of issues and problems, then I ought to supply an argument to make it plausible why the types of phenomena in question are likely to be inevitable.
One of the reasons for drawing this epitext from poetic sources is that a genuine poem, aside from its commentary on the passing show, what it seems to say about this ostensibly concrete subject or that divertingly pastoral scene, usually has something extra to say, a surplus meaning or an ulterior motive that sets its aim above and beyond the call of beauty, and this is usually something that it ventures to say about the reasons for its own existence, about the endeavor to communicate that goes into its making, and thus about its total ''context of interpretation'' (COI). In sum, a poem is often meant, at least partly, to address the implicit questions: Why am I writing this? And why am I writing this way?
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | There's nought but care on ev'ry han',
There's nought but care on ev'ry han',
|-
| width="5%" | || In every hour that passes, O:
What signifies the life o man,
|-
| colspan="2" | What signifies the life o man,
|-
| width="5%" | || An 'twere na for the lasses, O.
|-
| colspan="2" align="right" | — Robert Burns, ''Green Grow the Rashes, O'', [CPW, 81]
|}
Aside from its apparent subject, its basic theme, and its commentary on diverse idyllic scenes, a genuine poem often has something to say about the reasons for its existence, the very idea that an author can form an intention, and the form of reception that it is aimed or averse to find. Thus its bits of reflective imagery, properly reconstituted and happily interpreted, make it tantamount to an "implicitly recursive text" (IRT).
Aside from its apparent subject, its basic theme, and its commentary on diverse idyllic scenes, a genuine poem often has something to say about the reasons for its existence, the very idea that an author can form an intention, and the form of reception that it is aimed or averse to find. Thus its bits of reflective imagery, properly reconstituted and happily interpreted, make it tantamount to an ''implicitly recursive text'' (IRT).
What is it that forces a text to bear an immense variety of meanings, a few of them obvious, the bulk of them less so, if not the desire of its author to capture an image of a huge reality in an utterly tiny space, and to convey a fragment of a thicker truth along invisibly thin lines? A task like this can only be achieved through the use of multifaceted symbols and mirrored expressions, the results of multiple and repeated reflections. And a text like this can only be understood by means of an imaginative interpretation. Altogether, this mode of communication is comprehended by establishing a relation between writer and reader, one that is imprisioned at either end by the capacity at that terminus for imagination and reflection.
What is it that forces a text to bear an immense variety of meanings, a few of them obvious, the bulk of them less so, if not the desire of its author to capture an image of a huge reality in an utterly tiny space, and to convey a fragment of a thicker truth along invisibly thin lines? A task like this can only be achieved through the use of multifaceted symbols and mirrored expressions, the results of multiple and repeated reflections. And a text like this can only be understood by means of an imaginative interpretation. Altogether, this mode of communication is comprehended by establishing a relation between writer and reader, one that is imprisioned at either end by the capacity at that terminus for imagination and reflection.
What is it that makes a text able to hold a wealth of meanings within it, if not the complementary desires of a writer and a reader to capture a huge reality between them?
What is it that makes a text able to hold a wealth of meanings within it, if not the complementary desires of a writer and a reader to capture a huge reality between them?
The living creature, in its drive to write itself irreplaceably into the text of the universe and in its essay to render itself indispensible to the task of reading this text with any measure of understanding, ...
The living creature, in its drive to write itself irreplacwably into the text of the universe and in its essay to render itself indispensable to the task of reading this text with any measure of understanding, ...
The war'ly race may riches chase,
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | The war'ly race may riches chase,
An tho at last they catch them fast,
|-
| width="5%" | || An riches still may fly them, O;
|-
| colspan="2" | An tho at last they catch them fast,
|-
| width="5%" | || Their hearts can ne'er enjoy them, O.
|-
| colspan="2" align="right" | — Robert Burns, ''Green Grow the Rashes, O'', [CPW, 81]
|}
The more one steps back from the objects and the phenomena that first struck one's fancy to know, the ones one really desires to understand, in order to get what one imagines will be a better, more analytic, and more conceptual view of them, the more one sees the envisioned ends of understanding receding into the distance of one's altered perspective, leaving one with respect to them barely at the beginnings of analysis. Over time, the visionary ends of inquiry appear to disappear into the mists of one's lately imposed starts, to skip over the marks of one's recently interposed stations, perhaps to await one's tardy arrival at the alpha and omega of one's upstart inquiry.
The more one steps back from the objects and the phenomena that first struck one's fancy to know, the ones one really desires to understand, in order to get what one imagines will be a better, more analytic, and more conceptual view of them, the more one sees the envisioned ends of understanding receding into the distance of one's altered perspective, leaving one with respect to them barely at the beginnings of analysis. Over time, the visionary ends of inquiry appear to disappear into the mists of one's lately imposed starts, to skip over the marks of one's recently interposed stations, perhaps to await one's tardy arrival at the alpha and omega of one's upstart inquiry.
The intervention of an epitext is designed precisely for this reason, to compensate, counteract, and remediate the more deleterious effects of an otherwise heathily growing perspective. The epitext is meant to keep the end in view, to remind the participants in a communication of the type of text that is ultimately desirable to understand, but without demanding its complete unraveling within the immediate frame of time, nor taunting each other so severely with the distances that remain to their goals that all are daunted from continuing with the ongoing task.
The intervention of an epitext is designed precisely for this reason, to compensate, counteract, and remediate the more deleterious effects of an otherwise heathily growing perspective. The epitext is meant to keep the end in view, to remind the participants in a communication of the type of text that is ultimately desirable to understand, but without demanding its complete unraveling within the immediate frame of time, nor taunting each other so severely with the distances that remain to their goals that all are daunted from continuing with the ongoing task.
But gie me a cannie hour at e'en,
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | But gie me a cannie hour at e'en,
An war'ly cares an war'ly men,
|-
| width="5%" | || My arms about my dearie, O,
|-
| colspan="2" | An war'ly cares an war'ly men,
|-
| width="5%" | || May a' gae tapsalteerie, O!
|-
| colspan="2" align="right" | — Robert Burns, ''Green Grow the Rashes, O'', [CPW, 81]
|}
In this way, an epitext can serve a couple of functions within a text:
In this way, an epitext can serve a couple of functions within a text:
<ol style="list-style-type:decimal">
<li><p>The epitext maintains an internal model of the informal context, the actual, intended, or likely "context of interpretation" (COI), or the typical "situation of communication" (SOC) that prevails in a given society of interpretive agents. It does this by preserving a constant but gentle reminder of the type of text that ultimately demands to be understood within this social context. In other words, it represents its social context in terms of its ideals, [??? the expectation that contains it dialogue between the epitext helps to provides an image of the dialogue that ???]</p></li>
a. Epitext : Text = Context : Text. Here, the epitext plays the part of common expectations, generic ideals, or social norms that are invoked in the process of communication.
<li><p>The epitext and the text are in a relation, analogous to a dialogue, that mirrors the relation of the text itself to its casual, informal, or social context. In general, the analogy can be set up in either one of two ways, and can shift its sense from moment to moment:</p></li>
<ol style="list-style-type:lower-latin">
<li><p>Epitext : Text :: Context : Text. Here, the epitext plays the part of common expectations, generic ideals, or social norms that are invoked in the process of communication.</p></li>
<li><p>Epitext : Text :: Text : Context. Here, the epitext gives vent to the individual conceits, idiosyncratic caprices, or whims of the moment that are stirred up by the process of communication.</p></li>
</ol></ol>
What type of text is best to use in an epitext, if it is going to achieve these stated objectives? A ''"paragon of writing'' is an apt title to give to the type of text at issue, since it marks the type of text that is originally desired to be understood and the type of text that ultimately demands to be understood.
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | For you sae douce, ye sneer at this;
|-
| width="5%" | || Ye're nought but senseless asses, O:
|-
| colspan="2" | The wisest man the warl' e'er saw,
|-
| width="5%" | || He dearly lov'd the lasses, O.
|-
| colspan="2" align="right" | — Robert Burns, ''Green Grow the Rashes, O,'', [CPW, 81]
|}
The epitext acts as a kind of tether that helps to keep the end in view. It maintains an internal model of the informal context and preserves a reminder of the kinds of texts that ultimately demand to be understood. In this way, the epitext supplies a canon, a guideline, or a standard within the text, and secrets within the main text not only an image of the object to be analyzed but also an icon of the object to be achieved. Naturally reflective texts, the kinds that occur in poems, in plays, and in other sorts of creative writing, are the best sources of stock for an epitext. These kinds of text have a double relevance to the aims of AI. As materials for analysis, they exemplify the character of real language use in natural settings. As models for methods of analysis, they are capable of addressing complex issues in a casual fashion. Because they are freely chosen from natural sources of exemplary language use, they can serve as examples for analysis that are realistic enough to exemplify the types of phenomena that one desires to understand and difficult enough to test the methods of analysis that one proposes to use. Because it is their nature in part to reflect on their own nature as texts, they often contain insightful commentaries on this very nature.
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | Auld Nature swears, the lovely dears
|-
| width="5%" | || Her noblest work she classes, O:
|-
| colspan="2" | Her prentice han' she try'd on man,
|-
| width="5%" | || An then she made the lasses, O.
|-
| colspan="2" align="right" | — Robert Burns, ''Green Grow the Rashes, O'', [CPW, 81]
|}
Let me then try to summarize the bearings that these poems and songs, these innocently reflective and innocuously self reverent types of texts, can be contemplated as having on the present inquiry, and again on the encompassing viability of AIR. Their relevance is twofold, bearing on the matter in question from complementary directions:
First, there is their negative or limitative bearing. As materials for analysis, poetic and lyrical texts contribute some of the hardest, most resilient, and most resistant cases that are known to confront the work of natural language understanding, and so they serve to puncture many of the rashest pretenses that this task is anywhere near to being done. Of course, if poetic and lyrical modes of production and comprehension are justly relegated to the status of mere diversions, then the task of unraveling their mysteries can be deemed a much less critical problem. However, if the resources that are elaborated and exploited in these manners of impression and expression are somehow essential to the very ideas of significant communication and meaningful interpretation, then it becomes a more crucial requirement to understand how they operate.
Second, there is their positive or productive bearing. As hints of models and heralds of methods, these types of texts hold out some hope that a text can sensibly comment on the task of achieving its own style of communication, the writing of it, the sending of it, the reading of it. More than that, their stock in variety of canonical styles helps to offer a cornucopia of constructive suggestions for ways of actually doing so. The chance of a text being able to express a perceptive reflection comes near the heart of the present matter, and the likelihood of a text having the power to embody an insightful self commentary brings the immediate discussion within a heartbeat of the inquiry into inquiry, for if a writing can teach about writing then perhaps an inquiry can learn about inquiry.
=====5.1.2.7. The Context of Interpretation=====
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | To the weaver's gin ye go, fair maids,
|-
| width="5%" | || To the weaver's gin ye go,
|-
| colspan="2" | I rede you right, gang ne'er at night,
|-
| width="5%" | || To the weaver's gin ye go.
|-
| colspan="2" align="right" | — Robert Burns, ''To the Weaver's Gin You Go'', [CPW, 306]
|}
As this discussion proceeds, it is designed to expand the scope of what it can analyze successfully from simple signs to complex expressions to extended texts. In this progression, the pragmatic theory of signs is used as a unifying thread to connect the different levels of complexity. Accordingly, it needs to be kept in mind throughout the discussion that references to ''signs'', unless specified otherwise, can generally be taken in a maximally inclusive sense, referring also to expressions and texts.
One benefit of this openness is that it permits the exploration of the thinking mind's connection with information.
The more complex and more extended a sign, expression, or text becomes the more occasion it has for referring to many other objects on its way to achieving its ultimate denotation. Some of these implicit, incidental, and intermediate objects can be components, properties, and relations of the sign, expression, or text itself, perhaps amounting to its accidental connotations and its intended interpretants. When it comes to a highly involved sign, expression, or text, some of its subsidiary effects and ulterior objects can even be aspects or elements of those very agents and those very media that are actually, imagined, or intended to be involved in its production, transmission, or reception.
My mither sent me to the town,
In many respects, these ''side effects'' are actually more important from a practical standpoint than the ''token objects'' of denotation, that is, the nominal results and the ostensible values that merely serve to mark the successful outcome of the interpretation process. Anything that an agent strives toward achieving or that a system moves toward attaining can be called its ''object'', and so there arises the possibility that a ''global object'' or a ''derivative object'', a thing constructed or reconstructed from various bits and pieces of extraneous references, is that which primarily or effectively calls or drives the greater action. If it strikes one as strange that an object construed from epiphenomenal marks and tangential signs should be the main motive and real object of the process of interpretation, it ought to be remembered that a special case of this already appears in the form of the semantic partitions that reconstruct the forms of their object domains. Accordingly, the types of global objects and derivative objects that emerge from the present considerations are just the ultimate generalizations of SECs.
But the weary, weary warpin o't
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | My heart was ance as blythe and free
|-
| width="5%" | || As simmer days were lang;
|-
| colspan="2" | But a bonie, westlin weaver lad
|-
| width="5%" | || Has gart me change my sang.
|-
| colspan="2" align="right" | — Robert Burns, ''To the Weaver's Gin You Go'', [CPW, 306]
|}
Signs are typical of the contents of consciousness. Indeed, from the standpoint of the pragmatic theory of signs, where a maximally general definition of signs holds sway, signs are considered to be all inclusive, generically identical, or simply co extensive with the class of phenomena that are commonly known as the contents of consciousness. In this view of the matter, a complex expression is analogous to a complex concept, of an order that is typically but not exclusively constructed in deliberate and purposeful thinking processes, while an extended text is analogous to an ongoing stream of consciousness or a long drawn out process of reasoning, whatever its character may be.
This analogy or identity between signs and contents of consciousness can help to explain the pains I am taking in the present discussion to elucidate the structures of self referent signs, expressions, and texts. With this key to its interpretation, a sign that denotes itself attracts interest because it presents an icon of self awareness. In other words, a sign relation that is called on to make sense of a self denoting sign affords a particular type of formal model, one that captures a relevant aspect of the structure that is involved in a content of consciousness referring to itself. In a corresponding fashion, a text that refers to itself, in whole or in part, is analogous to a conscious process that makes reference to itself, its aspects, or its instants.
It needs to be noted what I am not saying here. I do not say that signs and texts are themselves aware, or that consciousness needs to emerge from them, however much they can serve to attract the attention of already conscious agents. Indeed, I am taking no position yet on the questions of whether or how consciousness can emerge from conceivably non conscious materials. At present, I am only interested in describing the formal relations or the structural relationships that can be noted to exist among contents of consciousness, as noted, and not to explain the bare facts of these contents, much less to explain the circumstance of consciousness itself. With regard to this purely descriptive purpose, the main task for the near future is to develop an array of conceptual frameworks that can be put to work in organizing formal descriptions and in converting suitable portions of them into effective descriptions. As long as one works under the aegis of these methodological limitations, the following maxim needs to be kept in mind: The only thing that a formal model can capture is the form of something. Whether form is of the essence in the case of the human psyche is in fact an ancient and a still important question, but not one that I hope to answer just yet. The patent answer that presents itself is to keep the question open, and to continue exploring all of the available options.
One benefit of this openness is that it permits the exploration of the thinking mind's connection with information.
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | My mither sent me to the town,
|-
| width="5%" | || To warp a plaiden wab;
|-
| colspan="2" | But the weary, weary warpin o't
|-
| width="5%" | || Has gart me sigh and sab.
|-
| colspan="2" align="right" | — Robert Burns, ''To the Weaver's Gin You Go'', [CPW, 307]
|}
The reason for my interest in signs, a reason that accounts for their part in inquiry and helps to explain their role in AIR, is that I take signs to be identical with all that is able to appear in awareness, or all that can be a content of consciousness. This amounts to saying that the ostensible analogy between signs and contents of consciousness, and thus between texts and streams of consciousness, is a potential identity. Speaking with respect to their potentiality, I would like to suggest that signs are identical with the possible contents of consciousness, and that the contents of consciousness all have the characters of potential signs. The broadest conceivable definition of what constitutes a "sign" leads to the broadest conceivable definition of what constitutes a "text", and so one is led to the idea that the whole stream of consciousness belonging to a person or a community, not just the miniscule fraction of it that happens to get written down in the conventional arrays of characters, can literally be regarded as a text.
The reason for my interest in signs, a reason that accounts for their part in inquiry and helps to explain their role in AIR, is that I take signs to be identical with all that is able to appear in awareness, or all that can be a content of consciousness. This amounts to saying that the ostensible analogy between signs and contents of consciousness, and thus between texts and streams of consciousness, is a potential identity. Speaking with respect to their potentiality, I would like to suggest that signs are identical with the possible contents of consciousness, and that the contents of consciousness all have the characters of potential signs. The broadest conceivable definition of what constitutes a "sign" leads to the broadest conceivable definition of what constitutes a "text", and so one is led to the idea that the whole stream of consciousness belonging to a person or a community, not just the miniscule fraction of it that happens to get written down in the conventional arrays of characters, can literally be regarded as a text.
This is not the place to argue for the full strength of the proposed identity:
This is not the place to argue for the full strength of the proposed identity:
<pre>
Phenomena = Appearances in Awareness
Phenomena = Appearances in Awareness
= Contents of Consciousness
= Contents of Consciousness
= Signs.
= Signs.
</pre>
Indeed, if one conceives consciousness to be a continuum, more exactly, if one considers every connected field (and stream) of consciousness to be a continuous manifold, as it very likely is, then this argument would depart from the realm of discrete signs and finite texts that is proper to computational models.
Indeed, if one conceives consciousness to be a continuum, more exactly, if one considers every connected field (and stream) of consciousness to be a continuous manifold, as it very likely is, then this argument would depart from the realm of discrete signs and finite texts that is proper to computational models.
No matter how carefully the terms are qualified, allowing the equations to apply in purely formal and wholly potential senses, the argument for the soundness of this joint identification is by no means easy, presents the danger of leading this discussion far afield, if not astray, and is, in any case, not really needed to achieve the aims of the present work. Fortunately, while the full strength of the identity is not required for the present application, it can continue to serve as a useful analogy.
No matter how carefully the terms are qualified, allowing the equations to apply in purely formal and wholly potential senses, the argument for the soundness of this joint identification is by no means easy, presents the danger of leading this discussion far afield, if not astray, and is, in any case, not really needed to achieve the aims of the present work. Fortunately, while the full strength of the identity is not required for the present application, it can continue to serve as a useful analogy.
This is not the place to argue for my particular way of seeing things, whose rationale ultimately depends on the integral relationship between the pragmatic style of phenomenology and the pragmatic theory of signs. There is still too much potential for misunderstanding between the writer that is due merely to possible differences in the uses of words, and not to any matters of substance. Until these ideas can be fully developed, the relation between signs and contents of consciousness, or the relation between texts and streams of consciousness, can still be treated as a useful analogy.
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | A bonie, westlin weaver lad
The array of what appears in awareness and the condition of what can be a content of consciousness is the range and quality of "phenomena". To study what is able to appear in awareness and to contemplate what could be a content of consciousness is to consider "phenomena" in general. A study that treats of phenomena, whether in their widest generality or restricted in a particular way, is appropriate to call a "phenomenology". There are many different styles of phenomenology, in spite of the factious pretenses of universality that are likely to be part and parcel of any style that is particular enough to find favor with a party of individual agents.
|-
| width="5%" | || Sat working at his loom;
|-
| colspan="2" | He took my heart, as wi a net,
|-
| width="5%" | || In every knot and thrum.
|-
| colspan="2" align="right" | — Robert Burns, ''To the Weaver's Gin You Go'', [CPW, 307]
|}
This is not the place to argue for my particular way of seeing things, whose rationale ultimately depends on the integral relationship between the pragmatic style of phenomenology and the pragmatic theory of signs. There is still too much potential for misunderstanding between the writer that is due merely to possible differences in the uses of words, and not to any matters of substance. Until these ideas can be fully developed, the relation between signs and contents of consciousness, or the relation between texts and streams of consciousness, can still be treated as a useful analogy.
The array of what appears in awareness and the condition of what can be a content of consciousness is the range and quality of "phenomena". To study what is able to appear in awareness and to contemplate what could be a content of consciousness is to consider "phenomena" in general. A study that treats of phenomena, whether in their widest generality or restricted in a particular way, is appropriate to call a "phenomenology". There are many different styles of phenomenology, in spite of the factious pretenses of universality that are likely to be part and parcel of any style that is particular enough to find favor with a party of individual agents.
From the pragmatic point of view, there is a close relation between phenomena and signs.
From the pragmatic point of view, there is a close relation between phenomena and signs.
The style of phenomenology that is needed for this work is the subject of a later discussion. Here, I make only the remarks that are needed for orientation.
The style of phenomenology that is needed for this work is the subject of a later discussion. Here, I make only the remarks that are needed for orientation.
I sat beside my warpin wheel,
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | I sat beside my warpin wheel,
But every shot and every knock,
|-
| width="5%" | || And ay I ca'd it roun.
|-
| colspan="2" | But every shot and every knock,
|-
| width="5%" | || My heart it gae a stoun.
|-
| colspan="2" align="right" | — Robert Burns, ''To the Weaver's Gin You Go'', [CPW, 307]
|}
The pragmatic idea about phenomena is that all phenomena are signs of significant objects, except for the ones that are not. In effect, all phenomena are meant to appear before the court of significance and are deemed by their very nature to be judged as signs of potential objects. Depending on how one chooses to say it, the results of this evaluation can be rendered in one of the following ways:
The pragmatic idea about phenomena is that all phenomena are signs of significant objects, except for the ones that are not. In effect, all phenomena are meant to appear before the court of significance and are deemed by their very nature to be judged as signs of potential objects. Depending on how one chooses to say it, the results of this evaluation can be rendered in one of the following ways:
<ol style="list-style-type:decimal">
<li><p>Some phenomena are in fact signs of significant objects. That is, they turn out to exist in a certain relation, one that is formally identical to a sign relation, wherein they denote objects that are important to the agent in question, an agent that thereby becomes the interpreter of these signs.</p></li>
<li><p>Some phenomena fail to be signs of significant objects, however much they initially appear to be. In this event, the failure can be accounted for in either one of two ways:</p></li>
<ol style="list-style-type:lower-latin">
</pre>
<li><p>Some phenomena can fail to be signs of any objects at all. This amounts to saying that what appears is not really a sign at all, not really a sign of any object at all.</p></li>
<pre>
<li><p>All phenomena are signs in some sense, even if only granted a default, nominal, or token designation as signs, but some signs still fail to qualify as signs of significant objects, because the objects they signify are not important to the agents in question.</p></li>
</ol></ol>
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | The moon was sinking in the west,
|-
| width="5%" | || Wi visage pale and wan,
|-
| colspan="2" | As my bonie, westlin weaver lad
|-
| width="5%" | || Convoy'd me thro the glen.
|-
| colspan="2" align="right" | — Robert Burns, ''To the Weaver's Gin You Go'', [CPW, 307]
|}
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | But what was said, or what was done,
|-
| width="5%" | || Shame fa' me gin I tell;
|-
| colspan="2" | But Oh! I fear the kintra soon
|-
| width="5%" | || Will ken as weel's myself!
|-
| colspan="2" align="right" | — Robert Burns, ''To the Weaver's Gin You Go'', [CPW, 307]
|}
2. A "fully interpretive grammar" (FIG), more commonly referred to as the "full grammar" of a language, is a body of knowledge that generates or specifies a FIL, incorporating the full details of its syntax, semantics, and pragmatics.
=====5.1.2.8. The Formative Tension=====
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | A lassie all alone, was making her moan
|-
| width="5%" | || Lamenting our lads beyond the sea: —
|-
| colspan="2" | “In the bluidy wars they fa', and our honor's gane an a',
|-
| width="5%" | || And broken hearted we maun die.”
|-
| colspan="2" align="right" | — Robert Burns, ''As I Stood by Yon Roofless Tower'', [CPW, 570]
|}
An incidental purpose of this reconnaissance is to point out the more problematic features of interpretation, and especially the properties of sign comprehension that are observed to be salient in natural settings. It is these more problematic aspects of interpretation that ultimately place the greatest demands on artificial intelligence research, at any rate, if it is going to support an understanding of the ways that human beings use real languages in real practice, or if it is ever going to supply a medium for modeling the ways that human beings develop an ability to produce and to understand real texts.
I am sensitive to the possibility that there are many features in the situation of the present inquiry, perhaps due solely to my description, that make it appear like an artificial, an implausible, or a specialized set of circumstances. I begin by discussing a number of these features, after which I argue that they are really quite typical of any situation where one has to interpret a problematic text in a problematic language. A text or a language is ''problematic'', of course, only in relation to a prospective interpreter. To clarify this sense of the word ''problematic'' it helps to introduce the following definitions.
# A "fully interpretive language" (FIL) is one whose attributes are fully filled out in all three directions of natural language use, to wit, along syntactic, semantic, and pragmatic dimensions.
# A "fully interpretive grammar" (FIG), more commonly referred to as the "full grammar" of a language, is a body of knowledge that generates or specifies a FIL, incorporating the full details of its syntax, semantics, and pragmatics.
# A "problematic text" is one that seems to make some sort of sense, but whose meaning, if any, is not entirely clear on first reading.
# A "problematic language" is one whose "full grammar" is not yet available for articulation by the user in question, no matter how well the user is able to employ the language itself. It ought to be obvious that all "natural languages" are problematic for their customary users.
As I stood by yon roofless tower,
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | As I stood by yon roofless tower,
Where the houlet mourns in her ivy bower,
|-
| width="5%" | || Where the wa'flow'r scents the dewy air,
|-
| colspan="2" | Where the houlet mourns in her ivy bower,
|-
| width="5%" | || And tells the midnight moon her care:
|-
| colspan="2" align="right" | — Robert Burns, ''As I Stood by Yon Roofless Tower'', [CPW, 570]
|}
One of the functions of the epitext that I am weaving through the main text of this discussion is to keep constantly before the mind the more problematic features of natural languages, to illustrate the diversity of their utilities, and to notice a few of the elaborative, figurative, and imaginative devices that are not so easily formalized.
One of the functions of the epitext that I am weaving through the main text of this discussion is to keep constantly before the mind the more problematic features of natural languages, to illustrate the diversity of their utilities, and to notice a few of the elaborative, figurative, and imaginative devices that are not so easily formalized.
It is true that poems and programs share a conscious definition, coming to their collective senses under the head of "effective description" (ED). At least, it ought to be clear to the impartial observer that there is a close kinship between "the words that do" to engender action, that start it toward the hope of eventual success, and "the words that fit" a finite ambition, that point it toward the realms of eternal truth, and that this relation amounts to an accord that unites their intentions or a resonance that serves to bind their performance into a concerted whole, so I leave the reader to rede which is which and to judge on a case by case basis what the individual occasion demands.
It is true that poems and programs share a conscious definition, coming to their collective senses under the head of ''effective description''. At least, it ought to be clear to the impartial observer that there is a close kinship between ''the words that do'' to engender action, that start it toward the hope of eventual success, and ''the words that fit'' a finite ambition, that point it toward the realms of eternal truth, and that this relation amounts to an accord that unites their intentions or a resonance that serves to bind their performance into a concerted whole, so I leave the reader to rede which is which and to judge on a case by case basis what the individual occasion demands.
It is also true that abstract category theory, in the ways that it affords a view of formal analogies, is largely a study of mathematical metaphors. But aside from all that, there is much else that mathematicians, poets, and programmers are bound to see alike and ought to share in common.
It is also true that abstract category theory, in the ways that it affords a view of formal analogies, is largely a study of mathematical metaphors. But aside from all that, there is much else that mathematicians, poets, and programmers are bound to see alike and ought to share in common.
Under many natural circumstances, the only way to unravel the meaning of a problematic text is to place it in the field of influence of a FIL, typically as embodied in a variety of different interpreters, and to see how it is led to develop along the prevailing lines of interpretive force. In corresponding circumstances, approached in a complementary fashion, the only way to uncover the structure of a problematic language is to scatter a sample of signs and texts throughout its field of influence, and then to observe how these literal test particles are led to develop along interpretive lines, and if there is a coherent sensibility in force.
Under many natural circumstances, the only way to unravel the meaning of a problematic text is to place it in the field of influence of a FIL, typically as embodied in a variety of different interpreters, and to see how it is led to develop along the prevailing lines of interpretive force. In corresponding circumstances, approached in a complementary fashion, the only way to uncover the structure of a problematic language is to scatter a sample of signs and texts throughout its field of influence, and then to observe how these literal test particles are led to develop along interpretive lines, and if there is a coherent sensibility in force.
The winds were laid, the air was still,
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | The winds were laid, the air was still,
The tod was howling on the hill,
|-
| width="5%" | || The stars they shot along the sky,
|-
| colspan="2" | The tod was howling on the hill,
|-
| width="5%" | || And the distant-echoing glens reply.
|-
| colspan="2" align="right" | — Robert Burns, ''As I Stood by Yon Roofless Tower'', [CPW, 570]
|}
One of the abiding tasks of "artificial intelligence research" (AIR) is to figure out how natural languages do what they do for the human mind. This task amounts to articulating the FIL's that humans actually use, and thus to arrive at the "fully interpretive grammars" (FIG's) that generate these FIL's, shaping their syntax, semantics, and pragmatics. The main tool that one has in this task is "formalization", the process that devises formal models for the ongoing processes of interpretation.
One of the abiding tasks of artificial intelligence research is to figure out how natural languages do what they do for the human mind. This task amounts to articulating the FILs that humans actually use, and thus to arrive at the ''fully interpretive grammars'' (FIGs) that generate these FILs, shaping their syntax, semantics, and pragmatics. The main tool that one has in this task is ''formalization'', the process that devises formal models for the ongoing processes of interpretation.
Until one develops a battery of formal methods for exploring fields of interpretive influence and for tracing lines of interpretive force, one tends to be impelled by signs without understanding how or why one is moved by them, to wallow around in interpretive phenomena with little control over what develops, and to wander aimlessly through domains of apparent significance and evident meaning with no insight into their underlying structures and generative forms. Consequently, an attempt to avoid all formalization, though it appears at first sufficient to the gaining of experience, is not sufficient to the gaining of understanding, and therefore ultimately leads to the impoverishment of experience itself.
Until one develops a battery of formal methods for exploring fields of interpretive influence and for tracing lines of interpretive force, one tends to be impelled by signs without understanding how or why one is moved by them, to wallow around in interpretive phenomena with little control over what develops, and to wander aimlessly through domains of apparent significance and evident meaning with no insight into their underlying structures and generative forms. Consequently, an attempt to avoid all formalization, though it appears at first sufficient to the gaining of experience, is not sufficient to the gaining of understanding, and therefore ultimately leads to the impoverishment of experience itself.
Unfortunately, there are equally pernicious tendencies that arise in the attempt to formalize experience and thus to arrive at formalized models. There is the tendency, in pursuing formalizations of a difficult subject, to settle on a premature formalization, that is, a narrowly circumscribed set of models, or an overly simplistic typology for addressing the topic, and then, in a vain attempt to avoid further difficulties by dictating to the subject how it ought to behave, to think that a partially successful formalization gives one the right to bar the subject from leaving the charmed circle swept out by its survey, or else to think that one can afford to ignore all aspects of the subject that do not fit within it. This temptation seems to arise on a recurring basis in the history of every formal science, being so well known from the dawn of awareness that its pattern is emblazoned in myth under the name of "Procrustes".
Unfortunately, there are equally pernicious tendencies that arise in the attempt to formalize experience and thus to arrive at formalized models. There is the tendency, in pursuing formalizations of a difficult subject, to settle on a premature formalization, that is, a narrowly circumscribed set of models, or an overly simplistic typology for addressing the topic, and then, in a vain attempt to avoid further difficulties by dictating to the subject how it ought to behave, to think that a partially successful formalization gives one the right to bar the subject from leaving the charmed circle swept out by its survey, or else to think that one can afford to ignore all aspects of the subject that do not fit within it. This temptation seems to arise on a recurring basis in the history of every formal science, being so well known from the dawn of awareness that its pattern is emblazoned in myth under the name of ''Procrustes''.
The burn, adown its hazelly path,
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | The burn, adown its hazelly path,
Hasting to join the sweeping Nith,
|-
| width="5%" | || Was rushing by the ruin'd wa',
|-
| colspan="2" | Hasting to join the sweeping Nith,
|-
| width="5%" | || Whase roaring seemed to rise and fa'.
|-
| colspan="2" align="right" | — Robert Burns, ''As I Stood by Yon Roofless Tower'', [CPW, 570]
|}
Generally speaking, formalizations constitute an indispensable utility in adapting the intellect to its environment and in helping it to build up relatively stable systems of organized knowledge. But it takes a "force" to make things "fit", since the formal picture is partial to its own bias, and the intellectual image distorts the world as much as it adapts to it.
Generally speaking, formalizations constitute an indispensable utility in adapting the intellect to its environment and in helping it to build up relatively stable systems of organized knowledge. But it takes a ''force'' to make things ''fit'', since the formal picture is partial to its own bias, and the intellectual image distorts the world as much as it adapts to it.
The "violence" that is involved in a formalization, that is, the degree of its departure from nature, is observed to become especially acute each time that a specialized community of inquirers succeeds in developing a fresh array of formal methods and formal models, and thereby acquires a standardized resource that appears to equip them with an expanded range of formal powers. For those inquirers, these are competencies whose winning is not easy and whose salve they do not wish to give up, as they think they might by thinking too much about the lineaments of its ligaments and the limitations of its liniments. Consequently, one finds that the following sort of situation typifies the state of formal inquiry: Against every conscious caution that the formalization is only partial and in spite of every conscientious concession that the object domain is vastly more complex that any representation can contain, the tendency persists, once a formalization is fixed, to treat it just as if it were already and always would be perfectly adequate to the object.
The ''violence'' that is involved in a formalization, that is, the degree of its departure from nature, is observed to become especially acute each time that a specialized community of inquirers succeeds in developing a fresh array of formal methods and formal models, and thereby acquires a standardized resource that appears to equip them with an expanded range of formal powers. For those inquirers, these are competencies whose winning is not easy and whose salve they do not wish to give up, as they think they might by thinking too much about the lineaments of its ligaments and the limitations of its liniments. Consequently, one finds that the following sort of situation typifies the state of formal inquiry: Against every conscious caution that the formalization is only partial and in spite of every conscientious concession that the object domain is vastly more complex that any representation can contain, the tendency persists, once a formalization is fixed, to treat it just as if it were already and always would be perfectly adequate to the object.
The cauld blae North was streaming forth
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | The cauld blae North was streaming forth
Athort the lift they start and shift,
|-
| width="5%" | || Her lights, wi hissing, eerie din:
|-
| colspan="2" | Athort the lift they start and shift,
Now, looking over firth and fauld,
|-
| width="5%" | || Like Fortune's favors, tint as win.
When lo! in form of minstrel auld
|-
| colspan="2" align="right" | — Robert Burns, ''As I Stood by Yon Roofless Tower'', [CPW, 570]
|}
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | Now, looking over firth and fauld,
|-
| width="5%" | || Her horn the pale faced Cynthia rear'd,
|-
| colspan="2" | When lo! in form of minstrel auld
|-
| width="5%" | || A stern and stalwart ghaist appear'd.
|-
| colspan="2" align="right" | — Robert Burns, ''As I Stood by Yon Roofless Tower'', [CPW, 570]
|}
He sang wi joy his former day,
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | And frae his harp sic strains did flow,
But what he said it was nae play!
|-
| width="5%" | || Might rous'd the slumbering Dead to hear,
|-
| colspan="2" | But O, it was a tale of woe
|-
| width="5%" | || As ever met a Briton's ear!
|-
| colspan="2" align="right" | — Robert Burns, ''As I Stood by Yon Roofless Tower'', [CPW, 570]
|}
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | He sang wi joy his former day,
|-
| width="5%" | || He, weeping, wail'd his latter times:
|-
| colspan="2" | But what he said — it was nae play!
|-
| width="5%" | || I winna ventur't in my rhymes.
|-
| colspan="2" align="right" | — Robert Burns, ''As I Stood by Yon Roofless Tower'', [CPW, 570]
|}
=====5.1.2.9. The Vehicle of Communication : Reflection on the Scene, Reflection on the Self=====
=====5.1.2.9. The Vehicle of Communication : Reflection on the Scene, Reflection on the Self=====
=====5.1.2.12. Recursions : Possible, Actual, Necessary=====
=====5.1.2.12. Recursions : Possible, Actual, Necessary=====
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
Is there a whim inspired fool,
| colspan="2" | Is there a whim-inspired fool,
Owre fast for thought, owre hot for rule,
|-
Owre blate to seek, owre proud to snool?
| colspan="2" | Owre fast for thought, owre hot for rule,
|-
And owre this grassy heap sing dool,
| colspan="2" | Owre blate to seek, owre proud to snool?
|-
| width="5%" | || Let him draw near;
|-
| colspan="2" | And owre this grassy heap sing dool,
|-
| width="5%" | || And drap a tear.
|-
| colspan="2" align="right" | — Robert Burns, ''A Bard's Epitaph'', [CPW, 220]
|}
The purpose of a sign, for instance, a name, expression, program, or text, is to denote and possibly to describe an object, for instance, a thing, situation, mode of being, or activity in the world. In cases of practical interest, the object is usually very complex and the sign is usually very simple. Indeed, the intention of the whole descriptive enterprise is take objects as complex and as subtle as possible and to arrive at signs as simple and as concrete as the agent can conceive of fashioning to describe that object. Not surprisingly, the value of this exercise to the agent that carries it out is measured by the degree of difference in the apparent complexities of the object and the sign, or the proportion of success in this project is the measure of its value to the agent involved in it. In the cases of ultimate interest, the sorts of objects that the agent is charged to describe begin with something like the natural and social world itself, moves on to the natural and social language that avails itself to describe this world, and ends up with the natural and social mind that evolves in association with this language and with this world. In effect, a ''trialogue'', a three way dialogue or a threefold dialectic.
When the reality to be described is infinitely more complex than the typically finite resources that an agent has to describe it, then any number of elliptic, multiple, and repeated uses of these resources are bound to occur, leading to the strategies of approximation, abstraction, and recursion, respectively. All of these techniques have in common the fact that a ''systematic ambiguity'' in the use of signs is introduced and tolerated, necessitating a new order of context sensitivity, discernment, intelligence, or just plain good sense in the conduct of interpretations. A ''systematic ambiguity'' or a ''controlled equivocation'' occurs when the same sign is used for many different things or when the same sign is used at many different stages of a process.
Although the elliptic strategy of approximation is tantamount to simply ''leaving off'' from the effort to describe a difficult object, in effect, ''throwing up one's hands'' in exasperation, exhaustion, supplication, or surrender, by this means hoping to escape from the self imposed part of the requirement to describe it more closely, and finally ''giving up'' the attempted description with the significance of the data already recorded, no matter how much the ''broken off'' approach ''falls short'' of its goal, the closely related strategies of abstraction and recursion are rather more persistent in their tries at describing the object.
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | Is there a Bard of rustic song,
|-
| colspan="2" | Who, noteless, steals the crowds among,
|-
| colspan="2" | That weekly this area throng?
|-
| width="5%" | || O, pass not by!
|-
| colspan="2" | But, with a frater-feeling strong,
|-
| width="5%" | || Here, heave a sigh.
|-
| colspan="2" align="right" | — Robert Burns, ''A Bard's Epitaph'', [CPW, 220]
|}
In effect, so long as an agent sticks to the object and persists in the purpose of describing it / this kind of object, ... In other words, an agent is forced to resort to the stratagems of abstraction and recursion, where the same sign is used for many different objects and when the same sign is used to mark the progress of an activity at many different stages of its process, respectively. The underlying principle involved here is a kind of ''pragmatic pigeonhole principle''.
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | Is there a man, whose judgment clear
|-
| colspan="2" | Can others teach the course to steer,
|-
| colspan="2" | Yet runs, himself, life's mad career,
|-
| width="5%" | || Wild as the wave? —
|-
| colspan="2" | Here pause — and, thro the starting tear,
|-
| width="5%" | || Survey this grave.
|-
| colspan="2" align="right" | — Robert Burns, ''A Bard's Epitaph'', [CPW, 220]
|}
A ''resilient enough system of interpretation'' (RESOI), if driven to the point of distraction by the task of describing an inexhaustibly complex reality, makes several strategies available to its interpretive agent, either for preventing its being driven over the edge or for recovering from the inevitable lapses of attention that nevertheless happen to occur. The most salient of these strategies can be organized for discussion in the following manner:
'''Approximation.''' In resorting to approximation, one accepts the variety of natural bounds that apply to one's capacities for significant denotation, acknowledges the practical constraints that affect one's abilities for attending to detail and retaining exact records, and acts accordingly. This means recognizing the limitations of one's capacity for attention, recording the amounts that one can at the levels of accuracy that are feasible, and restricting one's intentions appropriately to capturing an aspect of one's object or representing a fraction of its reality.
'''Abstraction.''' In resorting to abstraction, one is trying to escape the limitations of a ''strict democracy'' in one's representations, otherwise known as the "one object, one sign" rule. Abstraction occurs when the same sign is used to refer to many different things, often conceived to form a class or a set of objects. In effect, abstraction introduces a common name or a general concept that denotes each individual object in a multitude of particular objects. Typically and most effectively, this comes about in recognition of a common attribute, a general feature, or a universal property that all of these objects share, giving the process of abstraction the beneficial side effect that the abstract sign can be newly re interpreted as referring to the abstract property in question.
Depending on the kinds of entities that are covered by an abstraction and the orders of logical complexity that are involved in this coverage, abstractions can be classified according to their domains of application and qualified according to their manners of construction and derivation. The next topics for discussion are two varieties of abstraction, called ''recursion'' and ''polymorphism'', that are especially important for the purpose of building computational models of interpretation and that deserve special mention in the present inquiry.
2. "Reflexive signs" are signs that indicate themselves or their issuer.
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | The poor inhabitant below
|-
| colspan="2" | Was quick to learn and wise to know,
|-
| colspan="2" | And keenly felt the friendly glow,
|-
| width="5%" | || And softer flame;
|-
| colspan="2" | But thoughtless follies laid him low,
|-
| width="5%" | || And stain'd his name!
|-
| colspan="2" align="right" | — Robert Burns, ''A Bard's Epitaph'', [CPW, 220]
|}
'''Recursion''' occurs when the same sign is used at different stages of a designated process, referring to different amounts of work to be done, marking the different amounts of work already done that establish the different settings of work going on, and often appearing at different levels of the agenda, charge, or mission that plots out this process. When a process is described by a text, that is, by a recorded agenda, outline, program, recipe, or script, then the recursion is typically reflected in the recursive sign's appearance at different structural levels of the text that serves to recapitulate or specify the process. For instance, a recursive sign can show up initially in the heading and then turn up at least one more time in the body of a text that codes a specification of a procedure, a text that formulates a definition of a function, or a text that constitutes a program, routine, or subprogram.
'''Polymorphism''' is a type of higher order abstraction that occurs when the same sign is used to denote elements of many different conceptual classes or objects of many distinct logical types. Comprehending the possible options calls for many alternative "conventions of intention", many heterogeneous "directions of connotation", and many splintered if still overlapping "moments of interpretation" to sort out the profusion of senses that is engendered. In the intermediate time frame, this type of diversity can appear to require a panoply of intellectual conceptions to organize the resulting multitude of meanings and to demand a variety of connotative planes to arrange their separate senses across, but it ultimately leads to a richer idea of the original aim or the intended object, as the potential for interpretation can be attributed to it.
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | Reader, attend! whether thy soul
|-
| colspan="2" | Soars Fancy's flights beyond the pole,
|-
| colspan="2" | Or darkling grubs in this earthly hole,
|-
| width="5%" | || In low pursuit;
|-
| colspan="2" | Know, prudent, cautious, self control
|-
| width="5%" | || Is wisdom's root.
|-
| colspan="2" align="right" | — Robert Burns, ''A Bard's Epitaph'', [CPW, 220]
|}
One of the aims of this work as a whole is to explain the use of sign relations in the interpretation of complex texts, for instance, this sentence, this paragraph, this entire work, just to name a few of the most obvious examples among the many that are conceivable. As the text I produce to explain the pragmatic theory of sign relations is itself just a sign in a sign relation to which the theory is intended to apply, the encounter with self reference, in both the senses of a self referent text and a self referent writer, cannot be avoided. Among the questions that this encounter brings in its train are the issues of self indicating signs, texts, and interpreters, bringing the following topics to a head:
# '''Indexical signs''' are signs that indicate their own interpretive context.
# '''Reflexive signs''' are signs that indicate themselves or their issuer.
# '''Recursive signs''' are signs that embody, enclose, or invoke themselves, that count themselves among their own parts or that include references to these parts within their own compositions, for instance, texts that incorporate references to their own headings, subtitles, or titles.
=====5.1.2.13. Ostensibly Recursive Texts=====
=====5.1.2.13. Ostensibly Recursive Texts=====
=====5.1.2.19. Reflectively Indexical Texts=====
=====5.1.2.19. Reflectively Indexical Texts=====
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
Now Robin lies in his last lair,
| colspan="2" | Now Robin lies in his last lair,
He'll gabble rhyme, nor sing nae mair;
|-
Cauld poverty wi hungry stare,
| colspan="2" | He'll gabble rhyme, nor sing nae mair;
|-
Nor anxious fear, nor cankert care,
| colspan="2" | Cauld poverty wi hungry stare,
|-
| width="5%" | || Nae mair shall fear him;
|-
| colspan="2" | Nor anxious fear, nor cankert care,
|-
| width="5%" | || E'er mair come near him.
|-
| colspan="2" align="right" | — Robert Burns, ''Elegy on the Death of Robert Ruisseaux'', [CPW, 268]
|}
A "reflectively indexical text" (RIT) is a text that refers to any aspect of its actual or intended "context of interpretation" (COI). With respect to a text, a COI is everything that is conceived to embody its prospects for communication, incorporating the dynamics to actuate the text along with the media to situate the text. For instance, a RIT can refer to any of the formal roles that play a part in actualizing the meaning of a text, in particular, it can refer to the roles of the agents that collaborate to bring its sense to life, in effect, the agents that work to "animate" it. A special case of a RIT, distinguished as a "reflexively indexical text", is one that adverts to its issuer. Depending on whether its references to a COI are "explicit" or "implicit, a RIT is called an ERIT or an IRIT, respectively. Because the same RIT can make many different references, explicit and implicit, to many different aspects of a contemplated COI, the associated attributions do not lead to mutually exclusive categories but merely to overlapping qualifications, any number of which a RIT can possess in parallel, inclusively and independently.
A ''reflectively indexical text'' (RIT) is a text that refers to any aspect of its actual or intended ''context of interpretation'' (COI). With respect to a text, a COI is everything that is conceived to embody its prospects for communication, incorporating the dynamics to actuate the text along with the media to situate the text. For instance, a RIT can refer to any of the formal roles that play a part in actualizing the meaning of a text, in particular, it can refer to the roles of the agents that collaborate to bring its sense to life, in effect, the agents that work to ''animate'' it. A special case of a RIT, distinguished as a ''reflexively indexical text'', is one that adverts to its issuer. Depending on whether its references to a COI are ''explicit'' or ''implicit'', a RIT is called an ERIT or an IRIT, respectively. Because the same RIT can make many different references, explicit and implicit, to many different aspects of a contemplated COI, the associated attributions do not lead to mutually exclusive categories but merely to overlapping qualifications, any number of which a RIT can possess in parallel, inclusively and independently.
Aside from the usual arrays of messages that a text is meant to convey, a RIT has something to say about the "communication situation" where it finds itself engaged, where it happens to fall whether the possibility of such an occasion falls within its original intention or not, and where it summons agents to fall in line with its images of things and its patterns of action even if they fail to suit the occasions of their invocations. But more than that, a RIT can indicate the "pragmatic setting" where it has a call to be understood, where it is designed to evolve one or more clear meanings, and where it presses agents to render these meanings ever more effective in practice.
Aside from the usual arrays of messages that a text is meant to convey, a RIT has something to say about the ''communication situation'' where it finds itself engaged, where it happens to fall whether the possibility of such an occasion falls within its original intention or not, and where it summons agents to fall in line with its images of things and its patterns of action even if they fail to suit the occasions of their invocations. But more than that, a RIT can indicate the ''pragmatic setting'' where it has a call to be understood, where it is designed to evolve one or more clear meanings, and where it presses agents to render these meanings ever more effective in practice.
To tell the truth, they seldom fash'd him,
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
Except the moment that they crush'd him;
| colspan="2" | To tell the truth, they seldom fash'd him,
For sune as chance or fate had hush'd 'em,
|-
| colspan="2" | Except the moment that they crush'd him;
Then wi a rhyme or sang he lash'd 'em,
|-
| colspan="2" | For sune as chance or fate had hush'd 'em,
|-
| width="5%" | || Tho e'er sae short,
|-
| colspan="2" | Then wi a rhyme or sang he lash'd 'em,
|-
| width="5%" | || And thought it sport.
|-
| colspan="2" align="right" | — Robert Burns, ''Elegy on the Death of Robert Ruisseaux'', [CPW, 268]
|}
Tho he was bred to kintra wark,
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
And counted was baith wight and stark
| colspan="2" | Tho he was bred to kintra-wark,
Yet that was never Robin's mark
|-
| colspan="2" | And counted was baith wight and stark
But tell him, he was learn'd and clark,
|-
| colspan="2" | Yet that was never Robin's mark
|-
| width="5%" | || To mak a man;
|-
| colspan="2" | But tell him, he was learn'd and clark,
|-
| width="5%" | || Ye roos'd him then!
|-
| colspan="2" align="right" | — Robert Burns, ''Elegy on the Death of Robert Ruisseaux'', [CPW, 268]
|}
=====5.1.2.20. (4)=====
=====5.1.2.20. (4)=====
=====5.1.2.25. The Discursive Universe=====
=====5.1.2.25. The Discursive Universe=====
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
Wee sleekit, cow'rin, tim'rous beastie,
| colspan="2" | Wee sleekit, cow'rin, tim'rous beastie,
O, what a panic's in thy breastie!
|-
Thou need na start awa sae hasty,
| colspan="2" | O, what a panic's in thy breastie!
|-
I wad be laith to rin an chase thee,
| colspan="2" | Thou need na start awa sae hasty,
|-
| width="5%" | || Wi bickering brattle!
|-
| colspan="2" | I wad be laith to rin an chase thee,
|-
| width="5%" | || Wi murdering pattle!
|-
| colspan="2" align="right" | — Robert Burns, ''To a Mouse, On Turning Her Up in Her Nest with the Plough'', [CPW, 131]
|}
This project began with the aim of articulating an aspect of intelligent activity, namely, the inquiry into inquiry that appears to be implied in the very ability to do inquiry, to learn from the impressions of passing experience, and to reason about their indications for future experience. Inspired by the enunciation of these high aims the work proceeds in a top down fashion, though of course the rubble of previous experience is always there to suggest the orders of material to expect at the bottom. This mode of investigation, when it works, amounts to a recursive form of conceptual analysis, starting from the barest conception of its aim, seeking the conditions necessary for the possibility of its actualization, trying to determine the functional components that allow it to operate in principle, undertaking to shore up the practical supports that permit it to prosper in reality, and working to alleviate the practical obstacles that impact on its implementation in adverse ways.
This project began with the aim of articulating an aspect of intelligent activity, namely, the inquiry into inquiry that appears to be implied in the very ability to do inquiry, to learn from the impressions of passing experience, and to reason about their indications for future experience. Inspired by the enunciation of these high aims the work proceeds in a top down fashion, though of course the rubble of previous experience is always there to suggest the orders of material to expect at the bottom. This mode of investigation, when it works, amounts to a recursive form of conceptual analysis, starting from the barest conception of its aim, seeking the conditions necessary for the possibility of its actualization, trying to determine the functional components that allow it to operate in principle, undertaking to shore up the practical supports that permit it to prosper in reality, and working to alleviate the practical obstacles that impact on its implementation in adverse ways.
A particular agent does what appears to be necessary at each moment in a succession of moments in order to achieve a particular aim, and hopes that what appears to be necessary to an agent who follows a given path cannot be totally immaterial to what is actually necessary in general. The relationship between apparent necessity and actual necessity is the topic of another discussion later in this work, so I leave it till then. At this point, it only needs to be observed that an apparent necessity constitutes a real force on the agent who observes it, in other words, that it constrains the acts of the agent to whom it appears necessary. Given the freedom of intellect that comes from the reflective criticism of particular developments, a particular agent's particular inquiries are hopefully conceived in such a way as to work toward necessary truths.
A particular agent does what appears to be necessary at each moment in a succession of moments in order to achieve a particular aim, and hopes that what appears to be necessary to an agent who follows a given path cannot be totally immaterial to what is actually necessary in general. The relationship between apparent necessity and actual necessity is the topic of another discussion later in this work, so I leave it till then. At this point, it only needs to be observed that an apparent necessity constitutes a real force on the agent who observes it, in other words, that it constrains the acts of the agent to whom it appears necessary. Given the freedom of intellect that comes from the reflective criticism of particular developments, a particular agent's particular inquiries are hopefully conceived in such a way as to work toward necessary truths.
I'm truly sorry man's dominion
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
Has broken Nature's social union,
| colspan="2" | I'm truly sorry man's dominion
An justifies that ill opinion,
|-
| colspan="2" | Has broken Nature's social union,
At me, thy poor, earth born companion,
|-
| colspan="2" | An justifies that ill opinion,
|-
| width="5%" | || Which makes thee startle
|-
| colspan="2" | At me, thy poor, earth born companion,
|-
| width="5%" | || An fellow mortal!
|-
| colspan="2" align="right" | — Robert Burns, ''To a Mouse'', [CPW, 131]
|}
Given the nature of particular agency, along with the circumstance that an inquiry must be carried out by a particular agent, an inquiry is apt to proceed in ways that are far from being absolutely necessary, and it is bound to wander on paths that fail to be optimal in the use of time. But this fact — the fact that many departures from necessity are likely to affect the progress of any particular inquiry, and the fact that such contingencies, deficiencies, and facticities are almost sure to apply to one's present inquiry — although its likelihood in general is frequently suspected by a reflective agent and its certainty in theory is probably apparent to a critical agent, its import is usually not clearly "known", not in the detailed sense that its application to the moment in question is available to the agent who needs to act on it, and not in the pressing sense that its bearings on the consequences for experience are apparent to the agent who ought to be concerned about their subsequent effects. But the widespread suspicion that what appears to be necessary is not always actually and absolutely necessary, however much it is likely to verge on the truth, remains completely vague in that form, and it does not conjure up enough of an objection to deter action on what appears to be necessary, not unless a concrete alternative also appears.
Given the nature of particular agency, along with the circumstance that an inquiry must be carried out by a particular agent, an inquiry is apt to proceed in ways that are far from being absolutely necessary, and it is bound to wander on paths that fail to be optimal in the use of time. But this fact — the fact that many departures from necessity are likely to affect the progress of any particular inquiry, and the fact that such contingencies, deficiencies, and facticities are almost sure to apply to one's present inquiry — although its likelihood in general is frequently suspected by a reflective agent and its certainty in theory is probably apparent to a critical agent, its import is usually not clearly ''known'', not in the detailed sense that its application to the moment in question is available to the agent who needs to act on it, and not in the pressing sense that its bearings on the consequences for experience are apparent to the agent who ought to be concerned about their subsequent effects. But the widespread suspicion that what appears to be necessary is not always actually and absolutely necessary, however much it is likely to verge on the truth, remains completely vague in that form, and it does not conjure up enough of an objection to deter action on what appears to be necessary, not unless a concrete alternative also appears.
In this way one is able to see the form of short term independence, the apparent indifference and the seeming lack of correlation that persists in the meantime, between actual necessities and apparent necessities. The apparent necessity continues to subsist as a facticious matter, no matter how grave it appears to the agent who falls within its orbit and no matter how much it constrains the circumstantial actions of the agent to whom it in fact appears necessary. A lack of actual necessity does not prevent an apparent necessity from continuing to appear just as if it were called for. Conversely, a lack of apparent necessity in no way impedes an actual necessity from continuing to rule the total situation. With all due respect to apparent necessities, the fact of their actual facticity is perfectly capable of holding true, however much these very conditions are able to constrain the actions of the particular agents to whom they appear necessary. Moreover, the facticious nature and the virtual force that are severally attributed to an apparent necessity are just as apparently independent of each other, at least, in medias res. The facticity of an apparent necessity continues to hold in fact, however forcefully it actually succeeds in compelling the activities of an agent. The force of an apparent necessity continues to stay in effect, in spite of its actual facticity, right up until the time when it no longer appears to be necessary.
In this way one is able to see the form of short term independence, the apparent indifference and the seeming lack of correlation that persists in the meantime, between actual necessities and apparent necessities. The apparent necessity continues to subsist as a factitious matter, no matter how grave it appears to the agent who falls within its orbit and no matter how much it constrains the circumstantial actions of the agent to whom it in fact appears necessary. A lack of actual necessity does not prevent an apparent necessity from continuing to appear just as if it were called for. Conversely, a lack of apparent necessity in no way impedes an actual necessity from continuing to rule the total situation. With all due respect to apparent necessities, the fact of their actual facticity is perfectly capable of holding true, however much these very conditions are able to constrain the actions of the particular agents to whom they appear necessary. Moreover, the factitious nature and the virtual force that are severally attributed to an apparent necessity are just as apparently independent of each other, at least, in medias res. The facticity of an apparent necessity continues to hold in fact, however forcefully it actually succeeds in compelling the activities of an agent. The force of an apparent necessity continues to stay in effect, in spite of its actual facticity, right up until the time when it no longer appears to be necessary.
I doubt na, whyles, but thou may thieve;
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
What then? poor beastie, thou maun live!
| colspan="2" | I doubt na, whyles, but thou may thieve;
A daimen icker in a thrave
|-
| colspan="2" | What then? poor beastie, thou maun live!
I'll get a blessin wi the lave,
|-
| colspan="2" | A daimen icker in a thrave
|-
| width="5%" | || 'S a sma request;
What I hope that my discussion of The LOS leads to is an inkling of the type of dialogue that is capable of taking place between a formal domain and the informal context in which it lives, the world in which it is born, continues to grow, and even forces to evolve along with its development, the setting at times in which it lies dormant, remaining restively inert for years or simply sleeping through the appointed phases of the night, the fold in which it is able to be reborn, to come to a new life, and to arise afresh. The form of this dialogue is one that suggests the name for itself of a "discursion", a word that is coined to carry a wealth of various possibilities: a "dialectic recursion" or a "recursive dialogue", a "recursive analysis" (RA) or a "recursive excursion" (RE), perhaps the very form of "recursive inquiry" (RI) that admits of its decomposition into one or another "recursive undertaking" (RU) and thereby maintains the very form of its own constitution. This array of acronyms serves to stake out a ready field of discursive research and exploration, one that is open in certain directions to unformalized possibilities of experience, in a sense or in essence, to its own future.
|-
| colspan="2" | I'll get a blessin wi the lave,
But the question remains whether sign bearing agents can act, at least, as if they are able to be aware of their bearing as one component of a coherent, competent, and complete code of conduct, even a form of life. And the question continues how interpreters can acquire their faculties for the conscientious development and the deliberate elaboration of the factors that affect their own interpretive activities, in sum, how they can reflect on the factual contingencies that affect their own sign use, on the facticity of the circumstances that constrain these uses, and on the factors that determine the facility of the conditions that lead up to these uses, and then act on the results of all these reflections to make improvements in all these factors. In this way of broaching the subject of reflection, I am forced to drop it almost immediately, with the aim of starting afresh at another point and approaching the topic again, the next time from another direction.
|-
| width="5%" | || An never miss't!
Thy wee bit housie, too, in ruin!
|-
Its silly wa's the win's are strewin!
| colspan="2" align="right" | — Robert Burns, ''To a Mouse'', [CPW, 132]
An naething, now, to big a new ane,
|}
An bleak December's win's ensuin,
What I hope that my discussion of The LOS leads to is an inkling of the type of dialogue that is capable of taking place between a formal domain and the informal context in which it lives, the world in which it is born, continues to grow, and even forces to evolve along with its development, the setting at times in which it lies dormant, remaining restively inert for years or simply sleeping through the appointed phases of the night, the fold in which it is able to be reborn, to come to a new life, and to arise afresh. The form of this dialogue is one that suggests the name for itself of a ''discursion'', a word that is coined to carry a wealth of various possibilities: a ''dialectic recursion'' or a ''recursive dialogue'', a ''recursive analysis'' (RA) or a ''recursive excursion'' (RE), perhaps the very form of ''recursive inquiry'' (RI) that admits of its decomposition into one or another ''recursive undertaking'' (RU) and thereby maintains the very form of its own constitution. This array of acronyms serves to stake out a ready field of discursive research and exploration, one that is open in certain directions to unformalized possibilities of experience, in a sense or in essence, to its own future.
But the question remains whether sign-bearing agents can act, at least, as if they are able to be aware of their bearing as one component of a coherent, competent, and complete code of conduct, even a form of life. And the question continues how interpreters can acquire their faculties for the conscientious development and the deliberate elaboration of the factors that affect their own interpretive activities, in sum, how they can reflect on the factual contingencies that affect their own sign use, on the facticity of the circumstances that constrain these uses, and on the factors that determine the facility of the conditions that lead up to these uses, and then act on the results of all these reflections to make improvements in all these factors. In this way of broaching the subject of reflection, I am forced to drop it almost immediately, with the aim of starting afresh at another point and approaching the topic again, the next time from another direction.
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | Thy wee bit housie, too, in ruin!
|-
| colspan="2" | Its silly wa's the win's are strewin!
|-
| colspan="2" | An naething, now, to big a new ane,
|-
| width="5%" | || O foggage green!
|-
| colspan="2" | An bleak December's win's ensuin,
|-
| width="5%" | || Baith snell an keen!
|-
| colspan="2" align="right" | — Robert Burns, ''To a Mouse'', [CPW, 132]
|}
At times one enters a state of mind that seems so rich in possibilities, teems with so many avenues of interesting departures, and unlocks such veins of unsuspected wealth in the world of ideas that one wants to be sure to revisit it again, in order to explore the rest of the thoughts that seem likely to unfold from its locus, its nexus, and its treasury. But the only way that one can be sure to return to anything like the same state of mind is to put reminders of it all about, at every other point that one later passes through and in the vicinity of every locus the neighborhood of which one is likely to visit. Now a state that one experiences at a former time is not always possible to experience again, but it may be possible to make nearby passes or to approach arbitrarily close to the essence of the exact experience at a host of future times. Then consider a manifold of possible states of mind as forming a space that possesses its conceivable extension. And so one gets these ideas: (1) of a manifold that is suffused with the idea of a manifold that is suffused just so, (2) of a manifold that is suffused with more or less accurate ideas of itself, and (3) of a manifold that is suffused with its own idea just far enough that it can serve to maintain the orbits of the agents that pass through it in suffusion with the very idea of doing so.
At times one enters a state of mind that seems so rich in possibilities, teems with so many avenues of interesting departures, and unlocks such veins of unsuspected wealth in the world of ideas that one wants to be sure to revisit it again, in order to explore the rest of the thoughts that seem likely to unfold from its locus, its nexus, and its treasury. But the only way that one can be sure to return to anything like the same state of mind is to put reminders of it all about, at every other point that one later passes through and in the vicinity of every locus the neighborhood of which one is likely to visit. Now a state that one experiences at a former time is not always possible to experience again, but it may be possible to make nearby passes or to approach arbitrarily close to the essence of the exact experience at a host of future times. Then consider a manifold of possible states of mind as forming a space that possesses its conceivable extension. And so one gets these ideas: (1) of a manifold that is suffused with the idea of a manifold that is suffused just so, (2) of a manifold that is suffused with more or less accurate ideas of itself, and (3) of a manifold that is suffused with its own idea just far enough that it can serve to maintain the orbits of the agents that pass through it in suffusion with the very idea of doing so.
If the writer can din the reader into an awareness that the repetition of a word does not imply the repetition of a thought, that the repetition of a sign does not imply the repetition of any idea, that the repetition of a state does not mean its repetition forever, then this repetition serves its purpose, however close it verges on absurdity.
If the writer can din the reader into an awareness that the repetition of a word does not imply the repetition of a thought, that the repetition of a sign does not imply the repetition of any idea, that the repetition of a state does not mean its repetition forever, then this repetition serves its purpose, however close it verges on absurdity.
The discussion arrives at the question of signs and texts that signify, beyond their ostensible denotations and their obvious connotations, the characters of their authors, the features of their intended readers, and much more besides about the nature of their joint adventures, whatever their levels of participation in them, the processes of communication.
The discussion arrives at the question of signs and texts that signify, beyond their ostensible denotations and their obvious connotations, the characters of their authors, the features of their intended readers, and much more besides about the nature of their joint adventures, whatever their levels of participation in them, the processes of communication.
If the question of the interpreter that is signified by a sign reduces to the question of the interpretation that is signified by that sign, and if this reduces to the question of the interpretant that is signified by the sign, then one arrives at the circumstance of sign that relates to its interpretant along several paths.
If the question of the interpreter that is signified by a sign reduces to the question of the interpretation that is signified by that sign, and if this reduces to the question of the interpretant that is signified by the sign, then one arrives at the circumstance of sign that relates to its interpretant along several paths.
"effective descriptions and finite texts" (EDAFT's)
"effective descriptions and finite texts" (EDAFTs)
Thou saw the fields laid bare an waste,
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
An weary winter comin fast,
| colspan="2" | Thou saw the fields laid bare an waste,
An cozie here, beneath the blast,
|-
| colspan="2" | An weary winter comin fast,
Till crash! the cruel coulter past
|-
| colspan="2" | An cozie here, beneath the blast,
|-
| width="5%" | || Thou thought to dwell,
|-
| colspan="2" | Till crash! the cruel coulter past
|-
| width="5%" | || Out thro thy cell.
|-
| colspan="2" align="right" | — Robert Burns, ''To a Mouse'', [CPW, 132]
|}
At this juncture the discussion comes face to face with a type of text, many of whose signs are subject to different levels of interpretation. Besides denoting characters and creatures of legend and myth that form at first sight the subjects of the text, describing their features, and depicting their various adventures, they also appear to be amenable to recursive or self referent interpretations or to suggest an extra sense for themselves. Indeed, they seem designed to serve an added intention of their author, namely, to say something about the aims of the author, the attributes of the audience, whether hoped or feared, and the nature of the whole attempt to communicate.
At this juncture the discussion comes face to face with a type of text, many of whose signs are subject to different levels of interpretation. Besides denoting characters and creatures of legend and myth that form at first sight the subjects of the text, describing their features, and depicting their various adventures, they also appear to be amenable to recursive or self referent interpretations or to suggest an extra sense for themselves. Indeed, they seem designed to serve an added intention of their author, namely, to say something about the aims of the author, the attributes of the audience, whether hoped or feared, and the nature of the whole attempt to communicate.
Just to indicate the types of self reference that are being contemplated, it helps to introduce a number of informal definitions. Let any suitable set of entities {writer, sign, reader} be called a "linkage" of the sign in question, and let any suitable set of entities {writer, text, reader} be called a "linkage" of the text in question. In either of these uses, let the subset of entities {writer, reader} be called the "link" of that linkage, and let the elements of a link be called its "ends" or "termini". At present, the situations of interest are those in which all of the signs in a text, at least, those that denote anything at all, are considered to share the very same link, which they all bear in common with their text. From now on, this condition is taken for granted unless it is otherwise expressly noted. Given a sign within a text, the union of their linkages is a set of entities {writer, sign, text, reader} that is useful to call a "nocking" of the sign. Together with the specification of a sign relation that suits a particular condition of interpretation, these constructs go toward defining a "communication situation", an "interpretive setting", or a "pragmatic frame" for the sign or the text in question.
Just to indicate the types of self reference that are being contemplated, it helps to introduce a number of informal definitions. Let any suitable set of entities {writer, sign, reader} be called a ''linkage'' of the sign in question, and let any suitable set of entities {writer, text, reader} be called a ''linkage'' of the text in question. In either of these uses, let the subset of entities {writer, reader} be called the ''link'' of that linkage, and let the elements of a link be called its ''ends'' or ''termini''. At present, the situations of interest are those in which all of the signs in a text, at least, those that denote anything at all, are considered to share the very same link, which they all bear in common with their text. From now on, this condition is taken for granted unless it is otherwise expressly noted. Given a sign within a text, the union of their linkages is a set of entities {writer, sign, text, reader} that is useful to call a ''nocking'' of the sign. Together with the specification of a sign relation that suits a particular condition of interpretation, these constructs go toward defining a ''communication situation'', an ''interpretive setting'', or a ''pragmatic frame'' for the sign or the text in question.
Naturally, these constructions require a lot more information about the details of a given interpretation in a given situation in order to pin them down exactly, but this is enough to rough out their general ideas. Their main use in the current setting is simply to provide a ready way of talking about the properties of certain kinds of complex texts, as they are become subject to certain kinds of "loopy", "recursive", or "self referent" interpretations.
Naturally, these constructions require a lot more information about the details of a given interpretation in a given situation in order to pin them down exactly, but this is enough to rough out their general ideas. Their main use in the current setting is simply to provide a ready way of talking about the properties of certain kinds of complex texts, as they are become subject to certain kinds of ''loopy'', ''recursive'', or ''self-referent'' interpretations.
If a sign within a text is interpreted as making any kind of denotative reference to its own nocking, namely, to the appropriate set of entities {writer, sign, text, reader}, its elements, or its properties, then it is useful to consider this sign and this text as being self referent in the broad sense that they refer to accessory or instrumental aspects of the pragmatic frame itself, and thus can be said to have an "internal aim". This can happen whether or not a sign within a text denotes any object beyond its nocking, and thus can be said to have an "external aim".
If a sign within a text is interpreted as making any kind of denotative reference to its own nocking, namely, to the appropriate set of entities {writer, sign, text, reader}, its elements, or its properties, then it is useful to consider this sign and this text as being self referent in the broad sense that they refer to accessory or instrumental aspects of the pragmatic frame itself, and thus can be said to have an ''internal aim''. This can happen whether or not a sign within a text denotes any object beyond its nocking, and thus can be said to have an ''external aim''.
That wee bit heap o leaves an stibble,
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
Has cost thee monie a weary nibble!
| colspan="2" | That wee bit heap o leaves an stibble,
Now thou's turn'd out, for a' thy trouble,
|-
| colspan="2" | Has cost thee monie a weary nibble!
To thole the winter's sleety dribble,
|-
| colspan="2" | Now thou's turn'd out, for a' thy trouble,
|-
| width="5%" | || But house or hald,
|-
| colspan="2" | To thole the winter's sleety dribble,
|-
| width="5%" | || An cranreuch cauld!
|-
| colspan="2" align="right" | — Robert Burns, ''To a Mouse'', [CPW, 132]
|}
In the pragmatic theory of signs it is often said, “The question of the interpreter reduces to the question of the interpretant.” If this is true then it means that questions about the special interpreters that are designated to serve as the writer and the reader of a text are reducible to questions about the particular sign relations that independently and jointly define these two interpreters and their process of communication. The assumptions and the implications that are involved in this maxim are best explained by retracing the analysis that leads to this reduction, setting it out in the following stages:
In the pragmatic theory of signs it is often said, “The question of the interpreter reduces to the question of the interpretant.” If this is true then it means that questions about the special interpreters that are designated to serve as the writer and the reader of a text are reducible to questions about the particular sign relations that independently and jointly define these two interpreters and their process of communication. The assumptions and the implications that are involved in this maxim are best explained by retracing the analysis that leads to this reduction, setting it out in the following stages:
<ol style="list-style-type:decimal">
<li><p>By way of setting up the question of the interpreter, it needs to be noted that it can be asked in any one of several modalities. These are commonly referred to under a variety of different names, for instance:</p></li>
<ol style="list-style-type:lower-alpha">
<li><p>What may be: the "prospective" or the "imaginative";<br>
also: the contingent, inquisitive, interrogative, optional, provisional, speculative, or "possible on some condition".</p></li>
<li><p>What is: the "descriptive" or the "indicative";<br>
also: the actual, apparent, definite, empirical, existential, experiential, factual, phenomenal, or "evident at some time".</p></li>
<li><p>What must be: the "prescriptive" or the "imperative";<br>
also: the injunctive, intentional, normative, obligatory, optative, prerequisite, or "necessary to some purpose".</p></li>
</ol></ol>
It is important to recognize that these lists refer to modes of judgment, not the results of the judgments themselves. Accordingly, they conflate under single headings the particular issues that remain to be sorted out through the performance of the appropriate judgments, for instance, the difference between an apparent fact and a genuine fact. In general, it is a difficult question what sorts of relationships exist among these modalities and what sorts of orderings are logically or naturally the best for organizing them in the mind. Here, they are given in one of the possible types of logical ordering, based on the idea that a thing must be possible before it can become actual, and that it must become actual (at some point in time) in order to qualify as being necessary. That is, being necessary implies being actual at some time or another, and being actual implies being possible in the first place. This amounts to thinking that something must be added to a condition of possibility in order to achieve a state of actuality, and that something must be added to a state of actuality in order to acquire a status of necessity.
=====5.1.2.26. (7)=====
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | But Mousie, thou art no thy lane,
|-
| colspan="2" | In proving foresight may be vain:
|-
| colspan="2" | The best laid schemes o mice an men
|-
| width="5%" | || Gang aft agley,
|-
| colspan="2" | An lea'e us nought but grief an pain,
|-
| width="5%" | || For promis'd joy!
|-
| colspan="2" align="right" | — Robert Burns, ''To a Mouse'', [CPW, 132]
|}
All of this notwithstanding, it needs to be recognized that other types of logical arrangement can be motivated on other grounds. For example, there are good reasons to think that all of one's notions of possibility are in fact abstracted from one's actual experiences, making actuality prior in some empirically natural sense to the predicates of possibility. Since a plausible heuristic organization is all that is needed for now, this is one of those questions that can be left open until a later time.
=====5.1.2.28. (5)=====
<ol style="list-style-type:decimal" start="2">
<li><p>Taking this setting as sufficiently well understood and keeping these modalities of inquiry in mind, the analysis proper can begin. Any question about the character of the interpreter that is acting in a situation can be identified with a question about the nature of the process of interpretation that is taking place under the corresponding conditions.</p></li>
<li><p>Any question about the nature of the process of interpretation that is taking place can be identified with a question about the properties of the interpretant that follows on a given sign. This is a question about the interpretant that is associated with a sign, in one of several modalities and as contingent on the total context.</p></li>
</ol>
In summary: The question of the interpreter that is signified to act reduces to the question of the interpretation that is signified to occur, and thus to the question of the interpretant that is signified to follow the given sign under the given conditions. Expanding over the various modalities: The question of the interpreter reduces to the question of the interpretation that is determined, designed, or depicted to occur, and this in turn reduces to the question of the interpretant that is indicated, intended, or imagined to be associated with the given sign.
===5.2. Reflective Inquiry===
To follow this reduction in stages, the character of the interpreter that can be signified in some modality to be acting in a situation is identified with the nature of the process of interpretation that can be signified in that same modality to be taking place in that same situation, and this is the matter of the kind of interpretant that can be signified in that same modality to be following on the sign that is given in that same situation.
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
| colspan="2" | Still thou art blest, compar'd wi me!
|-
| colspan="2" | The present only toucheth thee:
|-
| colspan="2" | But och! I backward cast my e'e,
|-
| width="5%" | || On prospects drear!
|-
| colspan="2" | An forward, tho I canna see,
|-
| width="5%" | || I guess an fear!
|-
| colspan="2" align="right" | — Robert Burns, ''To a Mouse'', [CPW, 132]
|}
=====5.1.2.26. (7)=====
=====5.1.2.27. (6)=====
=====5.1.2.28. (5)=====
=====5.1.2.29. (4)=====
=====5.1.2.30. (3)=====
=====5.1.2.31. (2)=====
=====5.1.2.32. (1)=====
===5.2. Reflective Inquiry===
====5.2.1. Integrity and Unity of Inquiry====
====5.2.1. Integrity and Unity of Inquiry====
Are virtues the species and teachings the genus, or perhaps vice versa? Or do virtues and teachings form domains that are essentially distinct? Whether one is a species of the other or whether the two are essentially different, what are the features that apparently distinguish the one from the other?
Are virtues the species and teachings the genus, or perhaps vice versa? Or do virtues and teachings form domains that are essentially distinct? Whether one is a species of the other or whether the two are essentially different, what are the features that apparently distinguish the one from the other?
Let me begin by assuming a situation that is plausibly general enough, that some virtues can be taught, symbolized as <math>V \land T</math>, and that some cannot, symbolized as <math>V \land \lnot T</math>. I am not trying to say yet whether both kinds of cases actually occur, but merely wish to consider what follows from the likely alternatives. Then the question as to what distinguishes virtues from teachings has two senses:
Let me begin by assuming a situation that is plausibly general enough, that some virtues can be taught, symbolized as <math>V \land T\!</math>, and that some cannot, symbolized as <math>V \land \lnot T\!</math>. I am not trying to say yet whether both kinds of cases actually occur, but merely wish to consider what follows from the likely alternatives. Then the question as to what distinguishes virtues from teachings has two senses:
# Among virtues that are special cases of teachings, <math>V \land T</math>, the features that distinguish virtues from teachings are known as ''specific differences''. These qualities serve to mark out virtues for special consideration from amidst the common herd of teachings and tend to distinguish the more exemplary species of virtues from the more inclusive genus of teachings.
# Among virtues that are special cases of teachings, <math>V \land T\!</math>, the features that distinguish virtues from teachings are known as ''specific differences''. These qualities serve to mark out virtues for special consideration from amidst the common herd of teachings and tend to distinguish the more exemplary species of virtues from the more inclusive genus of teachings.
# Among virtues that transcend the realm of teachings, <math>V \land \lnot T</math>, the features that distinguish virtues from teachings are aptly called ''exclusionary exemptions''. These properties place the reach of virtues beyond the grasp of what is attainable through any order of teachings and serve to remove the orbit of virtues a discrete pace from the general run of teachings.
# Among virtues that transcend the realm of teachings, <math>V \land \lnot T\!</math>, the features that distinguish virtues from teachings are aptly called ''exclusionary exemptions''. These properties place the reach of virtues beyond the grasp of what is attainable through any order of teachings and serve to remove the orbit of virtues a discrete pace from the general run of teachings.
In either case it can always be said, though without contributing anything of substance to the understanding of the problem, that it is their very property of ''virtuosity'' or their very quality of ''excellence'' that distinguishes the virtues from the teachings, whether this character appears to do nothing but add specificity to what can be actualized through learning alone, or solely through teaching, or whether it requires a nature that transcends the level of what can be achieved through any learning or teaching at all. But this sort of answer only begs the question. The real question is whether this mark is apparent or real, and how it ought to be analyzed and construed.
In either case it can always be said, though without contributing anything of substance to the understanding of the problem, that it is their very property of ''virtuosity'' or their very quality of ''excellence'' that distinguishes the virtues from the teachings, whether this character appears to do nothing but add specificity to what can be actualized through learning alone, or solely through teaching, or whether it requires a nature that transcends the level of what can be achieved through any learning or teaching at all. But this sort of answer only begs the question. The real question is whether this mark is apparent or real, and how it ought to be analyzed and construed.
<ol style="list-style-type:decimal">
<ol style="list-style-type:decimal">
<li>Did Socrates assert or believe that virtue can be taught, or not?<br>In symbols, did he assert or believe that <math>V \Rightarrow T</math>, or not?</li>
<li>Did Socrates assert or believe that virtue can be taught, or not?<br>In symbols, did he assert or believe that <math>V \Rightarrow T\!</math>, or not?</li>
<li>Did he think that:</li>
<li>Did he think that:</li>
<ol style="list-style-type:lower-latin">
<ol style="list-style-type:lower-latin">
<li>knowledge is virtue, in the sense that <math>U \Rightarrow V</math>?</li>
<li>knowledge is virtue, in the sense that <math>U \Rightarrow V\!</math>?</li>
<li>virtue is knowledge, in the sense that <math>U \Leftarrow V</math>?</li>
<li>virtue is knowledge, in the sense that <math>U \Leftarrow V\!</math>?</li>
<li>knowledge is virtue, in the sense that <math>U \Leftrightarrow V</math>?</li></ol>
<li>knowledge is virtue, in the sense that <math>U \Leftrightarrow V\!</math>?</li></ol>
<li>Did he teach or try to teach that knowledge can be taught?<br>In symbols, did he teach or try to teach that <math>U \Rightarrow T</math>?</li></ol>
<li>Did he teach or try to teach that knowledge can be taught?<br>In symbols, did he teach or try to teach that <math>U \Rightarrow T\!</math>?</li></ol>
My current understanding of the record that is given to us in Plato's Socratic Dialogues can be summarized as follows:
My current understanding of the record that is given to us in Plato's Socratic Dialogues can be summarized as follows:
At one point Socrates seems to assume the rule that knowledge can be taught, <math>U \Rightarrow T</math>, but simply in order to pursue the case that virtue is knowledge, <math>V \Rightarrow U</math>, toward the provisional conclusion that virtue can be taught, <math>V \Rightarrow T</math>. This seems straightforward enough, if it were not for the good chance that all of this reasoning is taking place under the logical aegis of an indirect argument, a reduction to absurdity, designed to show just the opposite of what it has assumed for the sake of initiating the argument. The issue is further clouded by the circumstance that the full context of the argument most likely extends over several Dialogues, not all of which survive, and the intended order of which remains in question.
At one point Socrates seems to assume the rule that knowledge can be taught, <math>U \Rightarrow T\!</math>, but simply in order to pursue the case that virtue is knowledge, <math>V \Rightarrow U\!</math>, toward the provisional conclusion that virtue can be taught, <math>V \Rightarrow T\!</math>. This seems straightforward enough, if it were not for the good chance that all of this reasoning is taking place under the logical aegis of an indirect argument, a reduction to absurdity, designed to show just the opposite of what it has assumed for the sake of initiating the argument. The issue is further clouded by the circumstance that the full context of the argument most likely extends over several Dialogues, not all of which survive, and the intended order of which remains in question.
At other points Socrates appears to claim that knowledge and virtue are neither learned nor taught, in the strictest senses of these words, but can only be ''divined'', ''recollected'', or ''remembered'', that is, recalled, recognized, or reconstituted from the original acquaintance that a soul, being immortal, already has with the real idea or the essential form of each thing in itself. Still, this leaves open the possibility that one person can help another to guess a truth or to recall what both of them already share in knowing, as if locked away in one or another partially obscured or temporarily forgotten part of their inmost being. And it is just this freer interpretation of ''learning'' and ''teaching'', whereby one agent catalyzes not catechizes another, that a liberal imagination would yet come to call ''education''. Therefore, the real issue at stake, both with regard to the aim and as it comes down to the end of this inquiry, is not so much whether knowledge and virtue can be learned and taught as what kind of education is apt to achieve their actualization in the individual and is fit to maintain their realization in the community.
At other points Socrates appears to claim that knowledge and virtue are neither learned nor taught, in the strictest senses of these words, but can only be ''divined'', ''recollected'', or ''remembered'', that is, recalled, recognized, or reconstituted from the original acquaintance that a soul, being immortal, already has with the real idea or the essential form of each thing in itself. Still, this leaves open the possibility that one person can help another to guess a truth or to recall what both of them already share in knowing, as if locked away in one or another partially obscured or temporarily forgotten part of their inmost being. And it is just this freer interpretation of ''learning'' and ''teaching'', whereby one agent catalyzes not catechizes another, that a liberal imagination would yet come to call ''education''. Therefore, the real issue at stake, both with regard to the aim and as it comes down to the end of this inquiry, is not so much whether knowledge and virtue can be learned and taught as what kind of education is apt to achieve their actualization in the individual and is fit to maintain their realization in the community.
|}
|}
Of course, there is much that is open to interpretation about the maxim "knowledge is virtue". In particular, does the copula "is" represent a necessary implication (<math>\Rightarrow</math>), a sufficient reduction ("is only", <math>\Leftarrow</math>), or a necessary and sufficient identification (<math>\Leftrightarrow</math>)?
Of course, there is much that is open to interpretation about the maxim "knowledge is virtue". In particular, does the copula "is" represent a necessary implication (<math>\Rightarrow\!</math>), a sufficient reduction ("is only", <math>\Leftarrow\!</math>), or a necessary and sufficient identification (<math>\Leftrightarrow\!</math>)?
====5.2.9. Principle of Rational Action====
====5.2.9. Principle of Rational Action====
|}
|}
How does this ancient issue, concerning the relation of reason, to action, to the good that is overall desired or intended, transform itself through the medium of intellectual history onto the modern scene? In particular, what bearing does it have on the subjects of artificial intelligence and systems theory, and on the object of the present inquiry? As it turns out, in classical cybernetics and in systems theory, and especially in the parts of AI and cognitive science that have to do with heuristic reasoning, the transformations of the problem have tarried so long in the vicinity of a singular triviality that the original form of the question is nearly unmistakable in every modern version. The transposition of the theme <math>(\text{Reason}, \text{Action}, \text{Good})</math> into the mode of <math>(\text{Intelligence}, \text{Operation}, \text{Goal})</math> can make for an interesting variation, but it does not alter the given state of accord or discord among its elements and does nothing to turn the lock into its key.
How does this ancient issue, concerning the relation of reason, to action, to the good that is overall desired or intended, transform itself through the medium of intellectual history onto the modern scene? In particular, what bearing does it have on the subjects of artificial intelligence and systems theory, and on the object of the present inquiry? As it turns out, in classical cybernetics and in systems theory, and especially in the parts of AI and cognitive science that have to do with heuristic reasoning, the transformations of the problem have tarried so long in the vicinity of a singular triviality that the original form of the question is nearly unmistakable in every modern version. The transposition of the theme <math>(\text{Reason}, \text{Action}, \text{Good})\!</math> into the mode of <math>(\text{Intelligence}, \text{Operation}, \text{Goal})\!</math> can make for an interesting variation, but it does not alter the given state of accord or discord among its elements and does nothing to turn the lock into its key.
How do these questions bear on the present inquiry? Suppose that one is trying to understand something like an agency of life, a capacity for inquiry, a faculty of intelligence, or a power of learning and reasoning. For starters, ''something like'' is a little vague, so let me suggest calling the target class of agencies, capacities, faculties, or powers that most hold my interest here by the name of ''virtues'', thereby invoking as an offstage direction the classical concepts of ''anima'' and ''arete'' that seem to prompt them all. What all of these virtues have in common is their appearance, whether it strikes one on first impression or only develops in one's appreciation through a continuing acquaintance over time, of transcending or rising infinitely far beyond all of one's attempts to construct them from or reduce them to the sorts of instrumentalities that are much more basic, familiar, mundane, ordinary, simpler, in short, the kinds of abilities that one already understands well enough and is granted to have well under one's command or control. For convenience, I dub this class of abilities, that a particular agent has a thorough understanding of and a complete competency in, as the ''resources'' of that agent.
How do these questions bear on the present inquiry? Suppose that one is trying to understand something like an agency of life, a capacity for inquiry, a faculty of intelligence, or a power of learning and reasoning. For starters, ''something like'' is a little vague, so let me suggest calling the target class of agencies, capacities, faculties, or powers that most hold my interest here by the name of ''virtues'', thereby invoking as an offstage direction the classical concepts of ''anima'' and ''arete'' that seem to prompt them all. What all of these virtues have in common is their appearance, whether it strikes one on first impression or only develops in one's appreciation through a continuing acquaintance over time, of transcending or rising infinitely far beyond all of one's attempts to construct them from or reduce them to the sorts of instrumentalities that are much more basic, familiar, mundane, ordinary, simpler, in short, the kinds of abilities that one already understands well enough and is granted to have well under one's command or control. For convenience, I dub this class of abilities, that a particular agent has a thorough understanding of and a complete competency in, as the ''resources'' of that agent.
====5.2.11. Reflective Interpretive Frameworks====
====5.2.11. Reflective Interpretive Frameworks====
<pre>
<br>
No, Cassius, for the eye sees not itself
{| align="center" border="0" cellpadding="0" cellspacing="0" style="text-align:left; width:90%"
But by reflection, by some other things.
| colspan="2" | Tell me, good Brutus, can you see your face?
|-
'Tis just;
| colspan="2" |
And it is very much lamented, Brutus,
|-
That you have no such mirrors as will turn
| colspan="2" | No, Cassius, for the eye sees not itself
Your hidden worthiness into your eye,
|-
That you might see your shadow. ...
| colspan="2" | But by reflection, by some other things.
|-
Into what dangers would you lead me, Cassius,
| colspan="2" |
That you would have me seek into myself
|-
For that which is not in me?
| colspan="2" | 'Tis just;
|-
| colspan="2" | And it is very much lamented, Brutus,
|-
| colspan="2" | That you have no such mirrors as will turn
|-
| colspan="2" | Your hidden worthiness into your eye,
|-
| colspan="2" | That you might see your shadow. …
|-
| colspan="2" |
|-
| colspan="2" | Into what dangers would you lead me, Cassius,
|-
| colspan="2" | That you would have me seek into myself
|-
| colspan="2" | For that which is not in me?
|-
| colspan="2" |
|-
| colspan="2" | Therefor, good Brutus, be prepared to hear.
|-
| colspan="2" | And since you know you cannot see yourself
|-
| colspan="2" | So well as by reflection, I, your glass,
|-
| colspan="2" | Will modestly discover to yourself
|-
| colspan="2" | That of yourself which you yet know not of.
|-
| width="50%" |
| ''Julius Caesar'', 1.2.53–72
|}
<br>
The rest of this Section ???, continuing the discussion of formalization in terms of concrete examples and extending over the next 50 ??? Subsections ???, details the construction of a "reflective interpretive framework" (RIF). This is a special type of sign theoretic setting, illustrated in the present case as based on the sign relations A and B, but intended more generally to constitute a fully developed environment of objective and interpretive resources, in the likes of which an "inquiry into inquiry" can reasonably be expected to find its home.
The rest of this Section (?), continuing the discussion of formalization in terms of concrete examples and extending over the next 50 (?) Subsections (?), details the construction of a ''reflective interpretive framework'' (RIF). This is a special type of sign theoretic setting, illustrated in the present case as based on the sign relations A and B, but intended more generally to constitute a fully developed environment of objective and interpretive resources, in the likes of which an ''inquiry into inquiry'' can reasonably be expected to find its home.
An inquiry into inquiry necessarily involves itself in various forms of self application and self reference. Even when the "inquiree" and the "inquirer", the operand inquiry and the operant inquiry, are conceived to be separately instituted and disjointly embodied in material activity, they still must share a common form and enjoy a collection of definitive characteristics, or else the use of a common term for both sides of the application is equivocal and hardly justified. But this depiction of an inquiry into inquiry, if it is imagined to be valid, raises a couple of difficult issues, of how a form of activity like inquiry can be said to apply and to refer to itself, and of how a general form of activity can be materialized in concretely different processes, that is, represented in the parametrically diverse instantiations of its own generic principles. Before these problems can be clarified to any degree it is necessary to develop a suitable framework of discussion, along with a requisite array of conceptual tools. This is where the construction of a RIF comes in.
An inquiry into inquiry necessarily involves itself in various forms of self application and self reference. Even when the ''inquiree'' and the ''inquirer'', the operand inquiry and the operant inquiry, are conceived to be separately instituted and disjointly embodied in material activity, they still must share a common form and enjoy a collection of definitive characteristics, or else the use of a common term for both sides of the application is equivocal and hardly justified. But this depiction of an inquiry into inquiry, if it is imagined to be valid, raises a couple of difficult issues, of how a form of activity like inquiry can be said to apply and to refer to itself, and of how a general form of activity can be materialized in concretely different processes, that is, represented in the parametrically diverse instantiations of its own generic principles. Before these problems can be clarified to any degree it is necessary to develop a suitable framework of discussion, along with a requisite array of conceptual tools. This is where the construction of a RIF comes in.
{| align="center" cellpadding="0" cellspacing="0" width="90%"
| <p>And now the investigation itself is under investigation.</p>
|-
| align="right" | — President Clinton, August 17, 1998
|}
The task of building a RIF is here approached on two fronts, structural and functional. The structural approach looks to the formal constitution of the framework itself, with an eye to the static logical relationships that potentially exist among its objective and its interpretive elements, that is, the abstract relations that can be permitted through the medium of its use to be brought to light, to be recognized on future occasions, and to be signified to a community of observant and interpretive agents. The functional approach looks to the dynamic and effective conduct of a typical reflective interpreter, with an eye to the medium of operational resources that support its activity, and it seeks to discover amid this defrayal the workings of the act of reflection that makes it all possible.
The task of building a RIF is here approached on two fronts, structural and functional. The structural approach looks to the formal constitution of the framework itself, with an eye to the static logical relationships that potentially exist among its objective and its interpretive elements, that is, the abstract relations that can be permitted through the medium of its use to be brought to light, to be recognized on future occasions, and to be signified to a community of observant and interpretive agents. The functional approach looks to the dynamic and effective conduct of a typical reflective interpreter, with an eye to the medium of operational resources that support its activity, and it seeks to discover amid this defrayal the workings of the act of reflection that makes it all possible.
I was, at that time, in Germany, whither the wars, which have not yet finished there, had called me, and as I was returning from the coronation of the Emperor to join the army, the onset of winter held me up in quarters in which, finding no company to distract me, and having, fortunately, no cares or passions to disturb me, I spent the whole day shut up in a room heated by an enclosed stove, where I had complete leisure to meditate on my own thoughts.
{| align="center" cellpadding="0" cellspacing="0" width="90%"
|
<p>I was, at that time, in Germany, whither the wars, which have not yet finished there, had called me, and as I was returning from the coronation of the Emperor to join the army, the onset of winter held me up in quarters in which, finding no company to distract me, and having, fortunately, no cares or passions to disturb me, I spent the whole day shut up in a room heated by an enclosed stove, where I had complete leisure to meditate on my own thoughts.</p>
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| align="right" | — Rene Descartes, ''Discourse on Method'', [Des1, 35]
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=====5.2.11.1. Principals vs. Principals=====
=====5.2.11.1. Principals vs. Principals=====
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So it is that these old cities which, originally only villages, have become, through the passage of time, great towns, are usually so badly proportioned in comparison with those orderly towns which an engineer designs at will on some plain that, although the buildings, taken separately, often display as much art as those of the planned towns or even more, nevertheless, seeing how they are placed, with a big one here, a small one there, and how they cause the streets to bend and to be at different levels, one has the impression that they are more the product of chance than that of a human will operating according to reason.
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<p>So it is that these old cities which, originally only villages, have become, through the passage of time, great towns, are usually so badly proportioned in comparison with those orderly towns which an engineer designs at will on some plain that, although the buildings, taken separately, often display as much art as those of the planned towns or even more, nevertheless, seeing how they are placed, with a big one here, a small one there, and how they cause the streets to bend and to be at different levels, one has the impression that they are more the product of chance than that of a human will operating according to reason.</p>
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| align="right" | — Rene Descartes, ''Discourse on Method'', [Des1, 35]
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Once this much is said and done, one comes to a realization of the fact that a principle, as a point of logic, is not always a principal in the orders of causes, prizes, rights, or times. Even if the word "principly", coined to mean "in principle", is well formed in principle to serve that purpose, even if it is quickly struck from a readily available syntactic material, strikes true to the types of an adjective or an adverb, easily fills in for a much more cumbersome prepositional phrase, and fills out a formerly empty slot in the language, and even if tenders itself in print as the gentler equal to impress its point, still, it clangs in speech to the point that it is likely to be irrevocably confused with the sound of the already established word "principally", and so, by dint of a certain "phonological exclusion principle" (PEP), the expression of its intention in this way is subject to being excised from the language, bowing out in preference to the accidental antecedents that it arrives to find already prevailing on the scene. In sum, an essentially abstract idea can be inhibited from a particular manner of elaboration on what are purely contingent, developmental, evolutionary, and historical grounds.
Once this much is said and done, one comes to a realization of the fact that a principle, as a point of logic, is not always a principal in the orders of causes, prizes, rights, or times. Even if the word ''principly'', coined to mean ''in principle'', is well formed in principle to serve that purpose, even if it is quickly struck from a readily available syntactic material, strikes true to the types of an adjective or an adverb, easily fills in for a much more cumbersome prepositional phrase, and fills out a formerly empty slot in the language, and even if tenders itself in print as the gentler equal to impress its point, still, it clangs in speech to the point that it is likely to be irrevocably confused with the sound of the already established word ''principally'', and so, by dint of a certain ''phonological exclusion principle'', the expression of its intention in this way is subject to being excised from the language, bowing out in preference to the accidental antecedents that it arrives to find already prevailing on the scene. In sum, an essentially abstract idea can be inhibited from a particular manner of elaboration on what are purely contingent, developmental, evolutionary, and historical grounds.
Here is a problem that vies with the question of the chicken or the egg, asking which of these firsts comes first: the principal or the principle. Without being able to say which first comes to mind, it may be possible to tell, in point of time, which first entered the lists of language or came to express itself in speech, at least, on the assumption that the PEP has import for this case, and that the first item to enter the lexicon blocks the full inflection of the later entry.
Here is a problem that vies with the question of the chicken or the egg, asking which of these firsts comes first: the principal or the principle. Without being able to say which first comes to mind, it may be possible to tell, in point of time, which first entered the lists of language or came to express itself in speech, at least, on the assumption that the PEP has import for this case, and that the first item to enter the lexicon blocks the full inflection of the later entry.
From this case of a broken analogy, this example of a missing point of symmetry, or this paradigm of a defective paradigm, in short, from the mere fact that the noun "principle" fails in its distribution of uses to fill out the available patterns and to become as fully inflected as the noun "principal", it is possible to draw a surprising number of lessons:
From this case of a broken analogy, this example of a missing point of symmetry, or this paradigm of a defective paradigm, in short, from the mere fact that the noun ''principle'' fails in its distribution of uses to fill out the available patterns and to become as fully inflected as the noun ''principal'', it is possible to draw a surprising number of lessons:
# It happens that accidents of personal, cultural, or evolutionary history can abrade the facility with which one reflects on essences. Accidental properties of one's linguistic and mental constitution can supply the array of means that one has available to approach the most extreme questions, those concerned with original and ultimate meanings. Accidents of history operate to shape and polish, to impair and repair the faculties of reflection, the instruments of language and mind that one uses to reflect on questions of abstract, eternal, formal, ideal, or invariant form, to contemplate general schemes of categories for objects, and to consider matters of fundamental principle. For good or ill, an accumulation of accidents impacts on the character of one's reflection, innately marking or marring the equanimity with which one thinks about the arrays of otherwise indifferent and equally likely alternatives.
# A phonological exclusion principle need not apply in syntactic cases or pragmatic situations where interpreters are reliably discerning enough to adequately resolve the textual, verbal, and vocal ambiguities. For instance, it would not matter that the physical signals represented by the words ''principally'' and ''principly'' fail to be discriminated by the ear of the interpreter if the mind of the interpreter, informed by the practical and the syntactic contexts of their sundry utterances, and guided by the innate sense of what makes sense in each situation, could be relied on to chose the proper interpretation.
# This example of a broken analogy or a defective paradigm, and the problem of converting it to instructive uses and positive advantages, brings up the related but more general puzzle that is commonly known as the ''problem of learning from negative examples''. By this is meant, not just being informed by defective or imperfect examples, or learning from examples that are associated with negatively valued consequences, but inducing the laws that apply to a situation from the events that never occur within it.
Returning to the topic of reflection, as approached on the "structural" and "functional" fronts, ...
Returning to the topic of reflection, as approached on the ''structural'' and ''functional'' fronts …
Progress on the "functional" or the "operational" front can be made by taking up once again the informal calculus of applicational operators that I used at the beginning of the current chapter to annotate the analysis of inquiry, by taking further steps toward formalizing this calculus, and by representing the operation of reflection within it. Progress on the structural front can be made by ...
Progress on the ''functional'' or the ''operational'' front can be made by taking up once again the informal calculus of applicational operators that I used at the beginning of the current chapter to annotate the analysis of inquiry, by taking further steps toward formalizing this calculus, and by representing the operation of reflection within it. Progress on the structural front can be made by ...
A RIF is intended to formally allow for a specific area of reflection on experience. I want to use reflection as a bona fide form of observation, in the dual sense that one reflects on happenings in the outside world and again on a range of experiences in one's inner world. Moreover, I want to treat reflection as a genuinely empirical form of observation, perfectly capable of making mistakes in the data and the descriptions it provides, but provisionally able to supply the materials that are needed for building up true theories about the reflected domains of experience.
A RIF is intended to formally allow for a specific area of reflection on experience. I want to use reflection as a bona fide form of observation, in the dual sense that one reflects on happenings in the outside world and again on a range of experiences in one's inner world. Moreover, I want to treat reflection as a genuinely empirical form of observation, perfectly capable of making mistakes in the data and the descriptions it provides, but provisionally able to supply the materials that are needed for building up true theories about the reflected domains of experience.
In order to constitute a RIF as an empirical framework, in other words, as a formal apparatus that can serve to facilitate experiential inquiry, it is necessary to rehabilitate the operation of reflection as a genuine form of experiential observation, one that is capable of generating contingent, defeasible, falsifiable, or hypothetical descriptions of what it reflects on, where the field of view for reflection encompasses everything it is given or gains a power to reflect on, including activities in the external world, affective impressions and motivational impulses that arise in the realm of feeling and drives, and the more or less controlled conduct of reflection itself. To do this, it is necessary, in turn, to achieve a resolution of and to reach an understanding on two points:
In order to constitute a RIF as an empirical framework, in other words, as a formal apparatus that can serve to facilitate experiential inquiry, it is necessary to rehabilitate the operation of reflection as a genuine form of experiential observation, one that is capable of generating contingent, defeasible, falsifiable, or hypothetical descriptions of what it reflects on, where the field of view for reflection encompasses everything it is given or gains a power to reflect on, including activities in the external world, affective impressions and motivational impulses that arise in the realm of feeling and drives, and the more or less controlled conduct of reflection itself. To do this, it is necessary, in turn, to achieve a resolution of and to reach an understanding on two points:
# First, one needs to recognize that ''empirical'' necessarily implies ''experiential'' and ''experimental'', but that none of these terms is limited of necessity to implying ''external'', at least, not in the sense of an externality that is exclusive of all felt experience.
# Finally, one needs to separate the practice of reflection from the herd of ''incorrigibles'' it is liable to be confounded with on the modern scene, to sort it out from the "bad company" of its former associates and all their pretensions to (a) immediacy of inference, (b) impeccability of insight, (c) infallibility of introspection, (d) unimpeachability of intuition, and (e) incognizability of reality.
If the reader reflects that I seem to be trying to make reflection out to be a curious sort of hybrid creation, akin on the one side to primitive forms of observation, but akin on the other side to sophisticated forms of contemplation, and that this makes it the main constitutional problem of its temperament to control its own hybris in such a way that it can keep itself from weening over to excessive degrees in either direction, then the reader reflects correctly. If reflection keeps to this middle course, then, whatever its natural disposition or original inclination might be, it can still enjoy the effective qualities and formal virtues that belong to both realms of experience, mediating between the real and the rational, and joining the sensory to the intellectual.
If the reader reflects that I seem to be trying to make reflection out to be a curious sort of hybrid creation, akin on the one side to primitive forms of observation, but akin on the other side to sophisticated forms of contemplation, and that this makes it the main constitutional problem of its temperament to control its own hubris in such a way that it can keep itself from weening over to excessive degrees in either direction, then the reader reflects correctly. If reflection keeps to this middle course, then, whatever its natural disposition or original inclination might be, it can still enjoy the effective qualities and formal virtues that belong to both realms of experience, mediating between the real and the rational, and joining the sensory to the intellectual.
A historical perspective also shows that the task of arrogating modest powers to reflection without reaching over into insupportable realms of imagination is apparently a difficult balancing act for the human mind to maintain. For reasons that will soon become obvious, I find it useful to describe this as the "cartesian polarity" problem.
A historical perspective also shows that the task of arrogating modest powers to reflection without reaching over into insupportable realms of imagination is apparently a difficult balancing act for the human mind to maintain. For reasons that will soon become obvious, I find it useful to describe this as the ''cartesian polarity'' problem.
Whereas other operations of mental life have to be forced to the point of examining their own conduct, even tricked into it, it is almost the reflex of reflection to reflect once again on its own action, at least, to reflect on whatever array of intermediate insights or whatever sample of partial results it finds itself able to pin down in memorable signs and texts. And yet, aside from the statement of this vacuity, it seems pointless for reflection to personify itself, often to the point of impersonating itself, and difficult for it to find anything interesting to say, without bringing in something else, some other matter to reflect on. Thus, I do not want to fall into the narcissistic trap of thinking that internal reflection, or introspection, is the only source of knowledge that is certain and true, but neither do I want to vanish in the echoistic dissipation of clinging to external reflection, or reflectances, as the only source of inspiration.
Whereas other operations of mental life have to be forced to the point of examining their own conduct, even tricked into it, it is almost the reflex of reflection to reflect once again on its own action, at least, to reflect on whatever array of intermediate insights or whatever sample of partial results it finds itself able to pin down in memorable signs and texts. And yet, aside from the statement of this vacuity, it seems pointless for reflection to personify itself, often to the point of impersonating itself, and difficult for it to find anything interesting to say, without bringing in something else, some other matter to reflect on. Thus, I do not want to fall into the narcissistic trap of thinking that internal reflection, or introspection, is the only source of knowledge that is certain and true, but neither do I want to vanish in the echoistic dissipation of clinging to external reflection, or reflectances, as the only source of inspiration.
=====5.2.11.2. The Initial Description of Inquiry=====
=====5.2.11.2. The Initial Description of Inquiry=====
In order to form a more cogent sense of the direction I must take from this point on, I need to make a concise review of the questions that have been raised and the assumptions that have been laid down so far. I can begin this review with the question of the '''''Criterion''''', and after developing a critical theme that connects it with its antecedent topics, work backward to the questions of the '''''Problem''''' and the '''''Method'''''.
In order to form a more cogent sense of the direction I must take from this point on, I need to make a concise review of the questions that have been raised and the assumptions that have been laid down so far. I can begin this review with the question of the "criterion", and after developing a critical theme that connects it with its antecedent topics, work backward to the questions of the "problem" and the "method".
Under the question of a "criterion" (S 1.1.3) a critical assumption was taken to serve as a guiding hypothesis for this inquiry and to provide a tentative model for its conduct:
Under the question of a Criterion (§ 1.1.3) a critical assumption was taken to serve as a guiding hypothesis for this inquiry and to provide a tentative model for its conduct:
According to my current understanding of inquiry, and the tentative model of inquiry that will guide this project, the criterion of an inquiry's competence is how well it succeeds in reducing the uncertainty of its agent about its object. (S 1.1.3, page 4).
According to my current understanding of inquiry, and the tentative model of inquiry that will guide this project, the criterion of an inquiry's competence is how well it succeeds in reducing the uncertainty of its agent about its object. (§ 1.1.3).
It is time to examine this hypothesis a bit more carefully, to review the bearing it has on inquiry and the role it has in an inquiry into inquiry. In this regard, the guiding model elected here needs to be interrogated under the twin lights of how it can apply to inquiry in general while it continues to ply itself fully subject to a specific inquiry into inquiry. In its most general implications, the question is: How can any principle profess to master all inquiry whatsoever, and how can the use of such a rule pretend to serve any inquiry at all, at least, so long it waits on the outcome of its own examination and has to operate under a cloud of suspicion that is pursuant to a particular inquiry into inquiry?
It is time to examine this hypothesis a bit more carefully, to review the bearing it has on inquiry and the role it has in an inquiry into inquiry. In this regard, the guiding model elected here needs to be interrogated under the twin lights of how it can apply to inquiry in general while it continues to ply itself fully subject to a specific inquiry into inquiry. In its most general implications, the question is: How can any principle profess to master all inquiry whatsoever, and how can the use of such a rule pretend to serve any inquiry at all, at least, so long it waits on the outcome of its own examination and has to operate under a cloud of suspicion that is pursuant to a particular inquiry into inquiry?
To me it seems "intuitively certain" (IC) that the purpose of inquiry is to reduce the uncertainty of its agent about its object, and that it does this by increasing the clarity of the signs that the agent possesses with respect to the object. For future reference, let me detach the predicate of this observation and refer to it as the "initial description" (ID) of inquiry.
To me it seems ''intuitively certain'' (IC) that the purpose of inquiry is to reduce the uncertainty of its agent about its object, and that it does this by increasing the clarity of the signs that the agent possesses with respect to the object. For future reference, let me detach the predicate of this observation and refer to it as the ''initial description'' (ID) of inquiry.
ID: The purpose of an inquiry is to reduce the uncertainty of its agent about its object, and it does this by increasing the clarity of the signs that the agent possesses with respect to the object.
'''ID.''' The purpose of an inquiry is to reduce the uncertainty of its agent about its object, and it does this by increasing the clarity of the signs that the agent possesses with respect to the object.
This ID depicts inquiry in general in terms of its object in general and it allows for more specific inquiries to have more particular objects. And yet, as if by a manner of reflective reflex, no sooner do I express this insight in the form of an "intuitively certain hypothesis" (ICH) than I begin to suspect it, to have doubts about the certainty of its truth, and to worry about the clarity of its expression.
This ID depicts inquiry in general in terms of its object in general and it allows for more specific inquiries to have more particular objects. And yet, as if by a manner of reflective reflex, no sooner do I express this insight in the form of an ''intuitively certain hypothesis'' (ICH) than I begin to suspect it, to have doubts about the certainty of its truth, and to worry about the clarity of its expression.
On reflection, the ID of inquiry, for all the quality of an ICH that once affected it, at least enough to make me identify with it, starts to find itself in another light, much less IC and much more H, and it begins to appear to me as a nearly indifferent object of contemplation, something else to think about, nothing more. The text of its expression, that I took the time to weave its carefully picked signs into, presents itself to my view as an alien object, composed of almost senseless characters, as if designed to ensnare my mind in a medium of false images rather than to liberate my thinking by means of a clear and distinct truth.
On reflection, the ID of inquiry, for all the quality of an ICH that once affected it, at least enough to make me identify with it, starts to find itself in another light, much less IC and much more H, and it begins to appear to me as a nearly indifferent object of contemplation, something else to think about, nothing more. The text of its expression, that I took the time to weave its carefully picked signs into, presents itself to my view as an alien object, composed of almost senseless characters, as if designed to ensnare my mind in a medium of false images rather than to liberate my thinking by means of a clear and distinct truth.
This array of doubts, suspicions, and worries is not so much due to the ID of inquiry itself, that I continue to maintain my sympathies with and to preserve my own recognizance of, as it is on account of and for the sake of the other notions that it raises, whose certainty and clarity it cannot rise above, or so it seems. In other words, whatever "certainty" and "clarity" may be, it seems sure that the certainty and the clarity of the ID of inquiry cannot be greater than the certainty and the clarity, respectively, of the notions of agency, certainty, clarity, objectivity, and significance that the ID of inquiry invokes, involves, and implicates. But how do I know this, and, indeed, do I really know this?
This array of doubts, suspicions, and worries is not so much due to the ID of inquiry itself, that I continue to maintain my sympathies with and to preserve my own recognizance of, as it is on account of and for the sake of the other notions that it raises, whose certainty and clarity it cannot rise above, or so it seems. In other words, whatever ''certainty'' and ''clarity'' may be, it seems sure that the certainty and the clarity of the ID of inquiry cannot be greater than the certainty and the clarity, respectively, of the notions of agency, certainty, clarity, objectivity, and significance that the ID of inquiry invokes, involves, and implicates. But how do I know this, and, indeed, do I really know this?
But, like a man who walks alone, and in the dark, I resolved to go so slowly, and to use such caution in all things that, even if I went forward only very little, I would at least avoid falling.
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<p>But, like a man who walks alone, and in the dark, I resolved to go so slowly, and to use such caution in all things that, even if I went forward only very little, I would at least avoid falling.</p>
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| align="right" | — Rene Descartes, ''Discourse on Method'', [Des1, 39]
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If the ID of inquiry marks a step that I plan to take in an inquiry into inquiry, then I need to raise the following questions about it. How can I tell if it is a step in the right direction? Expressed in other ways: How can I test the utility of this step with the information that I find available to me at my present state of knowledge, or within reach of it? How can I come to know, short of rashly staking my whole enterprise on its trustworthiness, whether it establishes a foothold on a viable path, not just marking a point on a feasible path of investigation, but lying a discrete and reasonable distance in the direction of its goal, and thus being capable of leading toward a state that is "ultimately certain" (UC) as to what it represents about inquiry?
If the ID of inquiry marks a step that I plan to take in an inquiry into inquiry, then I need to raise the following questions about it. How can I tell if it is a step in the right direction? Expressed in other ways: How can I test the utility of this step with the information that I find available to me at my present state of knowledge, or within reach of it? How can I come to know, short of rashly staking my whole enterprise on its trustworthiness, whether it establishes a foothold on a viable path, not just marking a point on a feasible path of investigation, but lying a discrete and reasonable distance in the direction of its goal, and thus being capable of leading toward a state that is ''ultimately certain'' (UC) as to what it represents about inquiry?
If all the themes are aptly initialized, then the end of inquiry is met when a condition of equanimity, balance, or harmony is achieved between the facts IC and the facts UC, in other words, when everyone sees the point that each one is trying to make and when everyone understands the line that each one is meant to get across.
If all the themes are aptly initialized, then the end of inquiry is met when a condition of equanimity, balance, or harmony is achieved between the facts IC and the facts UC, in other words, when everyone sees the point that each one is trying to make and when everyone understands the line that each one is meant to get across.
If the simple entertainment of a simple hypothesis is enough to change the course of an inquiry in an irremediable, irreversible, or irrevocable way, and in a manner that makes a pragmatically significant difference to the outcome, then all hope is lost of discovering a robust method or developing a self corrective procedure for inquiry, and thus of giving to inquiry an adaptive and evolving form. This means that inquiry is not a feasible endeavor for agents of a fallible sort unless they are capable of taking up a flexible attitude and maintaining the following sorts of stance: (1) To contemplate a diversity of hypotheses with a reasonable measure of immunity against their actual effects, that is, while remaining moderately well insulated from the consequences these hypotheses would have in execution; (2) To entertain a wildly incorrect but still corrigible guess with a respectable level of impunity, that is, while preserving the overall ideals of a reparable harmony in their own systems of belief and while operating without loss of ultimate geniality in the community of inquiry at large. Still, it is best not to play on forms of dissonance that do not come tempered with at least an idea of how to atone for themselves in time.
If the simple entertainment of a simple hypothesis is enough to change the course of an inquiry in an irremediable, irreversible, or irrevocable way, and in a manner that makes a pragmatically significant difference to the outcome, then all hope is lost of discovering a robust method or developing a self corrective procedure for inquiry, and thus of giving to inquiry an adaptive and evolving form. This means that inquiry is not a feasible endeavor for agents of a fallible sort unless they are capable of taking up a flexible attitude and maintaining the following sorts of stance:
# To contemplate a diversity of hypotheses with a reasonable measure of immunity against their actual effects, that is, while remaining moderately well insulated from the consequences these hypotheses would have in execution.
# To entertain a wildly incorrect but still corrigible guess with a respectable level of impunity, that is, while preserving the overall ideals of a reparable harmony in their own systems of belief and while operating without loss of ultimate geniality in the community of inquiry at large. Still, it is best not to play on forms of dissonance that do not come tempered with at least an idea of how to atone for themselves in time.
Imagine that an agent begins in a state of almost complete ignorance or near total uncertainty about inquiry, such as might be associated with the mere possession of the name "inquiry" or reflected by an encounter with another type of nominal pointer to the topic of inquiry in general. Against this background of "original sinescience" and relative to this condition of initial innocence, the ID of inquiry does indeed appear to give an impression of saying something more definite about inquiry, and thus it does seem to increase the agent's knowledge in some measure, whether in certainty, clarity, or distinctness I cannot say for sure at this point. But how can an agent tell if this appearance is real?
Imagine that an agent begins in a state of almost complete ignorance or near total uncertainty about inquiry, such as might be associated with the mere possession of the name ''inquiry'' or reflected by an encounter with another type of nominal pointer to the topic of inquiry in general. Against this background of ''original sinescience'' and relative to this condition of initial innocence, the ID of inquiry does indeed appear to give an impression of saying something more definite about inquiry, and thus it does seem to increase the agent's knowledge in some measure, whether in certainty, clarity, or distinctness I cannot say for sure at this point. But how can an agent tell if this appearance is real?
How can I address the array of questions "how?" that I raise as I reflect on the ID of inquiry? The only response I can think of that answers the arraignment of all these challenges is simply to continue with the inquiry itself. The ID of inquiry has something to say about the "how" of inquiry, expressing its suggestions in terms of the phrase that concerns itself with "increasing the clarity of the signs that the agent possesses with respect to the object". But the implicit charge of this ID, to "clarify the signs that the agent has of the object", is not entirely unambiguous in and of itself, and until it can be rendered free of ambivalence in its own right it is difficult to entertain an effective action on its behalf. On further reflection, it becomes apparent that the charge to clarify signs contains the potential of being interpreted in at least two ways, and thus, for the purposes of effective action, requires a further clarification. Consequently, toward the end of action on the charge yet another inquiry and yet another clarification, this time concerning the character of the charge itself, becomes due.
How can I address the array of questions "How?" that I raise as I reflect on the ID of inquiry? The only response I can think of that answers the arraignment of all these challenges is simply to continue with the inquiry itself. The ID of inquiry has something to say about the ''how'' of inquiry, expressing its suggestions in terms of the phrase that concerns itself with "increasing the clarity of the signs that the agent possesses with respect to the object". But the implicit charge of this ID, to "clarify the signs that the agent has of the object", is not entirely unambiguous in and of itself, and until it can be rendered free of ambivalence in its own right it is difficult to entertain an effective action on its behalf. On further reflection, it becomes apparent that the charge to clarify signs contains the potential of being interpreted in at least two ways, and thus, for the purposes of effective action, requires a further clarification. Consequently, toward the end of action on the charge yet another inquiry and yet another clarification, this time concerning the character of the charge itself, becomes due.
In accord with this analysis of inquiry as a process of clarification, and of clarification in turn as a process that operates on sign relations, the next few paragraphs consider various interpretations of the clarification task, initiating the process of comparing and contrasting their elements, and ultimately seeking to classify their variety. This discussion notices one general feature that all types of clarification process appear to have in common and it discerns another general feature that splits the genus of clarification processes into a couple of broad moieties or species.
In accord with this analysis of inquiry as a process of clarification, and of clarification in turn as a process that operates on sign relations, the next few paragraphs consider various interpretations of the clarification task, initiating the process of comparing and contrasting their elements, and ultimately seeking to classify their variety. This discussion notices one general feature that all types of clarification process appear to have in common and it discerns another general feature that splits the genus of clarification processes into a couple of broad moieties or species.
Inquiry, considered as a process of clarification, is the chief way that a sign relation can grow and develop in service to the life of its agent. If not assured as the principal way, at least, while the jurisdictions of automatic adaptation, oblique evolution, and random ramification are yet uncharted and unassessed, it is probably still the most principled way that sign relations have of adapting and evolving to meet the objectives of interpretive agents in their given environments of needs and objects. By way of a general comparison, then, all reasonable interpretations of the clarification task involve the augmentation of sign relations by the addition of "elementary sign relations", that is, ordered triples of the form <o, s, i>.
Inquiry, considered as a process of clarification, is the chief way that a sign relation can grow and develop in service to the life of its agent. If not assured as the principal way, at least, while the jurisdictions of automatic adaptation, oblique evolution, and random ramification are yet uncharted and unassessed, it is probably still the most principled way that sign relations have of adapting and evolving to meet the objectives of interpretive agents in their given environments of needs and objects. By way of a general comparison, then, all reasonable interpretations of the clarification task involve the augmentation of sign relations by the addition of ''elementary sign relations'', that is, ordered triples of the form <math>(o, s, i).\!</math>
Treating the process of clarification as one that affects the growth and development of a sign relation, even if constrained to the medium of its syntactic domain, there is, of course, an overwhelming diversity of ways that one can imagine an arbitrary sign relation as growing through time. No matter whether it restrains its labors to the monotonic annexation of ever more triples <o, s, i> to the masses of data already accumulated or whether it liberates the full deliberations of a discursive process, thus invoking the ebb and flow of corrective, editorial, reflective, remedial, and reversible processes, not every mode of growth or development that can occur in a sign relation has a bearing on reducing the uncertainty of an agent about an object or has the effect of promoting the clarity of the given signs.
Treating the process of clarification as one that affects the growth and development of a sign relation, even if constrained to the medium of its syntactic domain, there is, of course, an overwhelming diversity of ways that one can imagine an arbitrary sign relation as growing through time. No matter whether it restrains its labors to the monotonic annexation of ever more triples <math>(o, s, i)\!</math> to the masses of data already accumulated or whether it liberates the full deliberations of a discursive process, thus invoking the ebb and flow of corrective, editorial, reflective, remedial, and reversible processes, not every mode of growth or development that can occur in a sign relation has a bearing on reducing the uncertainty of an agent about an object or has the effect of promoting the clarity of the given signs.
With regard to inquiry as clarification, and clarification in turn as the evolution of a sign relation, it does not matter whether one views it as a process of exploration and discovery, taking place in a preconceived cartesian space OxSxI and seeking to find clearer signs for each known object, or whether one views it as a process of creation and invention, staking out the syntactic parts of elementary sign relations <o, s, i>, following the directions of transient clarity to the signs of maximal achievable clarity, making and testing novel combinations with an eye toward present objects, and picking out the clearest indications for inclusion in one's current sign relation.
With regard to inquiry as clarification, and clarification in turn as the evolution of a sign relation, it does not matter whether one views it as a process of exploration and discovery, taking place in a preconceived cartesian space <math>O \times S \times I\!</math> and seeking to find clearer signs for each known object, or whether one views it as a process of creation and invention, staking out the syntactic parts of elementary sign relations <math>(o, s, i),\!</math> following the directions of transient clarity to the signs of maximal achievable clarity, making and testing novel combinations with an eye toward present objects, and picking out the clearest indications for inclusion in one's current sign relation.
To review: Inquiry depends on clarification, and clarification depends on the augmentation or the evolution of sign relations in various ways. In order to stay within the realms of possibility that are accessible to computational processes and covered by computational models, it is best to look for varieties of clarification process that are tantamount to recursive forms of development in sign relations, those that one can contemplate being carried out by a recursively defined growth process. Even working under these constraints, there is still an amazingly large variety of different ways that the "eking out" of initial sign relations and the "imping out" of fledgling sign relations can proceed.
To review: Inquiry depends on clarification, and clarification depends on the augmentation or the evolution of sign relations in various ways. In order to stay within the realms of possibility that are accessible to computational processes and covered by computational models, it is best to look for varieties of clarification process that are tantamount to recursive forms of development in sign relations, those that one can contemplate being carried out by a recursively defined growth process. Even working under these constraints, there is still an amazingly large variety of different ways that the ''eking out'' of initial sign relations and the ''imping out'' of fledgling sign relations can proceed.
To expand: Inquiry depends on clarification, and clarification depends on the augmentation or the evolution of sign relations in directions that serve the interests and help to achieve the intentions of their agents. If this is true then it must be possible to say something about the ways that sign relations figure into the interests and intentions of agents. In this connection, the desire to relate sign relations to the objectives of interpretive agents touches on the topics of what are normally called the "normative sciences", namely: aesthetics, ethics, and logic. Since the style of pragmatic thought that I am using puts a distinctive twist on the way that these three disciplines are regarded in relation to each other, it is necessary for me to attach a slight gloss on this point. Along the way, related concerns about the topic of "justification" make a natural appearance, and this allows me to set down some initial thoughts about the "forms of justification" (FOJ's) that I contemplate using in this work.
To expand: Inquiry depends on clarification, and clarification depends on the augmentation or the evolution of sign relations in directions that serve the interests and help to achieve the intentions of their agents. If this is true then it must be possible to say something about the ways that sign relations figure into the interests and intentions of agents. In this connection, the desire to relate sign relations to the objectives of interpretive agents touches on the topics of what are normally called the ''normative sciences'', namely: aesthetics, ethics, and logic. Since the style of pragmatic thought that I am using puts a distinctive twist on the way that these three disciplines are regarded in relation to each other, it is necessary for me to attach a slight gloss on this point. Along the way, related concerns about the topic of "justification" make a natural appearance, and this allows me to set down some initial thoughts about the ''forms of justification'' (FOJs) that I contemplate using in this work.
=====5.2.11.3. An Early Description of Interpretation=====
=====5.2.11.3. An Early Description of Interpretation=====
Insofar as the analysis of etymological and other associations existing among familiar and other words can lead up in time to a proper analysis of the underlying concepts involved, the discussion just given can be taken in the spirit with which it is offered, as a body of suggestions about the derivation of an abductive faculty from an advisory function. But insofar as the sole themes that exhibit any novelty about them are easy to lose in the cacophony of verbal clutter that frequently ensues, it may be advisable, one last time, in as summary a refrain as possible, to recapitulate the chief points of originality to which this work gives fanfare. The originality I advert to appears to arise from Aristotle:
Insofar as the analysis of etymological and other associations existing among familiar and other words can lead up in time to a proper analysis of the underlying concepts involved, the discussion just given can be taken in the spirit with which it is offered, as a body of suggestions about the derivation of an abductive faculty from an advisory function. But insofar as the sole themes that exhibit any novelty about them are easy to lose in the cacophony of verbal clutter that frequently ensues, it may be advisable, one last time, in as summary a refrain as possible, to recapitulate the chief points of originality to which this work gives fanfare. The originality I advert to appears to arise from Aristotle:
Words spoken are symbols or signs (symbola) of affections or impressions (pathemata) of the soul (psyche); written words are the signs of words spoken. As writing, so also is speech not the same for all races of men. But the mental affections themselves, of which these words are primarily signs (semeia), are the same for the whole of mankind, as are also the objects (pragmata) of which those affections are representations or likenesses, images, copies (homoiomata).
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<p>Words spoken are symbols or signs (''symbola'') of affections or impressions (''pathemata'') of the soul (''psyche''); written words are the signs of words spoken. As writing, so also is speech not the same for all races of men. But the mental affections themselves, of which these words are primarily signs (''semeia''), are the same for the whole of mankind, as are also the objects (''pragmata'') of which those affections are representations or likenesses, images, copies (''homoiomata'').</p>
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| align="right" | (Aristotle, ''On Interpretation'', i.16<sup>a</sup>4–9, p. 115)
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Of all the early intimations of the sign relation that have come down to the present time, this depiction is the clearest and the fullest, in the level and the lucidity of the details that it articulates, of any I know. There will be ample occasion to return to its ideas on a recurring basis throughout the rest of this work. For the moment, there are especially a couple of themes, traceable to this locus and running through its text, that I want to draw out and to emphasize, not only for the message that they convey for the sake of the immediate inquiry, but for their manner of bearing it into the current context of applications.
Of all the early intimations of the sign relation that have come down to the present time, this depiction is the clearest and the fullest, in the level and the lucidity of the details that it articulates, of any I know. There will be ample occasion to return to its ideas on a recurring basis throughout the rest of this work. For the moment, there are especially a couple of themes, traceable to this locus and running through its text, that I want to draw out and to emphasize, not only for the message that they convey for the sake of the immediate inquiry, but for their manner of bearing it into the current context of applications.
The assumptions and implications of Aristotle's account that are relevant here are first listed briefly, after which all of the points in turn are explored in full detail.
The assumptions and implications of Aristotle's account that are relevant here are first listed briefly, after which all of the points in turn are explored in full detail.
# Assumptions of constancy
# Compound of fractures
# Cognitive coin/currency/ideas are derivative in relation to affective basis/realm/ideas
# Concrete material presented by emotions: affects and motives
On Aristotle's account, there is a special path of relationship that can be traced in either direction between the pragmatic objects (''pragmata'') that attract, concern, or interest the mind and the symbolic signs that the mind exploits to express its feelings or its thoughts, and this route passes through the ''pathemata'', literally, the affects that these objects impress on the mind (''psyche''). Picturesquely, the image overall is that of a coin, which is cast, minted, or stamped in a die, mold, or template and then split into fragments that serve as tokens of mutual recognition if and when they are ever again caused “to be cast or thrust together” (''symballein''). Aside from the nuance that distinguishes artificial and cultural symbols (''symbola'') from biological and natural signs (''semeia''), the signs that mediate peoples' cognitive processes can be seen to arise as fragments of likenesses of their objects. And so it is appropriate to dub this picture of sign relations as the ''iconoclastic theory of signs''.
A reasonably useful correspondence is formed between the sign relations of Aristotle and Peirce, respectively, by fashioning the following rough linkages:
# Associate the categories of ''objects'' in both accounts.
# Collapse for the moment the distinction between ''signs spoken'' and ''signs written'' and put them together in association with a maximally generic class of ''signs''.
# Incorporate ''pathemata'' as a particular species of mental conditions, determinations, or entities, that is, as a special class of modes of bearing and modes of being affecting the mind, and put them in association with a special class of ''interpretant signs''.
It is only the last part of this likely correspondence that leads to much difficulty and requires a closer examination to untangle its complexities. In accord with the lines of its suggestion "affections" and "impressions" are brought together and given their places within a maximally generic class of affective states, cognitive conditions, conceptual formations, ideal forms, motive dispositions, potentially existent "states of mind", and virtually existent "things in mind". Under these and other terms, a catch all category is formed that ranges through the entire panorama of mental dispositions and mental entities, encompassing the full spectrum of determinations in the medium of the mind, all of which, for maximum convenience and generality can be referred to most simply as "ideas". Granted this endowment of "ideas", the suggestion is made to associate all of these "ideas", at least, for the purposes of a formal treatment, with the pragmatic domain of "interpretant signs".
It is only the last part of this likely correspondence that leads to much difficulty and requires a closer examination to untangle its complexities. In accord with the lines of its suggestion ''affections'' and ''impressions'' are brought together and given their places within a maximally generic class of affective states, cognitive conditions, conceptual formations, ideal forms, motive dispositions, potentially existent ''states of mind'', and virtually existent ''things in mind''. Under these and other terms, a catch-all category is formed that ranges through the entire panorama of mental dispositions and mental entities, encompassing the full spectrum of determinations in the medium of the mind, all of which, for maximum convenience and generality can be referred to most simply as ''ideas''. Granted this endowment of ideas, the suggestion is made to associate all of these ideas, at least, for the purposes of a formal treatment, with the pragmatic domain of ''interpretant signs''.
This recasting of Aristotle's model of interpretation into the molds of Peirce's theory of sign relations, given that the former retains a body of concrete material that the latter casts off from its abstract forms, barely roughs out an interpretation of the theory in terms of the model. And yet this interpretation is still a bit forced in the character of its suggested associations, and it still faces a number of objections to the likelihood of its truth, its utility, or its other potential virtues ever becoming actualized. These objections indicate a daunting array of more obscure obstacles that line up behind and loom into the distance beyond the one or two more obstinate obstructions that make themselves obvious at present, all of which inveigh, inveigle, and weigh against carrying through the completion of a viable work along the lines projected.
This recasting of Aristotle's model of interpretation into the molds of Peirce's theory of sign relations, given that the former retains a body of concrete material that the latter casts off from its abstract forms, barely roughs out an interpretation of the theory in terms of the model. And yet this interpretation is still a bit forced in the character of its suggested associations, and it still faces a number of objections to the likelihood of its truth, its utility, or its other potential virtues ever becoming actualized. These objections indicate a daunting array of more obscure obstacles that line up behind and loom into the distance beyond the one or two more obstinate obstructions that make themselves obvious at present, all of which inveigh, inveigle, and weigh against carrying through the completion of a viable work along the lines projected.
Many of the problems with this trial interpretation, in it stands in its currently tentative state of development, can be traced to the fact that I have not fully disentangled the formal and the material aspects of the category of pathemata, or else, I have not distinguished the properties they display by virtue of their roles in a relation from the properties they exhibit by virtue of their inherent natures. Indeed, as the issue now appears to me on reflection, I have not examined thoroughly enough the relation between the two distinctions I just supposed, that between form and matter, and that between relation and essence, nor even asked how and whether any such distinctions can be made on a reliable basis.
Many of the problems with this trial interpretation, in it stands in its currently tentative state of development, can be traced to the fact that I have not fully disentangled the formal and the material aspects of the category of pathemata, or else, I have not distinguished the properties they display by virtue of their roles in a relation from the properties they exhibit by virtue of their inherent natures. Indeed, as the issue now appears to me on reflection, I have not examined thoroughly enough the relation between the two distinctions I just supposed, that between form and matter, and that between relation and essence, nor even asked how and whether any such distinctions can be made on a reliable basis.
One of the things that one means by "matter" is the mass of instances that one uses to illustrate a common "form". In this sense of the terms, the distinction between form and matter has been implicitly relevant to this work, if not especially salient within it, ever since it entered on the course of discussing the process and the product of formalization in terms of a selection of concrete examples. One of the reasons that one chooses to present a formal subject in the medium of its own materials, that is, by means of examples, is that this very form is not yet grasped abstractly enough, that is, by means of clear and distinctive definitions. This choice can be due to the presence of difficulties and obstructions, on the part of the presenter or the presentee, that stand in the way of a more comprehensive form of understanding being achieved all at once.
One of the things that one means by ''matter'' is the mass of instances that one uses to illustrate a common ''form''. In this sense of the terms, the distinction between form and matter has been implicitly relevant to this work, if not especially salient within it, ever since it entered on the course of discussing the process and the product of formalization in terms of a selection of concrete examples. One of the reasons that one chooses to present a formal subject in the medium of its own materials, that is, by means of examples, is that this very form is not yet grasped abstractly enough, that is, by means of clear and distinctive definitions. This choice can be due to the presence of difficulties and obstructions, on the part of the presenter or the presentee, that stand in the way of a more comprehensive form of understanding being achieved all at once.
In the light of these considerations, one can see that this discussion has stayed immersed in the matter of its topic for quite some time now. Indeed, it is fair to describe the current trajectory of this inquiry as "a matter in search of its form". A distinction between form and matter, if it matters to anyone, is not already finished, but yet to be formed. And yet, no sooner does it form itself in a particular way than it seems, at least with regard to itself, that it was always meant to be that way. And so one encounters a form of distinction that evolves in coincidence with a form of life, taking the essence of its own formation to be a kind of "synthetic a priori" (SAP). Several factors now conspire to make the relevance of this distinction become more acute at this point.
In the light of these considerations, one can see that this discussion has stayed immersed in the matter of its topic for quite some time now. Indeed, it is fair to describe the current trajectory of this inquiry as “a matter in search of its form”. A distinction between form and matter, if it matters to anyone, is not already finished, but yet to be formed. And yet, no sooner does it form itself in a particular way than it seems, at least with regard to itself, that it was always meant to be that way. And so one encounters a form of distinction that evolves in coincidence with a form of life, taking the essence of its own formation to be a kind of ''synthetic a priori''. Several factors now conspire to make the relevance of this distinction become more acute at this point.
The whole class of affections, cognitions, dispositions, impressions, and motivations of the mind that I include in the category of "ideas" is the smallest collection I can form that remains connected in its associations, that is, as a class of signs whose interpretations lead in and to itself. But giving this host of ideas a fixed and a simple name, no matter how well it means to unify the manifold of impressions under a simple term, and no matter how well it manages to organize the array of associations under a specious concept of unity, does nothing to dispell the blooming complexity, the boiling diversity, the booming heterogeneity, and the bubbling inconruity of the ideas themselves, which seem to spite every attempt to incorporate their livelier qualities and to regulate their ongoing varieties in the almost purely nominal forms of integrity that mere words can provide.
The whole class of affections, cognitions, dispositions, impressions, and motivations of the mind that I include in the category of ''ideas'' is the smallest collection I can form that remains connected in its associations, that is, as a class of signs whose interpretations lead in and to itself. But giving this host of ideas a fixed and a simple name, no matter how well it means to unify the manifold of impressions under a simple term, and no matter how well it manages to organize the array of associations under a specious concept of unity, does nothing to dispel the blooming complexity, the boiling diversity, the booming heterogeneity, and the bubbling incongruity of the ideas themselves, which seem to spite every attempt to incorporate their livelier qualities and to regulate their ongoing varieties in the almost purely nominal forms of integrity that mere words can provide.
A purely formal study of sign relations could proceed unhindered from this point, at least, unencumbered by the material aspects of its subject, if only it had a clear definition of what a sign relation is meant to be. And yet, from a purely formal perspective, almost any axioms are worth pursuing, as long as they pick out an interesting class of formal objects and even so long as they manifest a certain elegance in their own right.
A purely formal study of sign relations could proceed unhindered from this point, at least, unencumbered by the material aspects of its subject, if only it had a clear definition of what a sign relation is meant to be. And yet, from a purely formal perspective, almost any axioms are worth pursuing, as long as they pick out an interesting class of formal objects and even so long as they manifest a certain elegance in their own right.
It is frequently claimed that the virtues of "elegance" and "interest" are qualities that abstract axioms and formal objects can possess quite independently of their anchorage in, bearing on, connection to, or any other crassly pragmatic relationship with a "ground", such as might be constituted by an additional application to a concrete subject or by an extraneous utility in a practical matter. I am tempted to agree, though I suspect that there are further difficulties and greater paradoxes still hiding within the word "independently". In any case, if the axioms that one selects to characterize sign relations are intended to have empirical applications, objective justifications, and practical motivations, to be justified by reasons that go beyond the contemplation of abstract forms for their own sakes, to be motivated by purposes that reach beyond the purer forms of aesthetic enjoyment, the self justifying and self seeking forms of entertainment, exercise, experiment, and exploration, or the riskier forms of speculation against the chances of their future utility, and until the essential features of a general definition can be grasped, it will be necessary to preserve the data of their material occurrences for whatever insight it can afford into the qualities that determine the worth of signs, and it will be prudent to continue mining the material evidence for exemplary instances of their actual use.
It is frequently claimed that the virtues of ''elegance'' and ''interest'' are qualities that abstract axioms and formal objects can possess quite independently of their anchorage in, bearing on, connection to, or any other crassly pragmatic relationship with a ''ground'', such as might be constituted by an additional application to a concrete subject or by an extraneous utility in a practical matter. I am tempted to agree, though I suspect that there are further difficulties and greater paradoxes still hiding within the word ''independently''. In any case, if the axioms that one selects to characterize sign relations are intended to have empirical applications, objective justifications, and practical motivations, to be justified by reasons that go beyond the contemplation of abstract forms for their own sakes, to be motivated by purposes that reach beyond the purer forms of aesthetic enjoyment, the self justifying and self seeking forms of entertainment, exercise, experiment, and exploration, or the riskier forms of speculation against the chances of their future utility, and until the essential features of a general definition can be grasped, it will be necessary to preserve the data of their material occurrences for whatever insight it can afford into the qualities that determine the worth of signs, and it will be prudent to continue mining the material evidence for exemplary instances of their actual use.
Before this discussion can proceed much further, there are a couple of seeming distinctions that I find myself in need of trying to make real, or otherwise of knowing the reason why they cannot be made in reality. There are reasons why I emphasize the "seeming" and "trying" aspects of this situation: (1) It is not entirely clear to me whether these apparent distinctions, as commonly described and as usually intended, are capable of being maintained in reality, as opposed to what little significance they have while posed on the grounds of mere imagination. (2) Even if the corresponding forms of distinction are capable of being established in a clear, a proper, and a successful manner, it remains an open question to me at this point how this ought to be done in practice, and the experiences I have had in previous attempts lead me to believe that each of these tasks is far more difficult than it appears at first.
Before this discussion can proceed much further, there are a couple of seeming distinctions that I find myself in need of trying to make real, or otherwise of knowing the reason why they cannot be made in reality. There are reasons why I emphasize the ''seeming'' and ''trying'' aspects of this situation:
In the process of carrying out this inquiry I find it necessary to make a type of rhetorical transition that can be cast in the stereotyped form: "In the process of doing x I find it necessary to do y."
# It is not entirely clear to me whether these apparent distinctions, as commonly described and as usually intended, are capable of being maintained in reality, as opposed to what little significance they have while posed on the grounds of mere imagination.
# Even if the corresponding forms of distinction are capable of being established in a clear, a proper, and a successful manner, it remains an open question to me at this point how this ought to be done in practice, and the experiences I have had in previous attempts lead me to believe that each of these tasks is far more difficult than it appears at first.
In the process of carrying out this inquiry I find it necessary to make a type of rhetorical transition that can be cast in the stereotyped form: “In the process of doing ''x'' I find it necessary to do ''y''.”
=====5.2.11.4. Descriptions of the Mind=====
=====5.2.11.4. Descriptions of the Mind=====
In the process of interpreting Aristotle's text on interpretation as an early account of sign relations, I invoked a number of distinctions that appeared to be called for to guide the interpretation of the text and to form what I sense to be the most reasonable interpretation of its terms. All of these distinctions are drawn from common practice and are usually assumed to be easy to make in any case. And yet, on reflection, I find that I have little or no faith in their advertised properties or in my right to take them for granted.
In the process of interpreting Aristotle's text on interpretation as an early account of sign relations, I invoked a number of distinctions that appeared to be called for to guide the interpretation of the text and to form what I sense to be the most reasonable interpretation of its terms. All of these distinctions are drawn from common practice and are usually assumed to be easy to make in any case. And yet, on reflection, I find that I have little or no faith in their advertised properties or in my right to take them for granted.
For instance, consider the distinction between form and matter. When I reflect on the question of how and whether I can make this distinction, I find myself hard pressed to tell whether the distinction itself is a formal distinction, a material distinction, or something else entirely. Trying to pin it down between the first two cases, it seems to be either, or both, and yet neither, depending on the light that I choose to throw on the question, to consider the alternatives by, and to interrogate the usual answers under. If it is either, then the significance of the other is diminished to nothing, as all that the opposite side of the divide can amount to is sliced away by a gradual slippage down the apposite slope, until the significance of the entire distinction appears but to disappear. If it is both, then it violates the exclusiveness that is usually assumed to hold between the two sides of the distinction. If it is neither, then it invalidates the exhaustiveness that is usually assumed to apply to the distinction between form and matter. Whatever the case, I am called on to assume something unusual. Indeed, it seems I am forced to recognize a "tertium quid" or a "third something", in other words, an option that can supply a novel alternative to the choice between form and matter, a category that the Greeks only hint at obscurely or obliquely allude to under the name of an "entelechy", and something that I can well nigh call the "interpretive" case.
For instance, consider the distinction between form and matter. When I reflect on the question of how and whether I can make this distinction, I find myself hard pressed to tell whether the distinction itself is a formal distinction, a material distinction, or something else entirely. Trying to pin it down between the first two cases, it seems to be either, or both, and yet neither, depending on the light that I choose to throw on the question, to consider the alternatives by, and to interrogate the usual answers under. If it is either, then the significance of the other is diminished to nothing, as all that the opposite side of the divide can amount to is sliced away by a gradual slippage down the apposite slope, until the significance of the entire distinction appears but to disappear. If it is both, then it violates the exclusiveness that is usually assumed to hold between the two sides of the distinction. If it is neither, then it invalidates the exhaustiveness that is usually assumed to apply to the distinction between form and matter. Whatever the case, I am called on to assume something unusual. Indeed, it seems I am forced to recognize a ''tertium quid'' or a ''third something'', in other words, an option that can supply a novel alternative to the choice between form and matter, a category that the Greeks only hint at obscurely or obliquely allude to under the name of an ''entelechy'', and something that I can well nigh call the ''interpretive'' case.
By way of guidance in this innovation, or this novel effort to capture interpretation in and of itself, I adduce two texts that help to show the way that the relationship between form and matter has often been seen.
By way of guidance in this innovation, or this novel effort to capture interpretation in and of itself, I adduce two texts that help to show the way that the relationship between form and matter has often been seen.
The first text illustrates the use of this distinction in the context of a psychological investigation.
The first text illustrates the use of this distinction in the context of a psychological investigation.
We describe one class of existing things as substance (ousia); and this we subdivide into three: (1) matter (hyle), which in itself is not an individual thing; (2) shape (morphe) or form (eidos), in virtue of which individuality is directly attributed; and (3) the compound of the two.
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<p>We describe one class of existing things as substance (''ousia''); and this we subdivide into three: (1) matter (''hyle''), which in itself is not an individual thing; (2) shape (''morphe'') or form (''eidos''), in virtue of which individuality is directly attributed; and (3) the compound of the two.</p>
Matter is potentiality (dynamis), while form is realization or actuality (entelecheia), and the word actuality is used in two senses, illustrated by the possession of knowledge (episteme) and the exercise of it (theorein).
<p>Matter is potentiality (''dynamis''), while form is realization or actuality (''entelecheia''), and the word actuality is used in two senses, illustrated by the possession of knowledge (''episteme'') and the exercise of it (''theorein'').</p>
Bodies seem to be pre eminently substances, and most particularly those which are of natural origin; for these are the sources from which the rest are derived.
<p>Bodies seem to be pre-eminently substances, and most particularly those which are of natural origin; for these are the sources from which the rest are derived.</p>
But of natural bodies some have life and some have not; by life we mean the capacity for self sustenance, growth, and decay. Every natural body, then, which possesses life must be substance, and substance of the compound type.
<p>But of natural bodies some have life and some have not; by life we mean the capacity for self sustenance, growth, and decay. Every natural body, then, which possesses life must be substance, and substance of the compound type.</p>
But since it is a body of a definite kind, viz., having life, the body cannot be soul, for the body is not something predicated of a subject, but rather is itself to be regarded as a subject, i.e., as matter.
<p>But since it is a body of a definite kind, viz., having life, the body cannot be soul, for the body is not something predicated of a subject, but rather is itself to be regarded as a subject, i.e., as matter.</p>
So the soul (psyche) must be substance (ousia) in the sense of being the form (eidos) of a natural body (soma), which potentially (dynamei) has life. And substance in this sense is actuality (entelecheia).
<p>So the soul (''psyche'') must be substance (''ousia''') in the sense of being the form (''eidos'') of a natural body (''soma''), which potentially (''dynamei'') has life. And substance in this sense is actuality (''entelecheia'').</p>
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| align="right" | Aristotle, ''De Anima'', II.i.412<sup>a</sup>6–412<sup>a</sup>22
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The soul, then, is the actuality of the kind of body we have just described. But actuality has two senses, analogous to the possession of knowledge and the exercise of it.
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<p>The soul, then, is the actuality of the kind of body we have just described. But actuality has two senses, analogous to the possession of knowledge and the exercise of it.</p>
Clearly actuality in our present sense is analogous to the possession of knowledge; for both sleep and waking depend upon the presence of soul, and waking is analogous to the exercise of knowledge, sleep to its possession but not its exercise.
<p>Clearly actuality in our present sense is analogous to the possession of knowledge; for both sleep and waking depend upon the presence of soul, and waking is analogous to the exercise of knowledge, sleep to its possession but not its exercise.</p>
Now in one and the same person the possession of knowledge comes first. The soul may therefore be defined as the first actuality of a natural body potentially possessing life; ...
<p>Now in one and the same person the possession of knowledge comes first. The soul may therefore be defined as the first actuality of a natural body potentially possessing life; …</p>
So one need no more ask whether body and soul are one than whether the wax and the impression it receives are one, or in general whether the matter of each thing is the same as that of which it is the matter; for admitting that the terms unity and being are used in many senses, the paramount sense is that of actuality.
<p>So one need no more ask whether body and soul are one than whether the wax and the impression it receives are one, or in general whether the matter of each thing is the same as that of which it is the matter; for admitting that the terms unity and being are used in many senses, the paramount sense is that of actuality.</p>
We have, then, given a general definition of what the soul is: it is substance in the sense of a formula; i.e., the essence of such and such a body [a natural body potentially possessing life].
<p>We have, then, given a general definition of what the soul is: it is substance in the sense of a formula; i.e., the essence of such and such a body [a natural body potentially possessing life].</p>
Suppose that an implement, e.g., an axe, were a natural body; the substance of the axe would be that which makes it an axe, and this would be its soul; suppose this removed, and it would no longer be an axe, except equivocally. ...
<p>Suppose that an implement, e.g., an axe, were a natural body; the substance of the axe would be that which makes it an axe, and this would be its soul; suppose this removed, and it would no longer be an axe, except equivocally. …</p>
If the eye were a living creature, its soul would be its vision; for this is the substance in the sense of formula of the eye. But the eye is the matter of vision, and if vision fails there is no eye, except in an equivocal sense, as for instance a stone or painted eye. ...
<p>If the eye were a living creature, its soul would be its vision; for this is the substance in the sense of formula of the eye. But the eye is the matter of vision, and if vision fails there is no eye, except in an equivocal sense, as for instance a stone or painted eye. …</p>
The waking state is actuality in the same sense as the cutting of the axe or the seeing of the eye, while the soul is actuality in the same sense as the faculty of the eye for seeing, or of the implement for doing its work. ...
<p>The waking state is actuality in the same sense as the cutting of the axe or the seeing of the eye, while the soul is actuality in the same sense as the faculty of the eye for seeing, or of the implement for doing its work. …</p>
It is also uncertain whether the soul as an actuality bears the same relation to the body as the sailor to the ship.
<p>It is also uncertain whether the soul as an actuality bears the same relation to the body as the sailor to the ship.</p>
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| align="right" | Aristotle, ''De Anima'', II.i.412<sup>a</sup>22–413<sup>a</sup>9
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The second text illustrates the use of an analogous distinction between form and matter within the context of a logical investigation.
The second text illustrates the use of an analogous distinction between form and matter within the context of a logical investigation.
And how can one know the certainty of demonstrations except by examining the argument in detail, the form and the matter, in order to see if the form is good, and then if each premiss is either admitted or proved by another argument of like force, until one is able to make do with admitted premisses alone?
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<p>And how can one know the certainty of demonstrations except by examining the argument in detail, the form and the matter, in order to see if the form is good, and then if each premiss is either admitted or proved by another argument of like force, until one is able to make do with admitted premisses alone?</p>
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| align="right" | Leibniz, ''Theodicy'', [Leib, 89]
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Take once again the distinction between form and matter, and allow me to say that this distinction is ''interpretive'' in character or nature. This gives me the option of saying that it is formal in some cases but material in other cases. It can all depend on choice and circumstance. If I interpret it as formal then certain things follow. If I interpret it as material then other things follow. But I can rest with calling it interpretive, leaving it to the moment to actualize what is most fitting. If I interpret it as interpretive, which amounts to a way of holding any further decision in suspense, then I am choosing to remain all the while constantly aware of the circumstances and the conditions that affect the actualization of this distinction as either form or matter, or else to experience the consequences of failing to do so.
But then, on marking any distinction, a moment's reflection brings me to ask: “Who or what makes this distinction that I mark?” And whether I say that it is I, or you, or whoever else agrees in marking it with us, whose activity constitutes the making of this distinction, or whether I think it is someone other or something else that makes this distinction that all of us merely mark and remark, and whether it is decided in the end that the maker is always coincident or sometimes distinct in regard to the marker, then I find myself still having to ask: “How and why is this distinction being marked, in particular, what side or sides, with respect to each other, are its maker and its marker on?”
For these reasons, it is necessary to use an indirect strategy in order to approach the questions of these distinctions that I want to consider. The ostensible distinctions are first described in very rough terms and introduced in the ways that they are naturally and usually thought of. Thus, without taking for granted the clarity, fidelity, sensibility, or validity of their formulations, the distinctions are initially presented in the terms by which they are commonly indicated, intended, suggested, or regarded as being established. This manner of approach is demanded in order to keep from assuming, if at all possible, the prior worth of the very formulations that are being examined and tested, and it tries to make it a separate question whether these intentions to distinguish can continue to be maintained in the very same terms and formulations. Once this preliminary investigation is carried through to a conclusion, positive or negative, I can then return to analyze more carefully and more generally the whole process of making such distinctions.
# The rough idea of one distinction is to sort the properties of things into two categories: the “properties that things have” versus the “properties that things are given”. More specifically, and in reference to a typical agent, the former class is intended to include the properties that things have, in and of themselves, independently of any agent, whereas the latter class is intended to include the properties that things are given by an agent. Now, it is clear that the common usage of words like ''have'' and ''give'' leaves a wide range of ambiguity still remaining that needs to be resolved by the right interpretation. (essential vs imputed properties)
# The rough idea of another distinction is to sort signs and ideas, no matter whether they are considered severally or together, into two categories: “signs and ideas as they actually occur” versus “signs and ideas in an abstract vacuum”. More specifically, and with reference to a particular class, community, or population of interpretive agents, the former category is intended to include signs and ideas as they actually occur among these agents, for example, as actualized, embodied, implemented, operationalized, or realized, whether consciously or not, among human beings, whereas the latter category leaves unanswered the question of embodiment and is therefore open to any suggestion as to how these signs and these ideas are intended to be conceived. (empirical and material vs theoretical and formal signs and ideas)
I use the terms "figure", "ground", and ? to indicate the "species", the "remains", and the "genus", respectively, of a PFD or "distincture". Notice that the "figure" and the "ground" are not treated symmetrically, but that each element of the figure is given an extra feature, a mark of attention or a tincture of distinction, that it does not have before the distinction is made, even if it is nothing more than a recognition or a representation, explicitly given by an agent to an element, of a feature that the element already posseses. Notice the asymmetry that occurs between the treatment of the figure and the treatment of the ground. Given this special form of distinction, and appreciating this asymmetry, ...
[Alternative text?] The form of distinction that I need at this point tagging “signs and ideas as they actually occur”, for example, as actualized, embodied, and realized, whether consciously or not, in human beings, and leaving “signs and ideas in a vacuum” untagged by any special mark.
Suppose I need to draw a distinction, that marks out a special dominion from its more general domain, but I want to be careful to emphasize the inclusion of the species within the genus, as much as their separation. So let me paint the distinction this way, that it overlays a distinctive tincture on the species but not on the genus, and thus it highlights the special dominion as it resides within the grounds of its generic domain. Given this special form of distinction, it deserves to be given a name. It is fitting to describe it as a ''partial functional distinction'' (PFD), by way of recognizing the partial function that assigns a special value to the species, but not necessarily any value to the rest of the genus. A better nickname, more compact than the verbose description and more mnemonic than the acronym, is served by coining the term ''distincture''. In this context, let the species that is distinguished by a particular distincture be referred to as the ''content'' of that distincture, and let the remains of the genus be referred to as the ''discontent'' or even as the ''distent'' of that distincture. Notice that a distinction, as it is ordinarily understood, has at least two distinctures associated with it, where each especially values what the other does not necessarily value, and where the content of either one is the discontent of the other one. It should also be noted that I have not said anything yet about these partial functions being computable, only that they are conceivable.
I use the terms ''figure'', ''ground'', and [?] to indicate the ''species'', the ''remains'', and the ''genus'', respectively, of a PFD or ''distincture''. Notice that the figure and the ground are not treated symmetrically, but that each element of the figure is given an extra feature, a mark of attention or a tincture of distinction, that it does not have before the distinction is made, even if it is nothing more than a recognition or a representation, explicitly given by an agent to an element, of a feature that the element already possesses. Notice the asymmetry that occurs between the treatment of the figure and the treatment of the ground. Given this special form of distinction, and appreciating this asymmetry, …
There are several ways of studying sign relations that avoid the realm of affects and motives, at least, they seem to get around it for a while, thereby obviating the problems of delving into this refractory material. A purely combinatorial approach …
It seems to me that every ''impression'' has something in the way of an ''impulse'' about it, in other words, that every affective condition is analogous, equivalent, or identical in some sense to a motive disposition. For this reason, I comprehend the category of pathemata to comprise a generic class of ''double duty ideas'' that one is free to interpret in either a passive or an active sense, in short, as ''affects'' or ''motives'', respectively. To sum up the understanding of these terms that I reach at this point: The category of pathemata, encompassing both affective impressions and motive impulses, can be treated as a species of ideas. Ideas constitute a genus of mental conditions, dispositions, or entities that are theoretically tantamount to ''mental signs''. Whereas ideas can be understood as ''signs in the mind'', it is perhaps best to regard them as ''signs of the mind'', or even as ''the mind in signs'', that is, as all the ways that the mind conducts itself and continues to live in signs.
Affects and motives, by way of giving them a conventional placement in the larger class of ideas that inhabit the ''mind'' of a particular agent, can be seen as belonging somewhat closer to the ''body'' of their agent, since they are especially concerned with maintaining the health and the life of that body, and they preserve an interest in the viability, the vitality, and the overall well being of the particular agent concerned. Accordingly, whatever else the signs called ''pathemata'' are about, they are partly about the body of functions and structures that are required to maintain their agent in a viable form. No matter what other objects their signals of conditions and their suggestions of actions may have, they are partially intended to serve a particular form of materially constituted agent and to help it preserve its own accustomed nature.
To form a better sense of how affects and motives fit within the category of ideas, or mental signs, and of how they can be located within a suitable domain of interpretant signs, I give these pathemata the somewhat arbitrary collective name of ''motives or themes'' (MOTs), intended to suggest little more than the common coin of emotions and motivations, and then I quickly divide this overly bulky, burdensome, and burgeoning class of meanings into three subdomains:
# The ''ostensibly ultimate interpretants'' (OUIs) comprise whatever aspects of affirmative and definite sense are available to these MOTs. They constitute the ultimate meanings that appear to be achievable and affirmable at a given moment in the development of an interpreter or in the evolution of an interpretation. At any given time, they seem to be the ultimate interpretants that all properly directed mental processes are tending toward, and yet none of this stands in the way of diverse interpretants being taken as the ultimate achievables at other times.
# The ''almost never objective notions'' (ANONs)
# The ''never objective notions'' (NONs)
Talk of mental impressions, whether taken literally, as being the forms that objects are imagined to impress on the mind, or taken figuratively, as bearing the information that objects are recognized to transfer into the medium afforded by the mind, is frequently criticized as a metaphor that leads to many false, misleading, specious, or spurious impressions. For instance, the very idea of a mental impression is often censured on the grounds that it promotes an offshoot of illegitimate "instructivist" notions, themselves the outgrowth of commonly discredited "essentialist" doctrines, teaching something to the effect that objects have the power to "instruct" the mind about their essential natures or true properties, thereby directly, literally, and materially imbuing, informing, infusing, and "instructuring" the mind, not just "about" their actual characters, but fully "in" their ideal forms and wholly "with" their real natures.
Talk of mental impressions, whether taken literally, as being the forms that objects are imagined to impress on the mind, or taken figuratively, as bearing the information that objects are recognized to transfer into the medium afforded by the mind, is frequently criticized as a metaphor that leads to many false, misleading, specious, or spurious impressions. For instance, the very idea of a mental impression is often censured on the grounds that it promotes an offshoot of illegitimate ''instructivist'' notions, themselves the outgrowth of commonly discredited ''essentialist'' doctrines, teaching something to the effect that objects have the power to “instruct” the mind about their essential natures or true properties, thereby directly, literally, and materially imbuing, informing, infusing, and “instructuring” the mind, not just ''about'' their actual characters, but fully ''in'' their ideal forms and wholly ''with'' their real natures.
Obviously, construing the word "impression" in this strict a fashion, hobbling it to senses that remain as naively literal as they favor the purely material, is bound to raise a welter of absurdities in the mind. The notion that an object itself can provide instruction in its nature is not invidious in itself. It is only the refractory implication that often accompanies it, the uncritical, unexamined, and unreflective assumption that this degree of directness affords a quality of infallibility to what nature teaches, insofar as its lessons can be imparted to the finite mind. Regarded in this light, the fallacies imputed to "essentialist" doctrines and "instructivist" notions are not essential to the elements of validity that a charitable interpretation could find in them, but only variations on the same old theme, the pervasive illusion that any mode of infallible cognition is available to a finite mind.
Obviously, construing the word ''impression'' in that strict a fashion, hobbling it to senses that remain as naively literal as they favor the purely material, is bound to raise a welter of absurdities in the mind. The notion that an object itself can provide instruction in its nature is not invidious in itself. It is only the refractory implication that often accompanies it, the uncritical, unexamined, and unreflective assumption that this degree of directness affords a quality of infallibility to what nature teaches, insofar as its lessons can be imparted to the finite mind. Regarded in this light, the fallacies imputed to essentialist doctrines and instructivist notions are not essential to the elements of validity that a charitable interpretation could find in them, but only variations on the same old theme, the pervasive illusion that any mode of infallible cognition is available to a finite mind.
What can be said about this fundamental fallacy, to wit, the presumption of infallibility that so persistently appears to affect the minds of the very agents who least deserve to claim its prerogative with any justice, that so frequently appears to remain as incorrigible as it is devoted to preserve its unregenerate state? If one inquires into the origin of this delusion and into the source of its effects on the mind, then the issue can be divided into two branches, distinguishing the mechanisms of its operation from the motives of its enterprise, the "how" from the "why". When it comes to the mechanisms that are capable of accomplishing the effects of this illusion, it seems to be through the creations of the imagination and the ingenuities of speculative thought, in short, through the inventions of "wishful thinking" that it manages to maintain itself. When it comes to the motives that can be held responsible for mounting the measures of effort that the work on this web of deception requires, they seems to harbor their most fugitive aspiration in the overwhelming need to find some perfection somewhere. This is tantamount to a desire or a disposition, affecting the conduct of agent who falls subject to it, that expects a promise of perfect certainty at some point or other, and thus insists on placing a measure of absolute trust in a point of dogma or a rule of method.
What can be said about this fundamental fallacy, to wit, the presumption of infallibility that so persistently appears to affect the minds of the very agents who least deserve to claim its prerogative with any justice, that so frequently appears to remain as incorrigible as it is devoted to preserve its unregenerate state? If one inquires into the origin of this delusion and into the source of its effects on the mind, then the issue can be divided into two branches, distinguishing the mechanisms of its operation from the motives of its enterprise, the ''how'' from the ''why''. When it comes to the mechanisms that are capable of accomplishing the effects of this illusion, it seems to be through the creations of the imagination and the ingenuities of speculative thought, in short, through the inventions of wishful thinking that it manages to maintain itself. When it comes to the motives that can be held responsible for mounting the measures of effort that the work on this web of deception requires, they seems to harbor their most fugitive aspiration in the overwhelming need to find some perfection somewhere. This is tantamount to a desire or a disposition, affecting the conduct of agent who falls subject to it, that expects a promise of perfect certainty at some point or other, and thus insists on placing a measure of absolute trust in a point of dogma or a rule of method.
Wherever there is an prevailing need to believe that one already knows, to think with respect to a question that the answer is already found, then there will be no genuine inquiry occurring in that direction.
Wherever there is an prevailing need to believe that one already knows, to think with respect to a question that the answer is already found, then there will be no genuine inquiry occurring in that direction.
If it pertinent to characterize the kind of agent that behaves this way, it is almost as if the agent imagines that it cannot actually be, neither begin to act, nor continue to act, without such a guarantee of certainty. But what kind of surety would that be, but another specious certificate? Perhaps this character of conduct is due to an excessive sensitivity to the "irritation of doubt" or an exaggerated intolerance for existing in a state of uncertainty. But no amount of finite intuition can purchase an instruction so authoritative that it can ever be interpreted as infallible. In summary, if "essentialism" and its oftentime corollary "instructivism" are interpreted perversely, that is, taking at face value the excessively literal images and the extremely material senses that their underlying thematic metaphors are able to bring to mind, then they are definitely capable of leading to ridiculous conclusions, but if they are interpreted in figurative and formal manners, then there may be a sufficient amount of interpretive "elbow room" for them to convey a measure of sense.
If it pertinent to characterize the kind of agent that behaves this way, it is almost as if the agent imagines that it cannot actually be, neither begin to act, nor continue to act, without such a guarantee of certainty. But what kind of surety would that be, but another specious certificate? Perhaps this character of conduct is due to an excessive sensitivity to the “irritation of doubt” or an exaggerated intolerance for existing in a state of uncertainty. But no amount of finite intuition can purchase an instruction so authoritative that it can ever be interpreted as infallible. In summary, if essentialism and its oftentimes corollary instructivism are interpreted perversely, that is, taking at face value the excessively literal images and the extremely material senses that their underlying thematic metaphors are able to bring to mind, then they are definitely capable of leading to ridiculous conclusions, but if they are interpreted in figurative and formal manners, then there may be a sufficient amount of interpretive elbow room for them to convey a measure of sense.
In this work I intend to give a liberal interpretation to the issue of what kinds of "forms" are able to "impress" their "shapes" on the mind. I consider it likely that they can take the forms, among other things, of probability distributions, in other words, patterns of amplitude, density, frequency, intensity, or likely value that can be predicated of events in the world or impressions in the mind with equal felicity. If these forms are still too concretely cast, then still more formal forms are available. Abstracting from the contents of a strictly probabilistic interpretation, one is left with functions from domains of elementary events articulated in the world or existential experiences affecting the mind, respectively, to ranges of a common value, the height of which has the sole utility of indicating to different degrees the diverse elements under its dominion. In the resulting spaces of functions, forms of dispensation or patterns of distribution accumulate over the domains of external events and the domains of internal experiences, respectively, like crowns of foliage above the branches of the corresponding trees. It is trees like these, nothing more literal, that provides the material for mental impressions. In summary, the medium of functional forms is able to furnish a common ground for the exchange of information between events and experiences and to supply a mode of comparison that connects any domain of objects with any domain of ideas.
In this work I intend to give a liberal interpretation to the issue of what kinds of forms are able to impress their shapes on the mind. I consider it likely that they can take the forms, among other things, of probability distributions, in other words, patterns of amplitude, density, frequency, intensity, or likely value that can be predicated of events in the world or impressions in the mind with equal felicity. If these forms are still too concretely cast, then still more formal forms are available. Abstracting from the contents of a strictly probabilistic interpretation, one is left with functions from domains of elementary events articulated in the world or existential experiences affecting the mind, respectively, to ranges of a common value, the height of which has the sole utility of indicating to different degrees the diverse elements under its dominion. In the resulting spaces of functions, forms of dispensation or patterns of distribution accumulate over the domains of external events and the domains of internal experiences, respectively, like crowns of foliage above the branches of the corresponding trees. It is trees like these, nothing more literal, that provides the material for mental impressions. In summary, the medium of functional forms is able to furnish a common ground for the exchange of information between events and experiences and to supply a mode of comparison that connects any domain of objects with any domain of ideas.
Granted the liberality of this interpretation, and given the looseness of this resulting constructions, while recognizing the general fallibility of all the mind's affections and impressions, and also remembering that the essences of some substantial objects are formal, relational, or structural rather than absolute, literal, or material, the force of common objections to "essential instructions" is blunted or diffused on these points, that is, the potential charges of essentialist and instructivist fallacies become defused in their application to these forms of distributed interpretation.
Granted the liberality of this interpretation, and given the looseness of this resulting constructions, while recognizing the general fallibility of all the mind's affections and impressions, and also remembering that the essences of some substantial objects are formal, relational, or structural rather than absolute, literal, or material, the force of common objections to essential instructions is blunted or diffused on these points, that is, the potential charges of essentialist and instructivist fallacies become defused in their application to these forms of distributed interpretation.
Given that reasonable interpretations are available for the language of mental impressions, that serve to make talk about mental impressions at least potentially sensible, then what explains the very real problems that nevertheless continue to arise from this usage? As far as I can detect, the real problem with the supposition of an "instructive" mechanism of transfer is a steady bias, arising especially in certain corners of the modern scene, toward "material" rather than "formal" interpretations of the "forms", the "patterns", or the "shapes" that are taken as being impressed on the mind.
Given that reasonable interpretations are available for the language of mental impressions, that serve to make talk about mental impressions at least potentially sensible, then what explains the very real problems that nevertheless continue to arise from this usage? As far as I can detect, the real problem with the supposition of an instructive mechanism of transfer is a steady bias, arising especially in certain corners of the modern scene, toward material rather than formal interpretations of the forms, the patterns, or the shapes that are taken as being impressed on the mind.
=====5.2.11.5. Of Signs and the Mind=====
=====5.2.11.5. Of Signs and the Mind=====
In the process of trying to clarify my initial description of inquiry, I worked my way back through several modern animadversions, credulous and critical at turns, to an original classical source for many of the ideas that are involved in it. In the process of attempting to understand this text, encountered as a foundation stone in the discussion of sign relations, I found myself invoking, almost reflexively, a number of distinctions, for instance, that between ''figure'' and ''letter'', as they are used to mark a manner of interpretation, and that between ''form'' and ''matter'', as they concern the content of an indication, and each distinction in its turn seemed to be necessary just in order to outline a sufficient indication of what I sense to be a proper reading of this text.
In the process of trying to clarify my ID of inquiry, I worked my way back through several modern animadversions, credulous and critical at turns, to an original classical source for many of the ideas that are involved in it. In the process of attempting to understand this text, encountered as a foundation stone in the discussion of sign relations, I found myself invoking, almost reflexively, a number of distinctions, for instance, that between "figure" and "letter", as they are used to mark a manner of interpretation, and that between "form" and "matter", as they concern the content of an indication, and each distinction in its turn seemed to be necessary just in order to outline a sufficient indication of what I sense to be a proper reading of this text.
But the mere formation and the occasional invocation of these words, no matter how familiar the sound of them, is of little benefit to my reader if I cannot explain the sense of them, whether long established meanings or any new gleanings that I intend, and the instrumentality intended for these distinctions can be of little use to anyone unless I can say, with regard to each conceivable distinction, how it is made or how I make it. In accordance with this reflection on the making of distinctions, I am thus led to ask: Who makes these distinctions, and how are they made? Are they made before us, by us, or after us?
But the mere formation and the occasional invocation of these words, no matter how familiar the sound of them, is of little benefit to my reader if I cannot explain the sense of them, whether long established meanings or any new gleanings that I intend, and the instrumentality intended for these distinctions can be of little use to anyone unless I can say, with regard to each conceivable distinction, how it is made or how I make it. In accordance with this reflection on the making of distinctions, I am thus led to ask: “Who makes these distinctions, and how are they made? Are they made before us, by us, or after us?”
I think I began innocently enough, with no predominating desire either to dispatch or else to vindicate any particular line of thought, but simply to trace the effects of certain ideas, and this means tracking them down to their sources, in whatever places they are to be found, whether ancient or modern, as well as trying to deduce or to foresee their consequences in theory or in action, whether for good or for ill. And now this form of investigation, more like a process of divestiture, brings me to an array of questions that I have only the slightest clues how to answer.
I think I began innocently enough, with no predominating desire either to dispatch or else to vindicate any particular line of thought, but simply to trace the effects of certain ideas, and this means tracking them down to their sources, in whatever places they are to be found, whether ancient or modern, as well as trying to deduce or to foresee their consequences in theory or in action, whether for good or for ill. And now this form of investigation, more like a process of divestiture, brings me to an array of questions that I have only the slightest clues how to answer.
For instance, consider the distinction between form and matter.
For instance, consider the distinction between form and matter.
No matter what distinction forms the interest of the moment, there is that which discerns, draws, finds, follows, grasps, makes, sees, or seizes the distinction in question, an experimental agency that might as well be called an "interpreter", a "maker", or an "observer" of that distinction. With regard to any form of distinction, the agency of a "distinguisher" or a "former" is a role that seems to suit what the Greeks fairly often described, but just barely hinted at, under the name of an "entelechy". In general, this is a somewhat mysterious designation, stemming from a complex of terms whose various connotations are commonly translated as "actuality" or "reality", and often as "actualization" or "realization", seeming to suggest "actualizer" or "realizer" for the duty of this agent. Sticking more literally to its etymology, the function of an "entelechy" can be taken to mean "that which has or is its end in itself", and thus "that which exists for its own sake" or "that which is complete as it is". Whether the interpreter actively creates the distinction as it is drawn or passively discovers the distinction as it is traced is not yet the issue of interest, and I leave this matter to a future distinction.
No matter what distinction forms the interest of the moment, there is that which discerns, draws, finds, follows, grasps, makes, sees, or seizes the distinction in question, an experimental agency that might as well be called an ''interpreter'', a ''maker'', or an ''observer'' of that distinction. With regard to any form of distinction, the agency of a ''distinguisher'' or a ''former'' is a role that seems to suit what the Greeks fairly often described, but just barely hinted at, under the name of an ''entelechy''. In general, this is a somewhat mysterious designation, stemming from a complex of terms whose various connotations are commonly translated as ''actuality'' or ''reality'', and often as ''actualization'' or ''realization'', seeming to suggest ''actualizer'' or ''realizer'' for the duty of this agent. Sticking more literally to its etymology, the function of an entelechy can be taken to mean “that which has or is its end in itself”, and thus “that which exists for its own sake” or “that which is complete as it is”. Whether the interpreter actively creates the distinction as it is drawn or passively discovers the distinction as it is traced is not yet the issue of interest, and I leave this matter to a future distinction.
The relevance of the distinction between form and matter can be traced, not solely by way of illustration, to another passage from Aristotle:
The relevance of the distinction between form and matter can be traced, not solely by way of illustration, to another passage from Aristotle:
: (Aristotle)
One should not let the phrases "tertium quid" or "third something" lead one astray, going so far as to think that an additional essence, a new kind of material, or a novel substance is implied, when it might be only a third way of being, mode of existence, degree of freedom, dimension of motion, or an extra role in a relation that is actually required.
One should not let the phrases ''tertium quid'' or ''third something'' lead one astray, going so far as to think that an additional essence, a new kind of material, or a novel substance is implied, when it might be only a third way of being, mode of existence, degree of freedom, dimension of motion, or an extra role in a relation that is actually required.
To this seminal account of interpretation the pragmatic theory of signs adds an array of general and specific elaborations, equipping it with a fully developed corpus of formal, instrumental, and material features. Since the pragmatic line of development is in some sense an alternative track to what is usually called the modern line, the naive enlightenment, or the cartesian tradition, and yet shares many aims and basic methods with this still current mode of inquiry, it is necessary to distinguish these different trends, to detect their different impacts on the present scene, and to discern their different imports for the future of inquiry. The accidental, intentional, and specific differences that the pragmatic theory of sign relations, in its currently developing form, is able to deploy over and above the ancient account, along with the differential circumstances that exist in the context of its present day applications, are taken up next, starting with the most salient augmentations and the most significant extensions of its overall lines of growth.
To this seminal account of interpretation the pragmatic theory of signs adds an array of general and specific elaborations, equipping it with a fully developed corpus of formal, instrumental, and material features. Since the pragmatic line of development is in some sense an alternative track to what is usually called the modern line, the naive enlightenment, or the cartesian tradition, and yet shares many aims and basic methods with this still current mode of inquiry, it is necessary to distinguish these different trends, to detect their different impacts on the present scene, and to discern their different imports for the future of inquiry. The accidental, intentional, and specific differences that the pragmatic theory of sign relations, in its currently developing form, is able to deploy over and above the ancient account, along with the differential circumstances that exist in the context of its present day applications, are taken up next, starting with the most salient augmentations and the most significant extensions of its overall lines of growth.
Some of the most important general features that mark out the pragmatic theory of sign relations from its original material are instrumental in character and arise largely due to changes in the "technological base", formally speaking, between the ancient and the present times, that is, by innovations in the formal languages and the technical methods that are made available for carrying out the discussion. Three of these general instrumental features are taken up next.
Some of the most important general features that mark out the pragmatic theory of sign relations from its original material are instrumental in character and arise largely due to changes in the technological base, formally speaking, between the ancient and the present times, that is, by innovations in the formal languages and the technical methods that are made available for carrying out the discussion. Three of these general instrumental features are taken up next.
# In conformity with the modern facility for thinking of relations in general in extensional terms, as collections of ordered n tuples of domain components that belong to the relation in question, current versions of the theory of signs render it easiest to think of each given sign relation as a particular collection of ordered triples. Elements of a sign relation are called ''elementary sign relations'' (ESRs), and the data of each given element of the sign relation can be represented as an ordered triple, of the form <math>(o, s, i),\!</math> that names its object, sign, and interpretant, respectively.
# Among the other props on the modern stage, the pragmatic theory of sign relations can make especially good use of the bounteous ''logics'' of relations and ''algebras'' of relative terms that are currently available, as expressed in any one of several symbolic calculi with approximately the power of predicate logic. Indeed, many of these algebras, calculi, and logics of relations received their first “modern&redquo; formulations in the work of C.S. Peirce, and in the very process of trying to deal with the problems presented by the classical theory of signs. As it happens, this coincidence of origins and this parallelism of derivations may help to account for the appearance of a quality of pre-established harmony that is presently manifested between the general subject of relations and the special subject of sign relations.
# Developments in other fields in the intervening times have caused the prevailing paradigms to shift a number of times. For starters, the lately recognized inescapability of participatory observation, and the multitude of constraints on knowledgeable action that the necessity of this contingency implies, that ought to have always been clear in marking the horizons of anthropology, economics, politics, psychology, and sociology, and the phenomenological consequences of this unavoidability that have recently forced themselves to the status of physical principles and tardily made their appearance in the symbolic rites of the attendant formalities, against all the fields of reluctance that physics can generate, and in spite of the full recalcitrance that its occasional ancillary, mathematics, can bring to heel. These cautions leave even the casual observer nowadays much more suspicious about declaring the self evident independence of diverse aspects and axes of experience, whether assuming the disentanglement of different features of experiential quality or presuming on the orthogonality of their coordinate dimensions of formal quantity, for instance, as represented by the aspects of particles versus waves, or the axes of space versus time. Features and dimensions of experience that appear as relevant or arise into salience at one level of action, exchange, or observation can disappear from the scene of relevant regard at other stages of participation and weigh imponderably on other scales of transaction. In relation to one another, aspects and axes of experience that appear unrelated just so long as they are considered at one level of interaction and perception may not preserve their appearance of indifference and independence if the scales of participation under consideration are radically shifted, whether up or down in their order of magnitude. As a result, the sort of consideration that makes a line of experience conspicuous as it falls on one plane of existence is seldom enough to draw it through every plane of being. In a related fashion, the brand of consideration whose bearing on an intermediate scale of treatment causes one to regard two features or dimensions of experience as ''moderately independent'' or as ''relatively orthogonal'' is rarely ever relevant to all levels of regard and is almost never enough to justify one's calling these aspects ''absolutely independent'' or to support one's calling these axes "perfectly orthogonal".
Next, I examine the more specific features of the pragmatic theory of sign relations, focusing on attributes that are augmented in the degrees of their development and that acquire a distinctive emphasis along with the extension and growth of this theory. These features happen to be material in character, that is, they concern the contents of individual sign relations, affecting the aspects of relational structure and the orders of relational complexity that become especially conspicuous from the pragmatic point of view. Two of these specific material features are taken up next.
Next, I examine the more specific features of the pragmatic theory of sign relations, focusing on attributes that are augmented in the degrees of their development and that acquire a distinctive emphasis along with the extension and growth of this theory. These features happen to be material in character, that is, they concern the contents of individual sign relations, affecting the aspects of relational structure and the orders of relational complexity that become especially conspicuous from the pragmatic point of view. Two of these specific material features are taken up next.
# Direct relation between objects and signs.
# Irreducibly triadic sign relations.
A few more things can now be said about the conditions that are usually taken for granted in the theoretical use of sign relations. Although it is often the case that the structure of the object domain is marked for reconstruction, part for part, in the partition of the syntactic domain, as one says, in the "divisions" of its "quotient structure", or equally, in the structure of its "semantic equivalence classes" (SEC's), which are also called its "semantic orbits" (SO's), it is advisable not to imagine, except in the most abstractly artifical and the most purely formal cases, that an object is "nothing but" an orbit of signs. In every situation of concrete or practical interest, the object domain is something that has a real existence, one that is "independent of" the syntactic domain to some degree, and to a degree of qualified independence that can be specified, for example, as "absolutely", "moderately, or "relatively". That is, an object exists in a manner that is more or less "independent of" both the signs and the interpretants that are used to talk and to think about it, as one sooner or later discovers in any real case where one is tempted to ignore the implications of this fact.
A few more things can now be said about the conditions that are usually taken for granted in the theoretical use of sign relations. Although it is often the case that the structure of the object domain is marked for reconstruction, part for part, in the partition of the syntactic domain, as one says, in the ''divisions'' of its ''quotient structure'', or equally, in the structure of its ''semantic equivalence classes'' (SECs), which are also called its ''semantic orbits'', it is advisable not to imagine, except in the most abstractly artificial and purely formal cases, that an object is “nothing but” an orbit of signs. In every situation of concrete or practical interest, the object domain is something that has a real existence, one that is independent of the syntactic domain to some degree, and to a degree of qualified independence that can be specified, for example, as ''absolutely'', ''moderately'', or ''relatively''. That is, an object exists in a manner that is more or less independent of both the signs and the interpretants that are used to talk and to think about it, as one sooner or later discovers in any real case where one is tempted to ignore the implications of this fact.
But this explanation of the status intended for objects only serves to elevate into prominence the subordinate question: What is meant by the relation "independent of"? Outside the realm of mathematics, where the necessity has long been recognized of declaring one's "independence" in the form of an explicit and public definition, one that makes clear the sense of the term that one plans to uphold, this is an issue that still manages to incite an uproarious confusion of "obvious" claims and often just as "obvious" counter claims, each of which is just as insistent in what it attributes to the terms of its relation as the actual basis for what it considers "evident" is kept implicit.
But this explanation of the status intended for objects only serves to elevate into prominence the subordinate question: What is meant by the relation ''independent of''? Outside the realm of mathematics, where the necessity has long been recognized of declaring one's independence in the form of an explicit and public definition, one that makes clear the sense of the term that one plans to uphold, this is an issue that still manages to incite an uproarious confusion of obvious claims and often just as obvious counter claims, each of which is just as insistent in what it attributes to the terms of its relation as the actual basis for what it considers evident is kept implicit.
One thing does appear certain, at least, once the issue is addressed: Whatever it means, and however it is qualified, the relation of being "independent of" does not mean a relation of being "not in relation to". After all, did I not just call this, with all due justice, a relation? Indeed, independently of all questions of independence, the very notion of there being a relation "not in relation to" is a self cancelling nullity. Perhaps the closest that one can approach to conceiving of relations like "not related to" or "not a relative of", in short, perhaps the simplest analogues or approximations to such a relation that one can devise are: "considered as not in relation to" or "treated as not in relation to", prompting the questions: "considered by who?" and "treated by who?", all of which goes to make it manifest that a triadic relation is the minimal support needed for any such brand of speculative relation.
One thing does appear certain, at least, once the issue is addressed: Whatever it means, and however it is qualified, the relation of being ''independent of'' does not mean a relation of being ''not in relation to''. After all, did I not just call this, with all due justice, a relation? Indeed, independently of all questions of independence, the very notion of there being a relation ''not in relation to'' is a self cancelling nullity. Perhaps the closest that one can approach to conceiving of relations like ''not related to'' or ''not a relative of'', in short, perhaps the simplest analogues or approximations to such a relation that one can devise are: ''considered as not in relation to'' or ''treated as not in relation to'', prompting the questions: ''considered by whom?'' and ''treated by whom?'', all of which goes to make it manifest that a triadic relation is the minimal support needed for any such brand of speculative relation.
In trying to reach a form of relation that is minimal in a certain regard, the analysis comes to a point where it is forced to reverse its direction and to synthesize a complex relation, one that possesses a higher arity than might be expected of a structure intended as a primitive rudiment. What is ultimately suggested is a triadic relation that formulates the idea of a "consideration", a "regard", or a "treatment". This involves an agent that acts as the overseer of the consideration, the regard, or the treatment in question along with a couple of other entities that fall in a dyadic relation to each other under this consideration, this regard, or this treatment. The way to treat this triadic relation as sparingly as possible, in regard to the level of consideration that is assigned to it, is to let the agency of this oversight ignore as much as it possibly can about all the relations that conceivably exist between the overseen pair, the couple of agents, entities, or objects that fall within its purview. Thus, the least that the overseer can manage to do is to mark a relation between the other two parties, without codifying, conveying, recording, or retaining any information about the particular kind of relation it is. At any rate, this is the best interpretation that I find myself able to contrive at present for "X regards Y as not in relation to Z".
In trying to reach a form of relation that is minimal in a certain regard, the analysis comes to a point where it is forced to reverse its direction and to synthesize a complex relation, one that possesses a higher arity than might be expected of a structure intended as a primitive rudiment. What is ultimately suggested is a triadic relation that formulates the idea of a ''consideration'', a ''regard'', or a ''treatment''. This involves an agent that acts as the overseer of the consideration, the regard, or the treatment in question along with a couple of other entities that fall in a dyadic relation to each other under this consideration, this regard, or this treatment. The way to treat this triadic relation as sparingly as possible, in regard to the level of consideration that is assigned to it, is to let the agency of this oversight ignore as much as it possibly can about all the relations that conceivably exist between the overseen pair, the couple of agents, entities, or objects that fall within its purview. Thus, the least that the overseer can manage to do is to mark a relation between the other two parties, without codifying, conveying, recording, or retaining any information about the particular kind of relation it is. At any rate, this is the best interpretation that I find myself able to contrive at present for “<math>X\!</math> regards <math>Y\!</math> as not in relation to <math>Z\!</math>”.
The preceding analysis may appear to lead up to a trivial point, but the argument just recounted is formally identical to a demonstration that is basic to pragmatic thinking, namely, that "we have no conception of the absolutely incognizable" (Peirce, CP 5.265). Whether or not one wishes to say that there are such things as the "absolutely incognizable", we have no conception of them. Any concept that we do have cannot truly be a concept "of" them, that is, it cannot be held to be "true" of them, since this all by itself would amount in fact to making them cognizable. The idea that a successful conception is intended by its very nature to result in a true concept is critical and crucial in this regard. If one merely wants to point out the triviality that we can have false concepts of anything we please, for example, the false concepts that are attached to the verbal formula "absolutely incognizable", then it is easy enough to stipulate that we are likely to have false conceits and misleading concepts about very many things indeed.
The preceding analysis may appear to lead up to a trivial point, but the argument just recounted is formally identical to a demonstration that is basic to pragmatic thinking, namely, that “we have no conception of the absolutely incognizable” (Peirce, CP 5.265). Whether or not one wishes to say that there are such things as the “absolutely incognizable”, we have no conception of them. Any concept that we do have cannot truly be a concept ''of'' them, that is, it cannot be held to be ''true'' of them, since this all by itself would amount in fact to making them cognizable. The idea that a successful conception is intended by its very nature to result in a true concept is critical and crucial in this regard. If one merely wants to point out the triviality that we can have false concepts of anything we please, for example, the false concepts that are attached to the verbal formula “absolutely incognizable”, then it is easy enough to stipulate that we are likely to have false conceits and misleading concepts about very many things indeed.
Since the pragmatic theory of sign relations welcomes partial symbols and verbal formulas of every species of description as well as mental impressions, concepts, and ideas of every genus and level of generation into the same broad class of entities that it takes as "signs", the idea of an object that is not the object of a sign imparts a formal impression within its material that is identical, or at least indistinguishable in the structure of the relations that it suggests, to the idea of a relation that fits the verbal formula or the specious specification "not in relation to". A rigorous critique of these very ideas is required in order to prevent their specious impressions from flowering into malign oppressions that obsess both the mind and the spirit. The pragmatic critique of prior philosophy and the pragmatic theory of signs are intended, in part, precisely to address this task of "weeding out" delusive ideas.
Since the pragmatic theory of sign relations welcomes partial symbols and verbal formulas of every species of description as well as mental impressions, concepts, and ideas of every genus and level of generation into the same broad class of entities that it takes as signs, the idea of an object that is not the object of a sign imparts a formal impression within its material that is identical, or at least indistinguishable in the structure of the relations that it suggests, to the idea of a relation that fits the verbal formula or the specious specification ''not in relation to''. A rigorous critique of these very ideas is required in order to prevent their specious impressions from flowering into malign oppressions that obsess both the mind and the spirit. The pragmatic critique of prior philosophy and the pragmatic theory of signs are intended, in part, precisely to address this task of weeding out delusive ideas.
=====5.2.11.6. Questions of Justification=====
=====5.2.11.6. Questions of Justification=====
There is a singular misunderstanding of this pragmatic perspective that needs to have its equally singular but bad effects blunted at this point. There is a definition of good conduct that is implicit in the pragmatic ordering of the normative sciences, but it is a characterization whose true import is frequently misinterpreted by seizing too quickly on one partial formulation or another of its full intention. If the pragmatic definition of good conduct is properly considered, in light of the full circumstances of its intended application, it does not lead to the bad end often associated with the fallacy of “the ends justifying the means”. In fact, the bad effects accountable to even so facile a formulation of the pragmatic desideratum, can be seen to result, in actual practice, from a faulty application of its own stated principle, going even so far as to ignore the expressly indicated pluralities of “ends” and “means”. But that is merely a verbal scruple. In the end, it does not matter whether one speaks of “ends” or the “end”. What really matters is that the term not be interpreted in too singular a way, but only with regard to the whole conceivable effect of each contemplated form of conduct.
There is a singular misunderstanding of this pragmatic perspective that needs to have its equally singular but bad effects blunted at this point. There is a definition of good conduct that is implicit in the pragmatic ordering of the normative sciences, but it is a characterization whose true import is frequently misinterpreted by seizing too quickly on one partial formulation or another of its full intention. If the pragmatic definition of good conduct is properly considered, in light of the full circumstances of its intended application, it does not lead to the bad end often associated with the fallacy of "the ends justifying the means". In fact, the bad effects accountable to even so facile a formulation of the pragmatic desideration, can be seen to result, in actual practice, from a faulty application of its own stated principle, going even so far as to ignore the expressly indicated pluralities of "ends" and "means". But that is merely a verbal scruple. In the end, it does not matter whether one speaks of "ends" or the "end". What really matters is that the term not be interpreted in too singular a way, but only with regard to the whole conceivable effect of each contemplated form of conduct.
Accordingly, in order to counteract the brands of bad faith that arise from ignoring this holistic sense, one needs to remember that an action has many consequences. Since an action has a multitude of results, a plurality of which conceivably contribute in significant ways to a truly balanced judgment of its goodness, an action is good only in so far as all of these results are good. If an action, intended primarily for the purpose of achieving a particular good, however successful it is toward that end, nevertheless has collateral consequences that are not so good, then the action is to that degree not so good as it otherwise might be. These are moral trivialities, of course, but just as easily trifled with, and apparently as likely to slip into oblivion for all concerned as they are likely to be slighted by some. But this is the nature of singularity.
Accordingly, in order to counteract the brands of bad faith that arise from ignoring this holistic sense, one needs to remember that an action has many consequences. Since an action has a multitude of results, a plurality of which conceivably contribute in significant ways to a truly balanced judgment of its goodness, an action is good only in so far as all of these results are good. If an action, intended primarily for the purpose of achieving a particular good, however successful it is toward that end, nevertheless has collateral consequences that are not so good, then the action is to that degree not so good as it otherwise might be. These are moral trivialities, of course, but just as easily trifled with, and apparently as likely to slip into oblivion for all concerned as they are likely to be slighted by some. But this is the nature of singularity.
From this pragmatic point of view, it is possible to deal with many questions of justification by invoking the contexts of amenities that surround the reasoning process, outside of which it cannot be pursued and without which it makes no sense. In this frame, one can say that "reason" is justified by its alternative, that is to say, by "unreason", but only in the peculiar sense that reason is justified by considering the properties of unreason, by contemplating the ethical consequences of acting according to its dictates, and by recognizing the aesthetic fact that one does not like these consequences. Of course, this strategy of argument does not amount to a justification of "reason" in any positive sense of the word "justification". In logical force it is tantamount to the aesthetic tautology of simply insisting that one likes what one likes, but I see nothing unreasonable about this "form of justification" (FOJ), at least, as it is employed in this case. The whole point of noticing the placement of logic within the concentric spheres of ethics and aesthetics is that logical arguments depend on prior considerations of ethical and aesthetic casts, so a logical argument that merely recovers and iterates this context is acting in conformity with the only objective it knows.
From this pragmatic point of view, it is possible to deal with many questions of justification by invoking the contexts of amenities that surround the reasoning process, outside of which it cannot be pursued and without which it makes no sense. In this frame, one can say that reason is justified by its alternative, that is to say, by unreason, but only in the peculiar sense that reason is justified by considering the properties of unreason, by contemplating the ethical consequences of acting according to its dictates, and by recognizing the aesthetic fact that one does not like these consequences. Of course, this strategy of argument does not amount to a justification of reason in any positive sense of the word ''justification''. In logical force it is tantamount to the aesthetic tautology of simply insisting that one likes what one likes, but I see nothing unreasonable about this ''form of justification'' (FOJ), at least, as it is employed in this case. The whole point of noticing the placement of logic within the concentric spheres of ethics and aesthetics is that logical arguments depend on prior considerations of ethical and aesthetic casts, so a logical argument that merely recovers and iterates this context is acting in conformity with the only objective it knows.
By way of concrete examples, FOJ's of a negative character frequently arise in situations that are affected by a genuine dilemma, where it is necessary to choose just one action from a set of two or more actions, where it is impossible to do nothing and impossible to do everything, and where each action excludes all the others. At such a juncture the structure of that very situation, or a reference to it as described, is itself a sufficiently valid FOJ for choosing some action, even if not yet a full justification for any one specific choice. If an agent challenged: "Why did you do that?", responds: "It was necessary to do something!", then that is "just" as far as it goes, to a general not a specific extent. In summary, one finds that there are FOJ's of a negative character, that proceed by the rejection of an alternative, but that are perfectly valid in their doing so. These FOJ's of a negative character exist in contrast to the more familiar FOJ's, at least, the more often expressed FOJ's, all of which are positive and transitive in character, identical or analogous to the various forms of logical implication and logical consequence.
By way of concrete examples, FOJs of a negative character frequently arise in situations that are affected by a genuine dilemma, where it is necessary to choose just one action from a set of two or more actions, where it is impossible to do nothing and impossible to do everything, and where each action excludes all the others. At such a juncture the structure of that very situation, or a reference to it as described, is itself a sufficiently valid FOJ for choosing some action, even if not yet a full justification for any one specific choice. If an agent challenged: “Why did you do that?”, responds: “It was necessary to do something!”, then that is “just” as far as it goes, to a general not a specific extent. In summary, one finds that there are FOJs of a negative character, that proceed by the rejection of an alternative, but that are perfectly valid in their doing so. These FOJs of a negative character exist in contrast to the more familiar FOJs, at least, the more often expressed FOJs, all of which are positive and transitive in character, identical or analogous to the various forms of logical implication and logical consequence.
The dictum to the effect that "there is no argument in matters of taste", for what it is worth, enjoins an "argument to", not an "argument from". An aesthetic principle or judgment, that I prefer to live, for example, can have definite logical consequences, even if every justification I can expect to find for it is ultimately circular, tautologous, or logically speaking, trivial in form: "Why do I like it?" — "Just because I do!" To me, this cannot help but seem, if challenged in a case of this kind, to be a perfectly adequate and a reasonably sufficient answer. But to maintain this reason means to preserve this life, and that in its turn has decidedly logical consequences. It is likely that artisans and engineers have an easier time understanding this pragmatic principle, what it means in active practice and the wisdom it holds in general, than many varieties of logicians, mathematicians, philosophers, and scientists, although if I say that I pick my axioms with an eye to the beauty of what they can shape, in other words, that I select my logical and mathematical principles for what are essentially aesthetic reasons, then there are evidently some in these guilded ilks who already know what I mean.
The dictum to the effect that ''there is no argument in matters of taste'', for what it is worth, enjoins an ''argument to'', not an ''argument from''. An aesthetic principle or judgment, that I prefer to live, for example, can have definite logical consequences, even if every justification I can expect to find for it is ultimately circular, tautologous, or logically speaking, trivial in form: “Why do I like it?” — “Just because I do!” To me, this cannot help but seem, if challenged in a case of this kind, to be a perfectly adequate and a reasonably sufficient answer. But to maintain this reason means to preserve this life, and that in its turn has decidedly logical consequences. It is likely that artisans and engineers have an easier time understanding this pragmatic principle, what it means in active practice and the wisdom it holds in general, than many varieties of logicians, mathematicians, philosophers, and scientists, although if I say that I pick my axioms with an eye to the beauty of what they can shape, in other words, that I select my logical and mathematical principles for what are essentially aesthetic reasons, then there are evidently some in these guilded ilks who already know what I mean.
Socrates not only used irony but was so dedicated to irony that he himself succumbed to it.
{| align="center" cellpadding="0" cellspacing="0" width="90%"
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<p>Socrates not only used irony but was so dedicated to irony that he himself succumbed to it.</p>
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| align="right" | Kierkegaard, ''The Concept of Irony'', [Kier, 5]
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A person who drinks an extract of hemlock for what he says is a reason of logic either suffers from a confusion of priorities or acts according to a higher aesthetic than that of saving his own small portion of life. But a person who drains the tendered glass for lack of lighting quickly enough on a reason why not is a person who has let his extract of logic turn to a poison in its own right.
A person who drinks an extract of hemlock for what he says is a reason of logic either suffers from a confusion of priorities or acts according to a higher aesthetic than that of saving his own small portion of life. But a person who drains the tendered glass for lack of lighting quickly enough on a reason why not is a person who has let his extract of logic turn to a poison in its own right.
=====5.2.11.7. The Experience of Satisfaction=====
=====5.2.11.7. The Experience of Satisfaction=====
{| align="center" border="0" cellpadding="0" cellspacing="0" width="90%"
Die unbegreiflich hohen Werke
| Die unbegreiflich hohen Werke
Sind herrlich wie am ersten Tag.
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| Sind herrlich wie am ersten Tag.
The world's unwithered countenance
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Is bright as on the earliest day.
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| The world's unwithered countenance
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| Is bright as on the earliest day.
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| width="60%" | || Goethe, ''Faust'', …,
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| width="60%" | || quoted in Weyl, ''The Open World'', [Weyl, 29].
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With these considerations freshly in mind, it is possible to return to the more immediate questions:
: Why is it useful to keep a store of memory?
: How does a record of past experiences serve an agent in meeting its present goals and thereby in achieving future satisfactions?
Assuming that an agent, however accidentally, elliptically, obliquely, occasionally, partially, or transiently it may happen, ever experiences a state of satisfaction, as reflects its achievement of one of its objects or as marks its identity with one of its goals, then it is likely to be useful for that agent to try to keep track of all the incidental experiences that accompany or surround this "experience of satisfaction" (EOS). Because the questions of causal order and even of purely temporal simultaneity are difficult in general to resolve in real time, in medias res, it is advisable for the agent not to focus too fixedly on trying to sort out the precedents from the consequents, at least, at first. But why is it likely to be useful? And what does it mean to be useful? Responding to these questions requires another apparent departure, as follows.
Assuming that an agent, however accidentally, elliptically, obliquely, occasionally, partially, or transiently it may happen, ever experiences a state of satisfaction, as reflects its achievement of one of its objects or as marks its identity with one of its goals, then it is likely to be useful for that agent to try to keep track of all the incidental experiences that accompany or surround this "experience of satisfaction" (EOS). Because the questions of causal order and even of purely temporal simultaneity are difficult in general to resolve in real time, in medias res, it is advisable for the agent not to focus too fixedly on trying to sort out the precedents from the consequents, at least, at first. But why is it likely to be useful? And what does it mean to be useful? Responding to these questions requires another apparent departure, as follows.
If there is any consistency to experience, in other words, any form of lawful relationship between one sample of experience and other samples of experience, then it follows that almost any kind of memory structure, any facility for attention and retention that an agent can contrive to organize the interaction between transient experience and the orders of its more persistent signs, any faculty that allows an agent to note the sundry aspects of a satisfying experience or the circumstantial details of a satisfying situation, any organization of processes that permits an agent to fashion periodic or persistent notes of the tangent experiences that surround an EOS, whether these stores are internal to its initially given body of resources or external to its innate endowment, is likely to be of service in achieving future satisfactions. Properly organized for quick access, the whole index of past experience can serve as a catalyst for future achievements, in other words, it can act on the whole as the sort of sign that is conducive to actualizing its object.
If there is any consistency to experience, in other words, any form of lawful relationship between one sample of experience and other samples of experience, then it follows that almost any kind of memory structure, any facility for attention and retention that an agent can contrive to organize the interaction between transient experience and the orders of its more persistent signs, any faculty that allows an agent to note the sundry aspects of a satisfying experience or the circumstantial details of a satisfying situation, any organization of processes that permits an agent to fashion periodic or persistent notes of the tangent experiences that surround an EOS, whether these stores are internal to its initially given body of resources or external to its innate endowment, is likely to be of service in achieving future satisfactions. Properly organized for quick access, the whole index of past experience can serve as a catalyst for future achievements, in other words, it can act on the whole as the sort of sign that is conducive to actualizing its object.
One may well ask: Is there any form of lawful relationship between one sample of experience and other samples of experience? To say "yes" too quickly is practically vacuous, that is, it is empty of anything beyond the vaguest hopes of an implication for action, until one is willing to risk the assumption of a specific form of lawful relationship. For the sake of proposing a non trivial stake, what one needs and desires is an "informative" form of lawful relationship. I am not making any form of fixed assumption here, but merely contemplating the forms of hypotheses that I am able to consider as possible. I admit to occasionally having experiences that cause me to question all the more frequently exploited answers to this question, that tempt me to say "no" even to this modest quantum of presumption, but then I note that it is particular varieties of experience that lead me to say this and specific brands of laws that I am led to question. Then I notice that all the forms of contrariety, disagreement, discord, discrepancy, disharmony, disparity, dispersion, dissension, distribution, diversification, incongruity, and opposition that I encounter at these junctures are themselves distinctions with a difference, and each in its way renders a generic form of distinction, "which, taken at the flood, leads on to fortune", to wit, a wealth of unsuspected approaches to the problems that positive experience poses. Without being tempted to classify or to enumerate the full diversity of logical forms by which differing samples of experience come to grate on and to grind against each other, it is possible at this point to notice their essentially differential, negative, and oppositional characters.
One may well ask: Is there any form of lawful relationship between one sample of experience and other samples of experience? To say ''yes'' too quickly is practically vacuous, that is, it is empty of anything beyond the vaguest hopes of an implication for action, until one is willing to risk the assumption of a specific form of lawful relationship. For the sake of proposing a non trivial stake, what one needs and desires is an ''informative'' form of lawful relationship. I am not making any form of fixed assumption here, but merely contemplating the forms of hypotheses that I am able to consider as possible. I admit to occasionally having experiences that cause me to question all the more frequently exploited answers to this question, that tempt me to say ''no'' even to this modest quantum of presumption, but then I note that it is particular varieties of experience that lead me to say this and specific brands of laws that I am led to question. Then I notice that all the forms of contrariety, disagreement, discord, discrepancy, disharmony, disparity, dispersion, dissension, distribution, diversification, incongruity, and opposition that I encounter at these junctures are themselves distinctions with a difference, and each in its way renders a generic form of distinction, “which, taken at the flood, leads on to fortune”, to wit, a wealth of unsuspected approaches to the problems that positive experience poses. Without being tempted to classify or to enumerate the full diversity of logical forms by which differing samples of experience come to grate on and to grind against each other, it is possible at this point to notice their essentially differential, negative, and oppositional characters.
In this way, I arrive at the conclusion that ''forms of negation'' (FONs), or fundamentally negative logical relations, are unavoidable necessities, needed to anchor any adequate basis for stating the forms of interaction among different samples of experience. One finds, instead of a positive foundation, that irreducibly negative operations are inescapable notions, needed to support any satisfactory system of notations for detailing the collisions and the collusions that particles of experience impart to one another. In spite of the aura of negativity that chances to shade their logical aspects, to color their evidential impacts, and to weigh against their positive receptions, the counter exemplary characters and conducts of these bearings of experience on experience do, at a minimum, contrive to convey “informative forms of lawful relationship between one sample of experience and other samples of experience”.
The circumstance that absence, necessity, and privation are the mothers of invention, possibility, and plenitude is a difficult fact of logic to accustom oneself to, apparently because of the mind's innate blind spots in regard to its own nature and partly due to the mind's acquired bias in favor of positive relationships. Against these blocks and in accord with this bias, the aspects of nullity and vacuity that arise in respect of logical FONs are frequently responsible for leading the mind astray, for instance, into supposing that these FONs are:
# Purely derivative abstractions from wholly positive contents and structures of experience,
# Partially selective extractions from primary materials of experience and primitive elements of reasoning,
# Secondary, tertiary, and higher order constructions that are based on and built from basically positive forms of empirical and rational connection, and
# Wholly dependent for their practical utility and their rational justification on contents of positive experience to fill out their sparingly minimal forms.
By way of contrast, it is possible to identify a couple of dimensions along which the variety of clarification tasks can be classified into coherent associations among themselves and coordinated with each other.
By way of contrast, it is possible to identify a couple of dimensions along which the variety of clarification tasks can be classified into coherent associations among themselves and coordinated with each other.
<ol style="list-style-type:decimal">
<li><p>One interpretation of the clarification task fixes the object and the class of signs that figure in as implied arguments of the operation, and thus it understands the task as a process of refining the quality of significance that stems from the individual signs, that is, developing a clearer interpretant for each sign given in the input class. I refer to this brand of clarification as a ''modeling'' process, for several reasons:</p></li>
<ol style="list-style-type:lower-latin">
<li><p>Speaking of signs in the generic sense, this mode of clarification process involves the finding or the making of model signs to serve as their clarified interpretants. In other words, it takes in signs of an arbitrary quality of clarity and replaces them with their ''canonical'', ''normal'', or ''standard'' equivalents, ones that have an improved or optimal level of clarity.</p></li>
<li><p>Speaking of signs in the sense of logical expressions, this mode of clarification process involves the detection, enumeration, and organization of their logical "models", that is, their logically satisfying interpretations.</p></li>
</ol>
<p>Overall, this brand of clarification can be viewed a purely cognitive, intellectual, syntactic, or rational process, one that goes on in the absence of any interaction with the object domain beyond the initial sample of signs.</p>
<li><p>Another interpretation of the clarification task allows the object, or the information that the object avails of itself, to change over time. It is not that agents always have a lot of choice in the matter of whether changes occur or what changes take place, but only that they do have the option to envision the possibility of changes in the objects or the data, and accordingly to contrive systematic ways of tracking these changes and accounting for the developments of objects and signs through time. This rendition of the general requirement to “increase the clarity of the signs that the agent possesses about the object” comprehends the task of clarification as a matter of increasing the quantity of the agent's possessions in that regard, and it leads to a class of strategies in which agents proceed by gathering each new sign that they find of the object into the class of signs that forms their sample.</p></li>
</ol>
</pre>
=====5.2.11.8. An Organizational Difficulty=====
=====5.2.11.8. An Organizational Difficulty=====
<pre>
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Moreover, I did not wish to begin to reject completely any of the opinions which might have slipped earlier into my mind without having been introduced by reason, until I had first given myself enough time to make a plan of the work I was undertaking, and to seek the true method of arriving at knowledge of everything my mind was capable of grasping.
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<p>Moreover, I did not wish to begin to reject completely any of the opinions which might have slipped earlier into my mind without having been introduced by reason, until I had first given myself enough time to make a plan of the work I was undertaking, and to seek the true method of arriving at knowledge of everything my mind was capable of grasping.</p>
|-
| align="right" | Rene Descartes, ''Discourse on Method'', [Des1, 39-40]
|}
...
At this point in my text I run into what I think of as an ''organizational difficulty'' (OD). I have already written sixty plus pages of this text and, if the stacks of notes and previous drafts that I find around me are any evidence, I am likely to write many pages more. …
=====5.2.11.9. Pragmatic Certainties=====
=====5.2.11.9. Pragmatic Certainties=====
This brings me to the point of asking: What does ''certainty'' mean in practice, that is, what meanings can be revealed for the concept if one attempts to translate the intentions behind it into operational terms? Once one bothers to ask this eminently practical question, it becomes reasonably clear almost immediately that no brand of absolute certainty is ever in required practice. For practical purposes, only a moderate amount of certainty is demanded, just enough for a particular agent to settle on a particular course of action. A question about the kind of certainty expected or the level of certainty needed in order to make a decision is itself an interpretive issue. In other words, no matter whether its instances remain to be decided on a case by case basis, or whether a general rule can be formed to cover them, their resolution occurs in a manner that retains an irreducible degree of arbitrariness about it, since it must relate to the degrees of freedom possessed by the agents who arbitrate the matter in question. In the final analysis, this is an issue that devolves upon the nature and the constitution of the very form of agency that finds itself concerned with the question and exerts itself according to its interest in the action. Namely and solely, this form of agency can be comprised of nothing other than the particular agents and the communities of agents who are compelled or inspired to act at the moment in question.
This brings me to the point of asking: What does "certainty" mean in practice, that is, what meanings can be revealed for the concept if one attempts to translate the intentions behind it into operational terms? Once one bothers to ask this eminently practical question, it becomes reasonably clear almost immediately that no brand of absolute certainty is ever in required practice. For practical purposes, only a moderate amount of certainty is demanded, just enough for a particular agent to settle on a particular course of action. A question about the kind of certainty expected or the level of certainty needed in order to make a decision is itself an interpretive issue. In other words, no matter whether its instances remain to be decided on a case by case basis, or whether a general rule can be formed to cover them, their resolution occurs in a manner that retains an irreducible degree of arbitrariness about it, since it must relate to the degrees of freedom possessed by the agents who arbitrate the matter in question. In the final analysis, this is an issue that devolves upon the nature and the constitution of the very form of agency that finds itself concerned with the question and exerts itself according to its interest in the action. Namely and solely, this form of agency can be comprised of nothing other than the particular agents and the communities of agents who are compelled or inspired to act at the moment in question.
The idea that certainty is needed to begin, whether to start thinking or to get moving in any direction of conduct, is one of the most paralyzing traps that the mind can let itself fall into. This is why the pragmatic theory of inquiry emphasizes uncertainty as the literal start of inquiry, since there is certainly no difficulty about the mind finding itself in a state of uncertainty. Thus, there is no scarcity of events to throw the mind into confusion, no trouble at all getting into trouble, and so this renders the whole fabric of one's experience rife with moments of doubt. But what is the mind to make of this dubious resource, and what is the ultimate good of noticing this abundance of ambivalence in the mind?
The idea that certainty is needed to begin, whether to start thinking or to get moving in any direction of conduct, is one of the most paralyzing traps that the mind can let itself fall into. This is why the pragmatic theory of inquiry emphasizes uncertainty as the literal start of inquiry, since there is certainly no difficulty about the mind finding itself in a state of uncertainty. Thus, there is no scarcity of events to throw the mind into confusion, no trouble at all getting into trouble, and so this renders the whole fabric of one's experience rife with moments of doubt. But what is the mind to make of this dubious resource, and what is the ultimate good of noticing this abundance of ambivalence in the mind?
There is much that is curious in the picture of uncertainty that I just presented. The paradoxical phrase "certainly no difficulty", that seemed to pop up from nowhere in my description of the situation, is evidently an artifact of reflection, that is, due to the reflective character of the description but not an element of the situation described. Specifically, it focuses on what appears at first to be a purely incidental triviality: How easy it is to find oneself in a state of uncertainty. More carefully, since to "find oneself" may be still too much to expect at such an early stage of the game, it may be said: How easy it is to be for the moment or to end up momentarily in a state of uncertainty. And yet, with yet another reflection, one is forced to ask: To what exactly, whether an aspect of the original situation, a newly introduced amendment to it, or a newly generated outlook on the situation, do all these attributions of certainty, ease, freedom from trouble, and lack of difficulty apply? Since it seems a contradiction to attribute these predicates to the problematic state of uncertainty itself, that is to say, they are not what's the matter in the original situation, they must belong either to the attitude of approach that is capable of reflection, to the ensuing state that is entered on reflection, or to the manner of viewing the whole situation.
There is much that is curious in the picture of uncertainty that I just presented. The paradoxical phrase “certainly no difficulty”, that seemed to pop up from nowhere in my description of the situation, is evidently an artifact of reflection, that is, due to the reflective character of the description but not an element of the situation described. Specifically, it focuses on what appears at first to be a purely incidental triviality: How easy it is to find oneself in a state of uncertainty. More carefully, since to "find oneself" may be still too much to expect at such an early stage of the game, it may be said: How easy it is to be for the moment or to end up momentarily in a state of uncertainty. And yet, with yet another reflection, one is forced to ask: To what exactly, whether an aspect of the original situation, a newly introduced amendment to it, or a newly generated outlook on the situation, do all these attributions of certainty, ease, freedom from trouble, and lack of difficulty apply? Since it seems a contradiction to attribute these predicates to the problematic state of uncertainty itself, that is to say, they are not what's the matter in the original situation, they must belong either to the attitude of approach that is capable of reflection, to the ensuing state that is entered on reflection, or to the manner of viewing the whole situation.
Thus, it is possible to distinguish between two collections of properties, or, if one prefers, between two different applications of the same set of predicates: (1) those that affect the state of inquiry, its matter, and (2) those that affect the attitude toward it, the manner of regarding it, whether of absorption and irreflection or reflection and understanding. In order to keep track of this distinction, I introduce the designations of "lower order" (LO) and "higher order" (HO) properties, attitudes, or applications of predicates.
Thus, it is possible to distinguish between two collections of properties, or, if one prefers, between two different applications of the same set of predicates:
# Those that affect the state of inquiry, its matter, and
# Those that affect the attitude toward it, the manner of regarding it, whether of absorption and irreflection or reflection and understanding.
In order to keep track of this distinction, I introduce the designations of ''lower order'' (LO) and ''higher order'' (HO) properties, attitudes, or applications of predicates.
What accounts for the fact that one way to certainty, the ostensibly "higher" order, so often gets favored to the exclusion of the other? Perhaps it is something in the nature of the one track mind that only one brand of certainty can be pursued at a time. Perhaps it is partly due to the implicit judgments of "lower" and "higher" and partially on account of the adventitious implications that cannot help but slip into their making. Although these terms originally attach themselves to the discussion as convenient labels, intended solely to mark the sides of a purely formal distinction, and in spite of all the arbitrary characters that go into their nominal conventions, the nature of the associative mind is such that these tokens are almost bound to mount up in time to the point where they come to represent judgments of value, to symbolize in intuitively suggestive or in strictly illicit manners something beyond their original intentions, and thus to connote guilt or gilt by means of their informal associations. Absurd, I know, almost as if the even more innocuous words "left" and "right" could come to represent significant value judgments. Still, it happens.
“Aha!” you might say, here is the hidden certainty that is needed to begin the inquiry, the initial knowledge of its true motive force that makes the whole process of inquiry feasible, the unshakable faith in its prime mover that is required to rest before the rest can get started, or the ultimate security that is necessary to sustain the entire endeavor. But it is not that, not yet. The particular brand of HO certainty that arises in this situation is actually of very little use in resolving the original uncertainty. Although it can provide a modicum of security, a small peace of mind, and serve as a sop to Cerberus at critical times, the invitations to this escape can be as distracting as the delights of its certainties are in fact seductive, and the exercise of this method to the exclusion of risking the perils of real experience can just as easily become the main obstruction to the further progress of inquiry.
This business of ''being certain that one is uncertain'', the enterprises of reasoning that vie to capitalize on its purely derivative securities, the foundations of thought that try to indemnify themselves against all risk and against all hope through the guarantees of its instruments, the certificates of its stocks, and the surety of its bonds, the companies of philosophers, incorporated and limited, who leave their precious earnings so heavily invested in the specious lightness of its bearing, and all the subsidiary entertainments that are produced in pursuit of this spectacle, that grow in the absence of more penetrating lights to delight the hosts of spectators, to enrich the parasites of apparent productivity, that accrue in lieu of more genuine profits to all the participants and their silent partners who count themselves party to this form of gamble, and that provide nothing more than a nominal incentive, both for those who stake their personal fortunes on the receipts of the intervening days and those who bet their pari mutuel interests on the outcome of running along this track — this entire business, that strives to busy itself at any cost whatsoever, to protect its investment for its own sake, and to insure its continuance by means of any excuse it can arrange for itself, eventually leads to the following strategy: to institute a discipline whose rationale is precisely that of issuing warrants for unnamed and probably unnameable apprehensions, of handing down sealed indictments whose principals on principle remain as impeccable as they are obscure, and of rendering forms of certification for forms of belief that have already surrendered their original contents — this tiresome business can easily become so all consuming and global in its sphere of influence, while curiously remaining so provincial and local in its motives, that it totally derails the original train of thought.
What accounts for the fact that one way to certainty, the ostensibly “higher” order, so often gets favored to the exclusion of the other? Perhaps it is something in the nature of the one track mind that only one brand of certainty can be pursued at a time. Perhaps it is partly due to the implicit judgments of “lower” and “higher” and partially on account of the adventitious implications that cannot help but slip into their making. Although these terms originally attach themselves to the discussion as convenient labels, intended solely to mark the sides of a purely formal distinction, and in spite of all the arbitrary characters that go into their nominal conventions, the nature of the associative mind is such that these tokens are almost bound to mount up in time to the point where they come to represent judgments of value, to symbolize in intuitively suggestive or in strictly illicit manners something beyond their original intentions, and thus to connote guilt or gilt by means of their informal associations. Absurd, I know, almost as if the even more innocuous words ''left'' and ''right'' could come to represent significant value judgments. Still, it happens.
As a guard against the deleterious effects that frequently emerge from the drawing of a distinction between LO and HO attitudes of certainty, no matter whether the division concerns the attributions of properties or the applications of predicates, and that commonly arise from making the various lines of LO and HO tracks express enough to carry between them a significant import but not equal enough for both to carry their share of the moment, I must take care that the tracks laid down in the building of a RIF, and all the actions conducted on their basis, are always adequate to facilitating both levels of inquiry in parallel.
As a guard against the deleterious effects that frequently emerge from the drawing of a distinction between LO and HO attitudes of certainty, no matter whether the division concerns the attributions of properties or the applications of predicates, and that commonly arise from making the various lines of LO and HO tracks express enough to carry between them a significant import but not equal enough for both to carry their share of the moment, I must take care that the tracks laid down in the building of a RIF, and all the actions conducted on their basis, are always adequate to facilitating both levels of inquiry in parallel.
Triadic relations are a staple element of architecture that can serve the purpose of coordinating LO and HO inquiries, since a triadic relation can incorporate the dyadic relation that describes the transition from one state of inquiry to a subsequent state of inquiry, while still keeping track of its relationship to developments occurring on the other track. This allows the orders of developments taking place within each inquiry, and the sequences of states extracted from their processes, to proceed uninterrupted, but not uninterpreted, by each other's concerns, and to exhibit a partial independence, but an adequate correlation, with each other's progress.
Triadic relations are a staple element of architecture that can serve the purpose of coordinating LO and HO inquiries, since a triadic relation can incorporate the dyadic relation that describes the transition from one state of inquiry to a subsequent state of inquiry, while still keeping track of its relationship to developments occurring on the other track. This allows the orders of developments taking place within each inquiry, and the sequences of states extracted from their processes, to proceed uninterrupted, but not uninterpreted, by each other's concerns, and to exhibit a partial independence, but an adequate correlation, with each other's progress.
In order to carry this discussion of certainty through with a maximum of ease, I need to find a battery of descriptive terms for the situation of uncertainty that is neutral with respect to two interpretations, that covers with equal facility the two kinds of uncertainty that one usually faces in a situation: (1) uncertainty about what is true in a situation, and (2) uncertainty about what to do in a situation. Along these lines, I describe the typical situation of uncertainty, encompassing both kinds of doubt that are fraught with peril for an agent, as "junctures".
In order to carry this discussion of certainty through with a maximum of ease, I need to find a battery of descriptive terms for the situation of uncertainty that is neutral with respect to two interpretations, that covers with equal facility the two kinds of uncertainty that one usually faces in a situation: (1) uncertainty about what is true in a situation, and (2) uncertainty about what to do in a situation. Along these lines, I describe the typical situation of uncertainty, encompassing both kinds of doubt that are fraught with peril for an agent, as ''junctures''.
For the sake of a convenient classification, I label the juncture that presents a problematic phenomenon, a surprising or unexpected state of affairs, with the generic name of a ''surprise'', and I label the juncture that presents a phenomenal problem, a demanding or unintended state of affairs, with the generic name of a ''problem''. Junctures do not always sort themselves out into cases that are clearly one or the other type, but when they do it simplifies the manners of addressing, approaching, and ultimately resolving the difficulties they present for the agent.
# If it is the aspect of a ''surprise'' that is dominant at a juncture, or the role of a spectator that is prominent for an agent, then the juncture is resolved, in its theoretical aspects, by finding an ''explanation'', a statement expressing a way of looking at the juncture that renders it less of a surprise.
# If it is the aspect of a ''problem'' that is dominant at a juncture, or the role of an actor that is prominent for an agent, then the juncture is resolved, in its theoretical aspects, by finding a ''plan of action'', a statement expressing a way of moving from the juncture that renders it less of a problem. Of course, it remains for the plan or theoretical resolution to be carried out in practice before the problem itself can disappear.
If the uncertainty that one experiences in facing a juncture reflects the complexity of the juncture that faces one there, and if these are related to the difficulty that one is likely to have in resolving the juncture, then the appropriate analysis of these complexities, difficulties, and uncertainties into several parts can serve to advance the process of their resolution.
If the uncertainty that one experiences in facing a juncture reflects the complexity of the juncture that faces one there, and if these are related to the difficulty that one is likely to have in resolving the juncture, then the appropriate analysis of these complexities, difficulties, and uncertainties into several parts can serve to advance the process of their resolution.
With this picture of an agent at a juncture, appraising the uncertainties that affect the agent in that situation, indicating the complexities and the difficulties that the situation presents for the agent to resolve, sketching the forms of analysis that are called for in the process of resolution, and suggesting the relationships that obtain among these diverse ingredients of the situation, it is feasible to return to the problem of the "cartesian step", the one that moves from "ego dubito" to "ergo sum", and that simultaneously, as if perforce its very passing, creates the distinction between the LO and the HO attitudes of certainty. Can the cartesian step be viewed in this light, that is, can it be placed in a suitable way within this picture of junctures and resolutions, to be specific, posing a form of analysis that advances the cause of certainty? And if so, how does it appear when regarded in this light, that is, how well does it perform with respect to its conjectural role in reducing a fundamental uncertainty of the agent concerned?
With this picture of an agent at a juncture, appraising the uncertainties that affect the agent in that situation, indicating the complexities and the difficulties that the situation presents for the agent to resolve, sketching the forms of analysis that are called for in the process of resolution, and suggesting the relationships that obtain among these diverse ingredients of the situation, it is feasible to return to the problem of the ''cartesian step'', the one that moves from ''dubito'' to ''ergo sum'', and that simultaneously, as if perforce its very passing, creates the distinction between the LO and the HO attitudes of certainty. Can the cartesian step be viewed in this light, that is, can it be placed in a suitable way within this picture of junctures and resolutions, to be specific, posing a form of analysis that advances the cause of certainty? And if so, how does it appear when regarded in this light, that is, how well does it perform with respect to its conjectural role in reducing a fundamental uncertainty of the agent concerned?
In a sense, the cartesian step splits the agent's initial juncture into a couple of parts, or "subjunctures". In this attempt at resolution, there is a part identical to the initial juncture, and thus with an uncertainty of the original severity, plus a part that the agent is sure of, and thus with an uncertainty of zero. But this sort of analysis only works if it brings to light subjunctures of the initial juncture, or subsituations of the initial situation, that are actual ingredients, proper components, or non trivial constituents of it. When the HO certainty does not have an effective bearing on resolving the LO uncertainty, then the pretense of analysis is only a distraction, not a step toward a genuine resolution.
In a sense, the cartesian step splits the agent's initial juncture into a couple of parts, or ''subjunctures''. In this attempt at resolution, there is a part identical to the initial juncture, and thus with an uncertainty of the original severity, plus a part that the agent is sure of, and thus with an uncertainty of zero. But this sort of analysis only works if it brings to light subjunctures of the initial juncture, or subsituations of the initial situation, that are actual ingredients, proper components, or non trivial constituents of it. When the HO certainty does not have an effective bearing on resolving the LO uncertainty, then the pretense of analysis is only a distraction, not a step toward a genuine resolution.
Unless the HO answer that is revealed by dint of the cartesian step has an application to the LO question that instigated the original inquiry, one that reduces the LO uncertainty that initially justified the effort, then it does not have a genuine bearing on the LO juncture that led to putting this inquiry in gear and setting its proceedings into motion, and it cannot bring to bear on the ensuing activity or the ongoing process the modicum of traction that is needed to put a brake on its continuing. But a partition of a level of uncertainty into the very same amount plus a quantity of zero is hardly a sum, however much it seems on the level, that inspires much confidence in either the practical sincerity or the ergo nomic utility of the putative sum.
Unless the HO answer that is revealed by dint of the cartesian step has an application to the LO question that instigated the original inquiry, one that reduces the LO uncertainty that initially justified the effort, then it does not have a genuine bearing on the LO juncture that led to putting this inquiry in gear and setting its proceedings into motion, and it cannot bring to bear on the ensuing activity or the ongoing process the modicum of traction that is needed to put a brake on its continuing. But a partition of a level of uncertainty into the very same amount plus a quantity of zero is hardly a sum, however much it seems on the level, that inspires much confidence in either the practical sincerity or the ergo nomic utility of the putative sum.
When Descartes set about the reconstruction of philosophy, his first step was to (theoretically) permit scepticism and to discard the practice of the schoolmen of looking to authority as the ultimate source of truth. That done, he sought a more natural fountain of true principles, and thought he found it in the human mind; ...
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<p>When Descartes set about the reconstruction of philosophy, his first step was to (theoretically) permit scepticism and to discard the practice of the schoolmen of looking to authority as the ultimate source of truth. That done, he sought a more natural fountain of true principles, and thought he found it in the human mind; …</p>
Self-consciousness was to furnish us with our fundamental truths, and to decide what was agreeable to reason. But since, evidently, not all ideas are true, he was led to note, as the first condition of infallibility, that they must be clear. The distinction between an idea seeming clear and really being so, never occurred to him.
<p>Self-consciousness was to furnish us with our fundamental truths, and to decide what was agreeable to reason. But since, evidently, not all ideas are true, he was led to note, as the first condition of infallibility, that they must be clear. The distinction between an idea seeming clear and really being so, never occurred to him.</p>
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| align="right" | (Peirce, CP 5.391).
|}
In the discussion that follows, I am going to use the letters "C", "L", and "M" to stand for three generic features or classes of properties, yet to be fully analyzed or completely specified, that are commonly appreciated, desired, or valued as virtues of signs and expressions. For now, a list of adjectives appropriate to each class can give a sufficient indication of their intended characters, even though it is easily possible and eventually necessary to find important distinctions that exist among the items in each given list of exemplary properties.
In the discussion that follows, I am going to use the letters <math>C, L, M\!</math> to stand for three generic features or classes of properties, yet to be fully analyzed or completely specified, that are commonly appreciated, desired, or valued as virtues of signs and expressions. For now, a list of adjectives appropriate to each class can give a sufficient indication of their intended characters, even though it is easily possible and eventually necessary to find important distinctions that exist among the items in each given list of exemplary properties.
# The class <math>C\!</math> is suggested by the adjectives ''certain'', ''cogent'', ''compelling'', or ''convincing'', and, in some of their senses, by ''apparent'', ''evident'', ''obvious'', or ''patent''.
# The class <math>L\!</math> is suggested by the adjectives ''clear'', ''lucid'', ''perspicuous'', ''plain'', ''relevant'', or ''vivid''. To the geometric imagination, these terms suggest a ''bluntness'' (of surfaces) or a ''sharpness'' (of edges).
# The class <math>M\!</math> is suggested by the adjectives ''distinct'', ''decided'', ''defined'', ''definite'', ''determinate'', ''different'', ''differentiated'', or ''discrete'', and, within a stretch of the imagination, by ''acute'', ''conspicuous'', ''eminent'', ''manifest'', ''poignant'', ''salient'', or ''striking''. To the geometric imagination, these terms suggest a ''pointedness''.
In this frame of thought, it needs to be understood that the intended sense of these last two classes excludes the common usage of words like ''clear'', ''clearly'', and so on, or ''distinct'', ''distinctly'', and so on, as elliptic figures of speech that are intended to be taken in a more literal way to mean ''clearly true'', and so on, or ''distinctly true'', and so on.
In this connection, when I mention one of these properties it is only meant as a representative of its class. Also, as they are used in this context, these terms are intended only in what is diversely called their ''impressionistic'', ''nominal'', ''subjective'', ''superficial'', or ''topical'' sense, implying the sorts of qualities that one can judge “by inspection” of the expression and its immediate situation, and without the need of a prolonged investigation. Thus, none of their intentions is damaged for this purpose by prefacing their proposal with an attitude of ''seeming''. For all one cares in these concerns, <math>{}^{\backprime\backprime} \operatorname{seems}~X {}^{\prime\prime} = {}^{\backprime\backprime} X {}^{\prime\prime},\!</math> for <math>X = C, L, M.\!</math> This makes the judgment of these qualities a matter of ''seeming syntax'' and ''seeming semantics'', involving only the sorts of decision that are commonly and easily made without carrying out complex computations or without delving into the abstruse equivalence classes of expressions.
People frequently use the adverbs ''immediately'' or ''intuitively'' to get this sense across, and even though these terms have technical meanings that prevent me from using them in this way in anything but a casual setting, they can do for the moment. Still, when I use ''immediately'' in this sense it is meant in contrast only to ''ultimately'', and more or less synonymous to ''mediately'', suggesting that which holds in the meantime. In a pinch, a determination of seeming certainty or seeming clarity is enough to put an inquiry on hold for a time being, but the distinction between ''seeming so to me, for now'' and ''seeming so to all, forever'' still holds, with only the latter deserving the title of ''being so''.
These observations on im/mediate, intuitive, or meantime determinations of certainty, clarity, and distinctness have a bearing on the styles of mathematical formulation and the modes of computational implementation that are candidates for mediating a natural style of inquiry, in other words, the sort of inquiry that a human being can relate to. Because a decision that a sign or expression has one of the virtues <math>C, L, M,\!</math> even to a mediate, a moderate, or a modest degree, is often enough to end an inquiry on a temporary basis, it becomes necessary to recognize a form of recursive foundation that also rests on a temporal basis. And yet, because these modes of judgment are all the while fallible and subject to change, it is possible that deeper foundations remain to be found.
These observations on im/mediate, intuitive, or meantime determinations of certainty, clarity, and distinctness have a bearing on the styles of mathematical formulation and the modes of computational implementation that are candidates for mediating a natural style of inquiry, in other words, the sort of inquiry that a human being can relate to. Because a decision that a sign or expression has one of the virtues C, L, M, even to a mediate, a moderate, or a modest degree, is often enough to end an inquiry on a temporary basis, it becomes necessary to recognize a form of recursive foundation that also rests on a temporal basis. And yet, because these modes of judgment are all the while fallible and subject to change, it is possible that deeper foundations remain to be found.
What does this mean for the topic of reflection? Well, reflection is precisely that mode of thinking that is capable of beginning with the axioms and working backward, that is, of searching out the more basic forms that conceivably underlie one's received formulations.
What does this mean for the topic of reflection? Well, reflection is precisely that mode of thinking that is capable of beginning with the axioms and working backward, that is, of searching out the more basic forms that conceivably underlie one's received formulations.
I thereby concluded that I was a substance, of which the whole essence or nature consists in thinking, and which, in order to exist, needs no place and depends on no material thing; so that this "I", that is to say, the mind, by which I am what I am, is entirely distinct from the body, and even that it is easier to know than the body, and moreover, that even if the body were not, it would not cease to be all that it is.
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<p>I thereby concluded that I was a substance, of which the whole essence or nature consists in thinking, and which, in order to exist, needs no place and depends on no material thing; so that this “I”, that is to say, the mind, by which I am what I am, is entirely distinct from the body, and even that it is easier to know than the body, and moreover, that even if the body were not, it would not cease to be all that it is.</p>
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| align="right" | Rene Descartes, ''Discourse on Method'', [Des1, 54]
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And voila, I have, finally, spontaneously returned to there where I wanted to be. For because it now be known to me that bodies themselves are properly perceived not by the senses or by the faculty of imagining, but rather by the intellect alone, and that bodies are perceived not from thence that they would be touched or seen, but rather from thence only that they were to be understood, I cognize overtly that nothing can be perceived by me more easily or more evidently than my mind.
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<p>And voila, I have, finally, spontaneously returned to there where I wanted to be. For because it now be known to me that bodies themselves are properly perceived not by the senses or by the faculty of imagining, but rather by the intellect alone, and that bodies are perceived not from thence that they would be touched or seen, but rather from thence only that they were to be understood, I cognize overtly that nothing can be perceived by me more easily or more evidently than my mind.</p>
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| align="right" | Rene Descartes, ''Meditations on First Philosophy'', [Des2, 117]
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On reflection, the observation that appeared just before these last questions arose can be seen to make a very broad claim about a certain class of properties affecting expressions, namely, all those properties that can be analogous to the ordered measures of expressive quality. For future reference, let me call this the "monotone assumption" (MA). This generatrix of so many future and specious assumptions takes for granted a sweeping claim about the ways that an order of analysis of expressions translates into an order of comparison of their measures under one of these properties. But this entire and previously unstated assumption is itself just another manner of working hypothesis for the mental procedure or the process of inquiry that makes use of it, and its proper understanding is perhaps better served if it is rephrased as a question: Can the X of a claim or a concept be greater than the X of the subordinate claims and concepts that it calls on, where "X" stands for "certainty", "clarity", or any one of the corresponding class of measures, orders, properties, qualities, or virtues?
On reflection, the observation that appeared just before these last questions arose can be seen to make a very broad claim about a certain class of properties affecting expressions, namely, all those properties that can be analogous to the ordered measures of expressive quality. For future reference, let me call this the ''monotone assumption'' (MA). This generatrix of so many future and specious assumptions takes for granted a sweeping claim about the ways that an order of analysis of expressions translates into an order of comparison of their measures under one of these properties. But this entire and previously unstated assumption is itself just another manner of working hypothesis for the mental procedure or the process of inquiry that makes use of it, and its proper understanding is perhaps better served if it is rephrased as a question: Can the <math>X\!</math> of a claim or a concept be greater than the <math>X\!</math> of the subordinate claims and concepts that it calls on, where <math>{}^{\backprime\backprime} X {}^{\prime\prime}\!</math> stands for ''certainty'', ''clarity'', or any one of the corresponding class of measures, orders, properties, qualities, or virtues?
Rather than taking this claim for granted, suppose I go looking for any properties, that might be similar to certainty or clarity, for which the measure of a whole expression is capable of exceeding the measure of its parts. Is there an order property that is dependent on the constitution of the whole expression and a function of its analytic constituents but not necessarily tied down to monotonely conservative relationships like the sum, the average, or the lowest common denominator of the measures affecting its syntactic elements? Once I take the trouble to formulate the question in explicit terms, any number of familiar examples are free to come to mind as fitting its requirements. Indeed, since the notions of dependency and independence that accompany the use of mathematical functions and mathematical forms of decomposition do not by themselves implicate the more constrained types of dependency and the more radical types of independence that arise in relation and in reaction to the MA, it is rather easy to think of many that will do.
Rather than taking this claim for granted, suppose I go looking for any properties, that might be similar to certainty or clarity, for which the measure of a whole expression is capable of exceeding the measure of its parts. Is there an order property that is dependent on the constitution of the whole expression and a function of its analytic constituents but not necessarily tied down to monotonically conservative relationships like the sum, the average, or the lowest common denominator of the measures affecting its syntactic elements? Once I take the trouble to formulate the question in explicit terms, any number of familiar examples are free to come to mind as fitting its requirements. Indeed, since the notions of dependency and independence that accompany the use of mathematical functions and mathematical forms of decomposition do not by themselves implicate the more constrained types of dependency and the more radical types of independence that arise in relation and in reaction to the MA, it is rather easy to think of many that will do.
=====5.2.11.10. Problems and Methods=====
=====5.2.11.10. Problems and Methods=====
The relationship between a “problem” and a “method” needs to be given another look, in view of the discussion that has transpired since the initial steps of this proposal. …
The relationship between a "problem" and a "method" needs to be given another look, in view of the discussion that has transpired since the initial steps of this proposal. ...
To approach the distinction between problem and method in the present setting, in the light of the discussion that has transpired since I naively assumed a distinction between them, ...
To approach the distinction between problem and method in the present setting, in the light of the discussion that has transpired since I naively assumed a distinction between them, …
What is the nature of the relationship between a problem and a method? What is the distinction between them, and what sort of difference is it? These questions are made especially acute in view of the fact that the present inquiry nominates "inquiry" to both of these roles, proposing to take "inquiry" as naming both a problem and a method. If it makes any sense to do this, and if there is anything to the distinction between a problem and a method, then it must be a distinction of relational roles rather than a distinction of absolute essences. Trying to make sense of this requires me to ask: What manner of common, generic, indifferent, or shared existence do a problem and a method both possess, logically prior to taking on their distinctive roles in relation to each other?
What is the nature of the relationship between a problem and a method? What is the distinction between them, and what sort of difference is it? These questions are made especially acute in view of the fact that the present inquiry nominates “inquiry” to both of these roles, proposing to take “inquiry” as naming both a problem and a method. If it makes any sense to do this, and if there is anything to the distinction between a problem and a method, then it must be a distinction of relational roles rather than a distinction of absolute essences. Trying to make sense of this requires me to ask: What manner of common, generic, indifferent, or shared existence do a problem and a method both possess, logically prior to taking on their distinctive roles in relation to each other?
In approaching the distinction between a problem and a method, I use a piece of advice that is helpful in approaching any important distinction, especially a distinction that is naively taken as given or a distinction that has been taken for granted for too long a spell of time, like the distinction between the problem and the method, the work and the tool, or the object and the sign. This recommends that one stand back from a full involvement in the drawing of the distinction under review, to partially withdraw one's commitment to having it drawn the way it is, and to contemplate how it came to be drawn that way in the first place, in other words, to consider the process that initially draws it and that keeps on drawing it in just the way that it presently appears.
In approaching the distinction between a problem and a method, I use a piece of advice that is helpful in approaching any important distinction, especially a distinction that is naively taken as given or a distinction that has been taken for granted for too long a spell of time, like the distinction between the problem and the method, the work and the tool, or the object and the sign. This recommends that one stand back from a full involvement in the drawing of the distinction under review, to partially withdraw one's commitment to having it drawn the way it is, and to contemplate how it came to be drawn that way in the first place, in other words, to consider the process that initially draws it and that keeps on drawing it in just the way that it presently appears.
If this is done, then one realizes that the problem and the method are both constituted in part by the way their distinction is drawn, by the sort of distinction that one takes it to be, whether a sign of the roles that entities take up in relation to each other or a mark of the natures that entities have in and of themselves, and by the items that one takes as instances on either side of the distinction. In this way, every form of distinction, with respect to the contents of its counterposed sides, plays the role of a mediator in their mutual constitution of each other.
If this is done, then one realizes that the problem and the method are both constituted in part by the way their distinction is drawn, by the sort of distinction that one takes it to be, whether a sign of the roles that entities take up in relation to each other or a mark of the natures that entities have in and of themselves, and by the items that one takes as instances on either side of the distinction. In this way, every form of distinction, with respect to the contents of its counterposed sides, plays the role of a mediator in their mutual constitution of each other.
Standing back from the picture a little further, one can see that the distinction between a problem and a method is itself a tool of method, and one that is not ordinarily considered to be a problem. To see this, notice that "distinction" is an " ionized" term, and thus denotes both a process and a result, the process being the drawing of the distinction and the product being the distinction drawn, so any form of distinction is available for consideration in the light of its instrumental meaning. In this regard, the distinction between a problem and a method is itself an instrumentality of reasoning, a procedural means to an end, in short, a method or a tool. This particular distinction, between a problem and a method, falls among those of a very basic order, the kind that one takes as given without hesitation or reflection, uses to construe almost every situation that one finds oneself in, and does not usually question the utility of, until, as presently, some special attention is drawn to it. In summary, the distinction that is drawn between the problem seen and the method used, the conventional form of designation that says what is the work and what is the tool, is itself an artifice, a construct, an invention of the mind, or an intervention of the thinking process whose correspondence with anything else in reality and whose constitution as an enduring reality in itself is something that demands to be tested.
Standing back from the picture a little further, one can see that the distinction between a problem and a method is itself a tool of method, and one that is not ordinarily considered to be a problem. To see this, notice that ''distinction'' is an ''-ionized'' term, and thus denotes both a process and a result, the process being the drawing of the distinction and the product being the distinction drawn, so any form of distinction is available for consideration in the light of its instrumental meaning. In this regard, the distinction between a problem and a method is itself an instrumentality of reasoning, a procedural means to an end, in short, a method or a tool. This particular distinction, between a problem and a method, falls among those of a very basic order, the kind that one takes as given without hesitation or reflection, uses to construe almost every situation that one finds oneself in, and does not usually question the utility of, until, as presently, some special attention is drawn to it. In summary, the distinction that is drawn between the problem seen and the method used, the conventional form of designation that says what is the work and what is the tool, is itself an artifice, a construct, an invention of the mind, or an intervention of the thinking process whose correspondence with anything else in reality and whose constitution as an enduring reality in itself is something that demands to be tested.
If the terms "problem" and "method" refer to phenomena and activities that take place in the world, then that is one mode of existence they have in common. If the "world" is further circumscribed to the kinds of phenomena that have effective descriptions, that is, computational models, and the kinds of activities that have effective prescriptions, that is, computational implementations, then the mode of existence one commonly denotes by means of programs, codes, effective procedures, or other practical recipes is another domain that is capable of providing instances that fill both the roles of a problem or a method. Taking a clue from this interpretation, I can shift my approach to the question and consider the medium of signs that is used to address the things in comparison. By starting with the syntactic side of the issue I avail myself of ready made handles on the question, even if the mechanism of these conventional modes quickly becomes a difficulty in its own right, blocking further progress and demanding to be tackled in terms of the influential biases and the instrumental characters it brings to bear.
If the terms ''problem'' and ''method'' refer to phenomena and activities that take place in the world, then that is one mode of existence they have in common. If the “world” is further circumscribed to the kinds of phenomena that have effective descriptions, that is, computational models, and the kinds of activities that have effective prescriptions, that is, computational implementations, then the mode of existence one commonly denotes by means of programs, codes, effective procedures, or other practical recipes is another domain that is capable of providing instances that fill both the roles of a problem or a method. Taking a clue from this interpretation, I can shift my approach to the question and consider the medium of signs that is used to address the things in comparison. By starting with the syntactic side of the issue I avail myself of ready made handles on the question, even if the mechanism of these conventional modes quickly becomes a difficulty in its own right, blocking further progress and demanding to be tackled in terms of the influential biases and the instrumental characters it brings to bear.
===5.3. Reflection on Reflection===
===5.3. Reflection on Reflection===
====Looking Back====
====5.3.1. Looking Back====
Let me review the developments that bring me to this point. I began by describing my present inquiry, <math>y_0,\!</math> as an inquiry into inquiry, <math>y \cdot y.\!</math> Then I focused on the activities of discussion, <math>d,\!</math> and formalization, <math>f,\!</math> as two components of the faculty or the process of inquiry, <math>y >\!\!= \{ d , f \}.\!</math> This led me to the present discussion of formalization, <math>f \cdot d.\!</math> Considered as classes of activities, the collective instances of formalization, <math>F,\!</math> appeared to be encompassed by the collective instances of discussion, <math>D,\!</math> thereby yielding the relationship <math>F \subseteq D.\!</math>
Let me review the developments that bring me to this point. I began by describing my present inquiry, y0, as an inquiry into inquiry, y.y. Then I focussed on the activities of discussion, d, and formalization, f, as two components of the faculty or the process of inquiry, y >= {d,f}. This led me to the present discussion of formalization, f.d. Considered as classes of activities, the collective instances of formalization, F, appeared to be encompassed by the collective instances of discussion, D, thereby yielding the relationship F c D.
I initially characterized discussion and formalization, in regard to each other, as being an "actively instrumental" versus a "passively objective" aspect, component, or "face" of the inquiry y >= {d,f}. In casting them this way I clearly traded on the ambiguity of " ionized" terms to force the issue a bit. In other words, I used the flexibility that is freely available within their " ionic" construals, as processes or as products, to cast discussion and formalization into sundry molds, drawing out the patent energies that are manifested by the active process of discussion and placing them in contrast with the latent inertias that are immanent in the dormant product of formalization. In this partially arbitrary way, I decided on the one hand to treat discussion in respect of its ongoing process, the only thing that it has any assurance of accomplishing, but I decided on the other hand to treat formalization in respect of its end product, the abstract image or the formal model that constitutes its chief qualification and thus becomes the mark of what it is.
I initially characterized discussion and formalization, in regard to each other, as being an “actively instrumental” versus a “passively objective” aspect, component, or “face” of the inquiry <math>y >\!\!= \{ d , f \}.\!</math> In casting them this way I clearly traded on the ambiguity of “-ionized” terms to force the issue a bit. In other words, I used the flexibility that is freely available within their “-ionic” construals, as processes or as products, to cast discussion and formalization into sundry molds, drawing out the patent energies that are manifested by the active process of discussion and placing them in contrast with the latent inertias that are immanent in the dormant product of formalization. In this partially arbitrary way, I decided on the one hand to treat discussion in respect of its ongoing process, the only thing that it has any assurance of accomplishing, but I decided on the other hand to treat formalization in respect of its end product, the abstract image or the formal model that constitutes its chief qualification and thus becomes the mark of what it is.
By casting inquiry into the form y >= {d,f}, I made it more likely that my development of its self application, y.y >= {d,f}{d,f}, would first take up the application of discussion to formalization, f.d, and only later get around to the application of formalization to discussion, d.f, that brings the active side of the formalization process into a greater prominence. But the bias that I exploited in these readings does not seem at present to be a property of the incipient algebra that would determine the sense of the applications and the decompositions envisioned here. Thus, if I initially saw a difference between the two presentations {d,f} and {f,d}, then it must have been a purely interpretive and not a substantial one, and the task of giving explicit notice to these interpretive distinctions and working out their algebra or calculus yet remains to be carried out in any sort of convincing fashion.
By casting inquiry into the form <math>y >\!\!= \{ d , f \},\!</math> I made it more likely that my development of its self application <math>y \cdot y >\!\!= \{ d , f \}\{ d , f \}\!</math> would first take up the application of discussion to formalization, <math>f \cdot d,\!</math> and only later get around to the application of formalization to discussion, <math>d \cdot f,\!</math> that brings the active side of the formalization process into a greater prominence. But the bias that I exploited in these readings does not seem at present to be a property of the incipient algebra that would determine the sense of the applications and the decompositions envisioned here. Thus, if I initially saw a difference between the two presentations <math>\{ d , f \}\!</math> and <math>\{ f , d \},\!</math> then it must have been a purely interpretive and not a substantial one, and the task of giving explicit notice to these interpretive distinctions and working out their algebra or calculus yet remains to be carried out in any sort of convincing fashion.
Still, the casting of discussion and formalization as active and inert, respectively, was not entirely out of character with their distinctive natures, since a process that has an end is more naturally suited to be represented by its result than a process that conceivably never ends. And whereas a "discussion" was allowed to be a form of discourse that does not need to have an end, with the possible exception of itself, a "formalization" was sensed to be a form of discourse that has, needs, seeks, or wants a distinct end, not just any end but a form of product that is preferred to satisfy a general description, and one that most likely resides outside the form of a vacuous vanity that simply refers, in a reflexive but hollow echo, to the entirety of its own proceedings.
Still, the casting of discussion and formalization as active and inert, respectively, was not entirely out of character with their distinctive natures, since a process that has an end is more naturally suited to be represented by its result than a process that conceivably never ends. And whereas a ''discussion'' was allowed to be a form of discourse that does not need to have an end, with the possible exception of itself, a ''formalization'' was sensed to be a form of discourse that has, needs, seeks, or wants a distinct end, not just any end but a form of product that is preferred to satisfy a general description, and one that most likely resides outside the form of a vacuous vanity that simply refers, in a reflexive but hollow echo, to the entirety of its own proceedings.
In this merely penultimate analysis, and to the extent that the question of ends has been analyzed up to the present, it needs to be noted that more than a bit of ambiguity yet remains. When one speaks of a form of discourse each of whose instances necessarily has an end, does one mean that the definition of the form requires each instance to have an end, and does one then mean that each valid instance actually achieves its end, or does one only mean that each instance of some empirically given class of discourses actually reaches some end or another?
In this merely penultimate analysis, and to the extent that the question of ends has been analyzed up to the present, it needs to be noted that more than a bit of ambiguity yet remains. When one speaks of a form of discourse each of whose instances necessarily has an end, does one mean that the definition of the form requires each instance to have an end, and does one then mean that each valid instance actually achieves its end, or does one only mean that each instance of some empirically given class of discourses actually reaches some end or another?
The word "reflection" first entered this discussion in what seemed like a purely incidental and instrumental way, as a part of the definition of a "meditation" as "a discourse intended to express its author's reflections or to guide others in contemplation" (Webster's). I converted this term to my own use as a name for a particular class of activities, describing the class of "meditations", M, as a brand of "measured" and "motivated" discussions that can serve to mediate formalizations within the realm of discussions at large. Thus, I borrowed the term for no better reason than that of interposing a middle term between formalized discussions and discussions in general, thereby yielding the relationship F c M c D.
The word “reflection” first entered this discussion in what seemed like a purely incidental and instrumental way, as a part of the definition of a “meditation” as “a discourse intended to express its author's reflections or to guide others in contemplation” (Webster's). I converted this term to my own use as a name for a particular class of activities, describing the class of ''meditations'', <math>M,\!</math> as a brand of ''measured'' and ''motivated'' discussions that can serve to mediate formalizations within the realm of discussions at large. Thus, I borrowed the term for no better reason than that of interposing a middle term between formalized discussions and discussions in general, thereby yielding the relationship <math>F \subseteq M \subseteq D.\!</math>
In this respect, it seems to be instructive that the issue of reflection first arrived on the present scene, quietly enough, under the aegis of a borrowed term, imported without deliberate design among the components and the connotations of its associated sample of discourse, and involved in a process that seeks to negotiate the conflicting claims that arise between formal and casual discourse. In the simplest sense of the word, an activity of reflection implies only that an agent thinks quietly and calmly about a matter, the etymology of the word suggesting the actions of bending, bounding, casting, folding, giving, turning, throwing, or yielding back again, and hence a pause, a return, or a review. In this regard, the word "reflection" barely alludes to the idea that what the agent turns back to is something that involves itself, its own patterns of activity, and thus the word only hints as yet at the complicities of self reference and self application that are involved in an agent turning back to view its past, its present, or its ongoing forms of conduct.
In this respect, it seems to be instructive that the issue of reflection first arrived on the present scene, quietly enough, under the aegis of a borrowed term, imported without deliberate design among the components and the connotations of its associated sample of discourse, and involved in a process that seeks to negotiate the conflicting claims that arise between formal and casual discourse. In the simplest sense of the word, an activity of reflection implies only that an agent thinks quietly and calmly about a matter, the etymology of the word suggesting the actions of bending, bounding, casting, folding, giving, turning, throwing, or yielding back again, and hence a pause, a return, or a review. In this regard, the word "reflection" barely alludes to the idea that what the agent turns back to is something that involves itself, its own patterns of activity, and thus the word only hints as yet at the complicities of self reference and self application that are involved in an agent turning back to view its past, its present, or its ongoing forms of conduct.
When one crosses a critical threshold or a threshold of decision, ...
When one crosses a critical threshold or a threshold of decision, ...
A notion of reflection, in a more authentically "reflexive" sense, was implicitly involved in the application of inquiry to itself, y0 = y.y, and was eventually encountered on a recurring basis in the application of each newly recognized component of inquiry to itself: y.y >= d.d, f.f. In a more substantial role, the option of a capacity for reflection was already noticed as a significant parameter in the constitution of an IF.
A notion of reflection, in a more authentically reflexive sense, was implicitly involved in the application of inquiry to itself, <math>y_0 = y \cdot y,\!</math> and was eventually encountered on a recurring basis in the application of each newly recognized component of inquiry to itself: <math>y \cdot y >\!\!= d \cdot d, f \cdot f.\!</math> In a more substantial role, the option of a capacity for reflection was already noticed as a significant parameter in the constitution of an IF.
Often, an IF is founded and persists in operation long before any participant is able to reflect on its structure or to post a note of its character to the constituting members of the framework. (SS 1.3.3.5, page 14).
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<p>Often, an IF is founded and persists in operation long before any participant is able to reflect on its structure or to post a note of its character to the constituting members of the framework.</p>
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| align="right" | (§ 1.3.3.5, page 14)
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More substantially, a notion of reflection was invoked as something necessary ...
More substantially, a notion of reflection was invoked as something necessary …
In other contexts, something called "reflection" was seen as necessary to avoid certain types of unfortunate outcomes,
In other contexts, something called “reflection” was seen as necessary to avoid certain types of unfortunate outcomes, …
To avoid the types of cul de sac (cultist act) encountered above, I am taking some pains to ensure a reflective capacity for the interpretive frameworks I develop in this project. (SS 1.3.3.5, page 15).
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<p>To avoid the types of cul de sac (cultist act) encountered above, I am taking some pains to ensure a reflective capacity for the interpretive frameworks I develop in this project.</p>
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| align="right" | (§ 1.3.3.5, page 15)
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A radical form of analysis ... requires interpreters ... to reflect on their own motives and motifs for construing and employing objects in the ways they do, and to deconstruct how their own aims and biases enter into the form and use of objects. (SS 1.3.4.12, page 36).
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<p>A radical form of analysis &hellip requires interpreters … to reflect on their own motives and motifs for construing and employing objects in the ways they do, and to deconstruct how their own aims and biases enter into the form and use of objects.</p>
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| align="right" | (§ 1.3.4.12, page 36)
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Thus, the radical project in all of these directions demands forms of interpretation, analysis, synthesis that can reflect a measure of light on the initially unstated assumptions of their prospective agents. (SS 1.3.4.12, page 36).
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<p>Thus, the radical project in all of these directions demands forms of interpretation, analysis, synthesis that can reflect a measure of light on the initially unstated assumptions of their prospective agents.</p>
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| align="right" | (§ 1.3.4.12, page 36)
|}
The relationships among the activities and faculties of discussion, contemplation, formalization, meditation, and reflection need to be explored in more detail. In particular, the relationship between formalization and reflection is especially relevant to the task of constructing a RIF.
The relationships among the activities and faculties of discussion, contemplation, formalization, meditation, and reflection need to be explored in more detail. In particular, the relationship between formalization and reflection is especially relevant to the task of constructing a RIF.
Unlike a discussion of discussion, d.d, which is easy to start and hard to put an end to once it gets going, it is difficult for a reflection on reflection, r.r, to get itself going with nothing to reflect on but itself. I have just illustrated one way of doing this, namely, by leading a text to reflect on itself, as long as you understand this figure of speech to mean that it leads its interpreters, its writer and reader, without whose agency there would be no reflection at all, to reflect on how it reflects on itself. But I obviously need other ways than this to demonstrate the functions and properties of reflection in anything like their full variety.
Unlike a discussion of discussion, <math>d \cdot d,\!</math> which is easy to start and hard to put an end to once it gets going, it is difficult for a reflection on reflection, <math>r \cdot r,\!</math> to get itself going with nothing to reflect on but itself. I have just illustrated one way of doing this, namely, by leading a text to reflect on itself, as long as you understand this figure of speech to mean that it leads its interpreters, its writer and reader, without whose agency there would be no reflection at all, to reflect on how it reflects on itself. But I obviously need other ways than this to demonstrate the functions and properties of reflection in anything like their full variety.
Toward this end, it can also help to illustrate the action of reflection if I find it some material besides itself to reflect off of, in other words, if I supply it with an independently generated and concretely finished text as an argument to exercise its powers of reflection on. Accordingly, in the next part of this discussion I will interleave my text with ...
Toward this end, it can also help to illustrate the action of reflection if I find it some material besides itself to reflect off of, in other words, if I supply it with an independently generated and concretely finished text as an argument to exercise its powers of reflection on. Accordingly, in the next part of this discussion I will interleave my text with …
The preview that follows takes up the first stirrings of many subjects that cannot be meaningfully engaged, much less fully formalized, until much later in the investigation. In many cases the ongoing discussion can afford to pause only long enough to toss a provisional name in the direction of a prospective topic, both the name and the place of which promise an eventual return and revision, if not a recurring visitation. If I were forced to give a formal title to my sketch in reconnaissance of this area, I would call it the "phenomenology of inquiry", but this fine label is already too heavy an emblem for my effort to bear at this point.
The preview that follows takes up the first stirrings of many subjects that cannot be meaningfully engaged, much less fully formalized, until much later in the investigation. In many cases the ongoing discussion can afford to pause only long enough to toss a provisional name in the direction of a prospective topic, both the name and the place of which promise an eventual return and revision, if not a recurring visitation. If I were forced to give a formal title to my sketch in reconnaissance of this area, I would call it the “phenomenology of inquiry”, but this fine label is already too heavy an emblem for my effort to bear at this point.
This subsection presents a broad overview of the questions raised and the conceptual needs occasioned by the prospects of constructing a RIF. It makes no attempt to completely cover the topics it identifies and does not try to answer the questions it raises or to fill the needs it notices, but it merely points out a selective sample of the most salient concerns that need to be addressed.
This subsection presents a broad overview of the questions raised and the conceptual needs occasioned by the prospects of constructing a RIF. It makes no attempt to completely cover the topics it identifies and does not try to answer the questions it raises or to fill the needs it notices, but it merely points out a selective sample of the most salient concerns that need to be addressed.
The long route which I propose also aspires to carry reflection to the level of an ontology, but it will do so by degrees, following successive investigations into semantics and reflection.
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<p>The long route which I propose also aspires to carry reflection to the level of an ontology, but it will do so by degrees, following successive investigations into semantics and reflection.</p>
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| align="right" | Paul Ricoeur, ''The Conflict of Interpretations'', [Ric, 6]
|}
The subject of reflection is first approached in a topical, paraphrastic, or even periphrastic manner. The notion of a capacity for reflection is submitted to a tentative analysis, as treated in a variety of different modes of conception, by listing the duties that are typically demanded of a reflective agent, by compiling and reconciling the properties that are commonly ascribed to the process of reflection, and by contemplating the responsibilities and the results that the faculty of reflection is supposed to have in the many contexts where it is expected to serve.
The subject of reflection is first approached in a topical, paraphrastic, or even periphrastic manner. The notion of a capacity for reflection is submitted to a tentative analysis, as treated in a variety of different modes of conception, by listing the duties that are typically demanded of a reflective agent, by compiling and reconciling the properties that are commonly ascribed to the process of reflection, and by contemplating the responsibilities and the results that the faculty of reflection is supposed to have in the many contexts where it is expected to serve.
“Reflection” is a word that is used with a wide variety of meanings in both ordinary language and technical contexts. Some of these uses have little to do with the sorts of inquiry being pursued here. Other uses, though related to inquiry, refer to processes that are fully as complex as inquiry itself. Neither of these extremes of meaning falls within the present focus of discussion.
The task for this project is to identify a coherent set of operations: (1) that fall within the scope of conceptual analysis and computational modeling, (2) that bear a recognizable and illuminating relationship to what is commonly called "reflection", and (3) that make an operational contribution to inquiry, while (4) constituting simpler components of it.
The task for this project is to identify a coherent set of operations: (1) that fall within the scope of conceptual analysis and computational modeling, (2) that bear a recognizable and illuminating relationship to what is commonly called “reflection”, (3) that make an operational contribution to inquiry, and (4) that constitute simpler components of the operation of inquiry.
I define "symbol" as any structure of signification in which a direct, primary, literal meaning designates, in addition, another meaning which is indirect, secondary, and figurative and which can be apprehended only through the first.
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<p>I define “symbol” as any structure of signification in which a direct, primary, literal meaning designates, in addition, another meaning which is indirect, secondary, and figurative and which can be apprehended only through the first.</p>
|-
| align="right" | Paul Ricoeur, ''The Conflict of Interpretations'', [Ric, 12]
|}
The types of reflective operations of interest in this work are best approached and analyzed within a sign theoretic setting. …
Presented in the guise of an allegorical figure, reflection appears as the bailiff or the sergeant at arms who escorts an agent, faculty, or process from the office of power to the dockets of observation, examination, and potential revision. But still, putting all allegory aside, this mode of transport goes nowhere at all, nor travels through any space, but turns on a mere change of views for all that it ushers in. One is perfectly capable of using a power of inquiry of which no account is yet given. But reflection is a part of the inquiry into conduct that gives the conduct in question a description.
Presented in the guise of an allegorical figure, reflection appears as the bailiff or the sergeant at arms who escorts an agent, faculty, or process from the office of power to the dockets of observation, examination, and potential revision. But still, putting all allegory aside, this mode of transport goes nowhere at all, nor travels through any space, but turns on a mere change of views for all that it ushers in. One is perfectly capable of using a power of inquiry of which no account is yet given. But reflection is a part of the inquiry into conduct that gives the conduct in question a description.
He paused and nibbled absentmindedly on his branch for a while, as if gathering his thoughts.
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<p>He paused and nibbled absentmindedly on his branch for a while, as if gathering his thoughts.</p>
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| align="right" | Daniel Quinn, ''Ishmael'', [DQ, 11]
|}
If inquiry is viewed as a process of reasoning, then it takes place in thought, and so in the signs that are the public expression of thought. This means that an inquiry into inquiry has the duty to concern itself with thoughts, signs, and the relationship between them. To do this in an appropriate setting, it has to consider thoughts and signs as things taken apart from, but placed in relation to, their own particular objects. Indeed, the task that distinguishes an inquiry into inquiry, the specific difference that sets it apart, both from all of its object inquiries and again from inquiry in general, is the question of how thought is to be conducted if the goals of inquiry are to be met.
If inquiry is viewed as a process of reasoning, then it takes place in thought, and so in the signs that are the public expression of thought. This means that an inquiry into inquiry has the duty to concern itself with thoughts, signs, and the relationship between them. To do this in an appropriate setting, it has to consider thoughts and signs as things taken apart from, but placed in relation to, their own particular objects. Indeed, the task that distinguishes an inquiry into inquiry, the specific difference that sets it apart, both from all of its object inquiries and again from inquiry in general, is the question of how thought is to be conducted if the goals of inquiry are to be met.
In such places (he went on at last), where animals are simply penned up, they are almost always more thoughtful than their cousins in the wild.
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<p>In such places (he went on at last), where animals are simply penned up, they are almost always more thoughtful than their cousins in the wild.</p>
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| align="right" | Daniel Quinn, ''Ishmael'', [DQ, 11]
|}
If one considers the formula that characterizes an inquiry into inquiry, "y0 = y.y", and examines the term y.y that factors y0 along the lines of an ostensible self application, it is evident that any power invoked on the right is instantly echoed on the left and so required to survive the application or else be revoked. If the use of a given power of inquiry, working from the right and serving in the role of an operator, leads to a prospective description of inquiry, worked on the left from the role of an operand to the role of a result, and if the proferred characterization of inquiry is found to be out of accord with significant instances of its actual practice, then either the depiction of inquiry, as it is mediately improvised in progress, or the performance of inquiry, as it is actually conducted in practice, can turn out to be at fault.
If one considers the formula that characterizes an inquiry into inquiry, <math>y_0 = y \cdot y,\!</math> and examines the term <math>y \cdot y\!</math> that factors <math>y_0\!</math> along the lines of an ostensible self-application, it is evident that any power invoked on the right is instantly echoed on the left and so required to survive the application or else be revoked. If the use of a given power of inquiry, working from the right and serving in the role of an operator, leads to a prospective description of inquiry, worked on the left from the role of an operand to the role of a result, and if the proffered characterization of inquiry is found to be out of accord with significant instances of its actual practice, then either the depiction of inquiry, as it is mediately improvised in progress, or the performance of inquiry, as it is actually conducted in practice, can turn out to be at fault.
This is because even the dimmest of them cannot help but sense that something is very wrong with this style of living.
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<p>This is because even the dimmest of them cannot help but sense that something is very wrong with this style of living.</p>
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| align="right" | Daniel Quinn, ''Ishmael'', [DQ, 11]
|}
The philosophical point of view called "pragmatism" takes a particular position on the relation of thoughts to signs, and this determines a particular method of approach to the nature of thinking. To preview here what is presented in detail later, the pragmatic point of view involves: (1) an assertion that thoughts are a special case of signs, (2) a theoretical definition of signs in terms of sign relations, and (3) a corresponding approach to the nature of thought as "praxis", in other words, of thinking as a process, or inquiry as a form of conduct.
The philosophical point of view called “pragmatism” takes a particular position on the relation of thoughts to signs, and this determines a particular method of approach to the nature of thinking. To preview here what is presented in detail later, the pragmatic point of view involves: (1) an assertion that thoughts are a special case of signs, (2) a theoretical definition of signs in terms of sign relations, and (3) a corresponding approach to the nature of thought as “praxis”, in other words, of thinking as a process, or inquiry as a form of conduct.
When I say that they are more thoughtful, I don't mean to imply that they acquire powers of ratiocination.
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<p>When I say that they are more thoughtful, I don't mean to imply that they acquire powers of ratiocination.</p>
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| align="right" | Daniel Quinn, ''Ishmael'', [DQ, 11]
|}
The way that reflection turns action into depiction and description, how it gives a sign to the act and provides a code for its future conduct, is the chief mystery of the whole process of reflection. Expressed in the substantive fashion that the " ionized" character of "reflection" permits, this riddle arises from wondering how a reflection on the action can be transubstantiated as a sign of the action and resurrect itself in a code of the conduct. In other words, how does a signification calling for an interpretation arise from the very interruption of its full transmission, the comical section of its secular extension, the transient abdication of its permanent tradition, ..., or the discrete truncation of a continuous conduction?
The way that reflection turns action into depiction and description, how it gives a sign to the act and provides a code for its future conduct, is the chief mystery of the whole process of reflection. Expressed in the substantive fashion that the “-ionized” character of “reflection” permits, this riddle arises from wondering how a reflection on the action can be transubstantiated as a sign of the action and resurrect itself in a code of the conduct. In other words, how does a signification calling for an interpretation arise from the very interruption of its full transmission, the comical section of its secular extension, the transient abdication of its permanent tradition, …, or the discrete truncation of a continuous conduction?
But the tiger you see madly pacing its cage is nevertheless preoccupied with something that a human would certainly recognize as a thought.
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<p>But the tiger you see madly pacing its cage is nevertheless preoccupied with something that a human would certainly recognize as a thought.</p>
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| align="right" | Daniel Quinn, ''Ishmael'', [DQ, 11]
|}
The way that inquiry obstructs itself, or that each inquiry interferes with every other, is a phenomenon that constitutes a principal target of this investigation. At times it seems as if the present construction is always the main obstruction to the intentions that are embodied in it, forestalling every chance of change, every hope of growth, and every possibility of progress into the future. How do the very processes of analysis, inquiry, and reflection come to have their aims so distorted, their airs so polluted, and their purposes so perverted that the very bodies of their own past effects become the blocks to their moving on?
The way that inquiry obstructs itself, or that each inquiry interferes with every other, is a phenomenon that constitutes a principal target of this investigation. At times it seems as if the present construction is always the main obstruction to the intentions that are embodied in it, forestalling every chance of change, every hope of growth, and every possibility of progress into the future. How do the very processes of analysis, inquiry, and reflection come to have their aims so distorted, their airs so polluted, and their purposes so perverted that the very bodies of their own past effects become the blocks to their moving on?
And this thought is a question: Why?
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<p>And this thought is a question: ''Why?''</p>
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| align="right" | Daniel Quinn, ''Ishmael'', [DQ, 11]
|}
An inquiry into inquiry can start out so close to the start of its subject that it finds its subject inquiry in a state of inchoate incipience, one where no hint of reflection is yet to be discerned. But once the action of reflection is suspected to lie beneath the manifest activity of the subject inquiry, from the effects of reflection that are discovered to issue from the inquiry in question, the analysis of this reflection can take its charge to such outrageous extremes, breaking down the actual process of reflection to its most inert levels of miniscule details, breaking up the living continuity that is appropriate to a realistic depiction, incrementally revealing the fragments of reflection that are revealed by this analysis, omitting every sense of connection and surgically excising every ligament of extenuating context, or that are incrementally and inspecting revealed by this analysis with such a myopic scope, that no trace of the overriding imagination appears among the pieces that remain, the original aspect of reflection is lost among the residual debris.
An inquiry into inquiry can start out so close to the start of its subject that it finds its subject inquiry in a state of inchoate incipience, one where no hint of reflection is yet to be discerned. But once the action of reflection is suspected to lie beneath the manifest activity of the subject inquiry, from the effects of reflection that are discovered to issue from the inquiry in question, the analysis of this reflection can take its charge to such outrageous extremes, breaking down the actual process of reflection to its most inert levels of miniscule details, breaking up the living continuity that is appropriate to a realistic depiction, incrementally revealing the fragments of reflection that are revealed by this analysis, omitting every sense of connection and surgically excising every ligament of extenuating context, or that are incrementally and inspecting revealed by this analysis with such a myopic scope, that no trace of the overriding imagination appears among the pieces that remain, the original aspect of reflection is lost among the residual debris.
When it comes to understanding a living activity, like reflection, or inquiry, or analysis itself for that matter, there are forms of analysis that go too far in their favored or particular directions while failing to take into account the workings of significant "ligaments", or connective factors, that help to constitute and coordinate both their subjects and themselves, and on which the integrity of both depends. In particular, the purely syntactic analysis of a reflective narrative is liable to be carried to the bounds of such extremities that no trace of reflection is evident within the functional structures of the parts that are obtained or appears beneath the few points of light that the analysis yet throws. At this point, the instrument of reflection is broken so utterly, into so many pieces, and of such a small size that neither a close nor a distant inspection of any fraction of their number reveals any longer the aspect of reflection for which their matter was originally prized and pried into. When this state of analysis is reached, the medium of reflection, though it is still reflective in a certain sense, scatters the ambient light of nature that remains to it and disperses its sense through an evanescent void that presents nothing more illuminating to the imagination than the shimmering opacity of an opalescent haze.
When it comes to understanding a living activity, like reflection, or inquiry, or analysis itself for that matter, there are forms of analysis that go too far in their favored or particular directions while failing to take into account the workings of significant “ligaments”, or connective factors, that help to constitute and coordinate both their subjects and themselves, and on which the integrity of both depends. In particular, the purely syntactic analysis of a reflective narrative is liable to be carried to the bounds of such extremities that no trace of reflection is evident within the functional structures of the parts that are obtained or appears beneath the few points of light that the analysis yet throws. At this point, the instrument of reflection is broken so utterly, into so many pieces, and of such a small size that neither a close nor a distant inspection of any fraction of their number reveals any longer the aspect of reflection for which their matter was originally prized and pried into. When this state of analysis is reached, the medium of reflection, though it is still reflective in a certain sense, scatters the ambient light of nature that remains to it and disperses its sense through an evanescent void that presents nothing more illuminating to the imagination than the shimmering opacity of an opalescent haze.
The way that reflection, in adjunction to conduct, leads that conduct to a description of itself, not only in the sense of begetting an image but also in the sense of encountering a design, needs itself to have a name. I dub this turn of reflection, through which it converts the conduct of experience into an experience of conduct, by the name "metamorphism". The way that a reflection of the action is a sign of the action needs to be investigated further, and is pursued through the rest of this work. An apology is due for continuing to harp on this point, but it remains a crucial point for the whole method of reflection, if it is to be a method.
The way that reflection, in adjunction to conduct, leads that conduct to a description of itself, not only in the sense of begetting an image but also in the sense of encountering a design, needs itself to have a name. I dub this turn of reflection, through which it converts the conduct of experience into an experience of conduct, by the name “metamorphism”. The way that a reflection of the action is a sign of the action needs to be investigated further, and is pursued through the rest of this work. An apology is due for continuing to harp on this point, but it remains a crucial point for the whole method of reflection, if it is to be a method.
"Why, why, why, why, why, why?" the tiger asks itself hour after hour, day after day, year after year, as it treads its endless path behind the bars of its cage.
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<p>“Why, why, why, why, why, why?” the tiger asks itself hour after hour, day after day, year after year, as it treads its endless path behind the bars of its cage.</p>
|-
| align="right" | Daniel Quinn, ''Ishmael'', [DQ, 11]
|}
Returning to the formula of an inquiry into inquiry, y0 = y.y, it is possible to derive a few of its consequences for the character of the operation that is to be called "reflection". In general, a formula like f = g.h constitutes a movement of conceptual reorganization, one whose resultant syntactic structure may or may not reflect an objective form of being, that is, an aspect of structure in the being that constitutes its object. If there is a similarity of structure to be found between the formula and the object, then one has what is called an "iconic formula", but this is not always the case, and even this special situation requires the proper interpretation to tell in exactly what respect the form of the sign and the form of the object are alike. Whatever the case, the role of the formula as a sign should not be confused with the role of the object in reality, no matter how similar their forms may be.
Returning to the formula of an inquiry into inquiry, <math>y_0 = y \cdot y,\!</math> it is possible to derive a few of its consequences for the character of the operation that is to be called “reflection”. In general, a formula like <math>f = g \cdot h\!</math> constitutes a movement of conceptual reorganization, one whose resultant syntactic structure may or may not reflect an objective form of being, that is, an aspect of structure in the being that constitutes its object. If there is a similarity of structure to be found between the formula and the object, then one has what is called an ''iconic formula'', but this is not always the case, and even this special situation requires the proper interpretation to tell in exactly what respect the form of the sign and the form of the object are alike. Whatever the case, the role of the formula as a sign should not be confused with the role of the object in reality, no matter how similar their forms may be.
It cannot analyze the question or elaborate on it.
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<p>It cannot analyze the question or elaborate on it.</p>
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| align="right" | Daniel Quinn, ''Ishmael'', [DQ, 11]
|}
If one reads the form "y.y" according to the convention adopted, where a latently but actively instrumentalized inquiry on the right applies to a patently but patiently objectified inquiry on the left, almost as if they were two distinct agencies, faculties, or processes, then it is clear that an inquiry into inquiry can begin with little more than a nominal object, taking the name of "inquiry" in its sights to yield a clue in name only, while it can reserve all the power of an established capacity for inquiry to conduct its review, of which no account, no prescribed code, nor any catalog of procedure has to be given at the outset of its investigation.
If one reads the form <math>y \cdot y\!</math> according to the convention adopted, where a latently but actively instrumentalized inquiry on the right applies to a patently but patiently objectified inquiry on the left, almost as if they were two distinct agencies, faculties, or processes, then it is clear that an inquiry into inquiry can begin with little more than a nominal object, taking the name of “inquiry” in its sights to yield a clue in name only, while it can reserve all the power of an established capacity for inquiry to conduct its review, of which no account, no prescribed code, nor any catalog of procedure has to be given at the outset of its investigation.
If you were somehow able to ask the creature, "Why what?" it would be unable to answer you.
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<p>If you were somehow able to ask the creature, “Why ''what''?” it would be unable to answer you.</p>
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| align="right" | Daniel Quinn, ''Ishmael'', [DQ, 11]
|}
But it is important to remember that the full intention of this factious formulation is more analogous to an interpretive doubling of vision, an amplification of resolving power and a coordination of perspectives, than it is to an objective division of being, a substantial disconnection of essentials or a disintegration of being. Even when the factions of the term "y.y" are conceived in practice to be implemented by substantially different parts of the same agency, constitutionally they embody but a single power.
But it is important to remember that the full intention of this factious formulation is more analogous to an interpretive doubling of vision, an amplification of resolving power and a coordination of perspectives, than it is to an objective division of being, a substantial disconnection of essentials or a disintegration of being. Even when the factions of the term <math>y \cdot y\!</math> are conceived in practice to be implemented by substantially different parts of the same agency, constitutionally they embody but a single power.
Before long I too began to ask myself why.
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<p>Before long I too began to ask myself ''why''.</p>
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| align="right" | Daniel Quinn, ''Ishmael'', [DQ, 11]
|}
The form of inquiry into inquiry, y.y, requires that any power assumed on the part of the right is open to be indicted on the part of the left. This entails that any power arrogated for the ends of inquiry has to be given a name, not only under which it is invoked as an executive power, but also by which it is entered on the agenda of issues to inquire into, and finally through which it is indicted for submission to all the powers of inquiry that be. This combination of "appellation" and "supplication", or "nomination for" and "submission to" the jurisdiction of a reflexive application, makes up a large part of what is usually called "reflection".
The form of inquiry into inquiry, <math>y \cdot y,\!</math> requires that any power assumed on the part of the right is open to be indicted on the part of the left. This entails that any power arrogated for the ends of inquiry has to be given a name, not only under which it is invoked as an executive power, but also by which it is entered on the agenda of issues to inquire into, and finally through which it is indicted for submission to all the powers of inquiry that be. This combination of ''appellation'' and ''supplication'', or ''nomination for'' and ''submission to'' the jurisdiction of a reflexive application, makes up a large part of what is usually called ''reflection''.
Being neurologically far in advance of the tiger, I was able to examine what I meant by the question, at least in a rudimentary way.
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<p>Being neurologically far in advance of the tiger, I was able to examine what I meant by the question, at least in a rudimentary way.</p>
|-
| align="right" | Daniel Quinn, ''Ishmael'', [DQ, 11]
|}
Many times, otherwise unrelated uses of the word "reflection" in the physical sciences can be suggestive. For example, reflection is one of the ways that a continuous appearing phenomenon can be brought into a form of interaction with itself and thereby to exhibit its nature as a pattern of activity with definite features and discrete characteristics. But metaphors like these can be kept from spinning out misleading clues only if the keys to understanding them as analogies can be found.
Many times, otherwise unrelated uses of the word ''reflection'' in the physical sciences can be suggestive. For example, reflection is one of the ways that a continuous appearing phenomenon can be brought into a form of interaction with itself and thereby to exhibit its nature as a pattern of activity with definite features and discrete characteristics. But metaphors like these can be kept from spinning out misleading clues only if the keys to understanding them as analogies can be found.
I remembered a different sort of life, which was, for those who lived it, interesting and pleasant.
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<p>I remembered a different sort of life, which was, for those who lived it, interesting and pleasant.</p>
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| align="right" | Daniel Quinn, ''Ishmael'', [DQ, 11–12]
|}
With respect to the present project, that peers into its own appearances for the sake of seeing what logic lies in the rawness of experience, the analogous question is: How can the continuation of experience be conducted in such a way as to reveal within experience itself the conditions that connect its unconducted to its conducted course?
With respect to the present project, that peers into its own appearances for the sake of seeing what logic lies in the rawness of experience, the analogous question is: How can the continuation of experience be conducted in such a way as to reveal within experience itself the conditions that connect its unconducted to its conducted course?
By contrast, this life was agonizingly boring and never pleasant.
{| align="center" cellpadding="0" cellspacing="0" width="90%"
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<p>By contrast, this life was agonizingly boring and never pleasant.</p>
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| align="right" | Daniel Quinn, ''Ishmael'', [DQ, 12]
|}
This motion, the kind of movement just put in question or the form of development just wondered about, occurs throughout the whole field of inquiry, making it convenient to find a name for it. Because it steps across a boundary in a state space while keeping its eye on both sides of the displayed distinction, it can be called a "circumspect transition" or, more dramatically, a "peripeteic strophe". At times it appears in lights that earn it the titles of the "yoke of knowing existence" (YOKE), the "conduct of subjectivity" (COS), or just the "junctive element" (JE). It is pertinent in this connection that I am treating the condition of subjectivity as a special case of pragmatic objectivity, as it appears in this instance, one that involves an element of reflection.
This motion, the kind of movement just put in question or the form of development just wondered about, occurs throughout the whole field of inquiry, making it convenient to find a name for it. Because it steps across a boundary in a state space while keeping its eye on both sides of the displayed distinction, it can be called a ''circumspect transition'' or, more dramatically, a ''peripeteic strophe''. At times it appears in lights that earn it the titles of the ''yoke of knowing existence'' (YOKE), the ''conduct of subjectivity'' (COS), or just the ''junctive element'' (JE). It is pertinent in this connection that I am treating the condition of subjectivity as a special case of pragmatic objectivity, as it appears in this instance, one that involves an element of reflection.
Thus, in asking why, I was trying to puzzle out why life should be divided in this way, half of it interesting and pleasant and half of it boring and unpleasant.
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<p>Thus, in asking ''why'', I was trying to puzzle out why life should be divided in this way, half of it interesting and pleasant and half of it boring and unpleasant.</p>
So let me dispense for the moment, even if this dispensation has to be carried out for now in the flippant manner and the fugal mannerisms of the foregoing counterpoint of discussion, with what I earnestly desire, all in good time and by means of well tempered arguments, to dispense with once and for all: The notion that individual words, sentences, paragraphs, articles, and so on up the scale can be anything like the final arbiters of thought and anything approaching the units of thought of ultimate interest to inquiry. But I want to do this without giving up the spirit of analysis altogether, merely by looking for forms of analysis that are fit to address the "text of inquiry" (TOI) in its full integrity.
|-
| align="right" | Daniel Quinn, ''Ishmael'', [DQ, 12]
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So let me dispense for the moment, even if this dispensation has to be carried out for now in the flippant manner and the fugal mannerisms of the foregoing counterpoint of discussion, with what I earnestly desire, all in good time and by means of well tempered arguments, to dispense with once and for all: The notion that individual words, sentences, paragraphs, articles, and so on up the scale can be anything like the final arbiters of thought and anything approaching the units of thought of ultimate interest to inquiry. But I want to do this without giving up the spirit of analysis altogether, merely by looking for forms of analysis that are fit to address the ''text of inquiry'' (TOI) in its full integrity.
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<p>It was in puzzling out such small matters as these that my interior life began — quite unnoticed.</p>
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| align="right" | Daniel Quinn, ''Ishmael'', [DQ, 12]
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In the process of elucidating the pragmatic point of view and applying it to the present array of problems, it soon becomes useful to examine the very notion of a ''point of view'' (POV). As reflections on the idea of a POV gradually mount up, the analysis of the general conception of a POV begins not only to take on a definite shape for itself, that is, with respect to the conditions it needs for its continued progress, but also to give a determinate, if slightly schematic, form to its object. Eventually, a sufficient confidence in the accumulated developments of the concept of a POV can lead this analysis to the point of suggesting provisional definitions and even to the point of attempting a specific formalization of POVs in general. This series of developments occurs concurrently throughout the construction of the current or any RIF, the necessity of which ought to be clear from the fact that the sequence of POVs from which one reflects is critical to the result and the success of any process of reflection.
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A child hears it said that the stove is hot. But it is not, he says; and, indeed, that central body is not touching it, and only what that touches is hot or cold. But he touches it, and finds the testimony confirmed in a striking way. Thus, he becomes aware of ignorance, and it is necessary to suppose a self in which this ignorance can inhere. ...
<p>A child hears it said that the stove is hot. But it is not, he says; and, indeed, that central body is not touching it, and only what that touches is hot or cold. But he touches it, and finds the testimony confirmed in a striking way. Thus, he becomes aware of ignorance, and it is necessary to suppose a ''self'' in which this ignorance can inhere. …</p>
In short, error appears, and it can be explained only by supposing a self which is fallible.
<p>In short, ''error'' appears, and it can be explained only by supposing a ''self'' which is fallible.</p>
Ignorance and error are all that distinguish our private selves from the absolute ego of pure apperception.
<p>Ignorance and error are all that distinguish our private selves from the absolute ''ego'' of pure apperception.</p>
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| align="right" | (Peirce, CP 5.233–235)
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Peirce makes the point that one's first awareness of a personal existence arises in reaction to the brute impact of experience and is ultimately compounded by way of reflection on its imports. Taking this to echo the exchange between Brutus and Cassius, I have the points that I need to stake out and to sound out a significant portion of the RIF that I intend to discuss.
Peirce makes the point that one's first awareness of a personal existence arises in reaction to the brute impact of experience and is ultimately compounded by way of reflection on its imports. Taking this to echo the exchange between Brutus and Cassius, I have the points that I need to stake out and to sound out a significant portion of the RIF that I intend to discuss.
Before passing over the subject of the JE, in order to continue with a sketch of reflection, it is useful to notice a couple of features that affect this style of movement, as recapitulated in this strophe, and that determine the prospective turns of events, as predicated on its action. In one sense the motion is reversible, since the boundary in the basic state space, once crossed, is easily crossed again. In another sense the transition is irreversible, since what is learned from a single crossing, assuming the agent is capable of acquiring knowledge in the process, is neither so quickly forgotten nor so easily lost.
Before passing over the subject of the JE, in order to continue with a sketch of reflection, it is useful to notice a couple of features that affect this style of movement, as recapitulated in this strophe, and that determine the prospective turns of events, as predicated on its action. In one sense the motion is reversible, since the boundary in the basic state space, once crossed, is easily crossed again. In another sense the transition is irreversible, since what is learned from a single crossing, assuming the agent is capable of acquiring knowledge in the process, is neither so quickly forgotten nor so easily lost.
It is the usual thing, in contemplating the forms of development that are epitomized by the figure of the JE, to find the images of winding gyres and helical ascents coming to mind, in other words, the trajectories of open curves in an extended space that project onto closed curves in a more basic space. In anticipation of later developments, I propose to attribute the "basic" and the "extended" aspects of this strophic segue to its "dynamic" and its "symbolic" components, respectively.
It is the usual thing, in contemplating the forms of development that are epitomized by the figure of the JE, to find the images of winding gyres and helical ascents coming to mind, in other words, the trajectories of open curves in an extended space that project onto closed curves in a more basic space. In anticipation of later developments, I propose to attribute the ''basic'' and the ''extended'' aspects of this strophic segue to its ''dynamic'' and its ''symbolic'' components, respectively.
If it is important, at first sight, to recognize the JE as an irreducible primitive, inscribing its expression of its own being in the self signed tokens of a uniquely traced but perfectly typical autograph, all along personalizing its form of possession with an irrepressible panache, and leaving its legacy in an otherwise irreproducible style of paraph, it is just as important, on second thought, to try various schemes of analysis on it, with the aim, however artificially, of articulating, approximating, or explaining its form.
If it is important, at first sight, to recognize the JE as an irreducible primitive, inscribing its expression of its own being in the self signed tokens of a uniquely traced but perfectly typical autograph, all along personalizing its form of possession with an irrepressible panache, and leaving its legacy in an otherwise irreproducible style of paraph, it is just as important, on second thought, to try various schemes of analysis on it, with the aim, however artificially, of articulating, approximating, or explaining its form.
A number of questions arise at this point, concerning the justification of these moves, not just to justify the initial JE but to rationalize all of the ensuing action that is predicated on it. Just to name a few:
A number of questions arise at this point, concerning the justification of these moves, not just to justify the initial JE but to rationalize all of the ensuing action that is predicated on it. Just to name a few:
# What justifies a particular way of leading experience to reflect on itself?
# What justifies a particular way of causing reflection to comment on itself?
If it is asked, with respect to the legitimacy of all such questions, what is the justification for imposing extraneous ventures and superimposing foreign notions on the otherwise natural course of things, the answer has to be that, otherwise, it could not be articulated at all, and that, once reflected, the naturalness of expression that affected the original intention cannot be recovered without some risk of artificiality.
If it is asked, with respect to the legitimacy of all such questions, what is the justification for imposing extraneous ventures and superimposing foreign notions on the otherwise natural course of things, the answer has to be that, otherwise, it could not be articulated at all, and that, once reflected, the naturalness of expression that affected the original intention cannot be recovered without some risk of artificiality.
To deal with the relationship between the dynamic and the symbolic aspects of the JE, I try a couple of strategies, ranging in character from the casual to the formal.
To deal with the relationship between the dynamic and the symbolic aspects of the JE, I try a couple of strategies, ranging in character from the casual to the formal.
# To start, I adapt an informal distinction between the ''matter'' of a thought and the ''manner'' of thinking it. For example, in the effort to think about uncertainty one hopes to develop a certain concept of it. So, even though one continues to think about uncertainty, one hopes to become fairly certain about it. Here, the matter or content of one's thinking is fixed on uncertainty while the manner or conduct of one's thinking is hoped to change from the dubious to the certain.
# Eventually, it is necessary to develop a formal concept and even a mathematical model of this relationship. To do this, I adopt the intuitive notions of a ''point of view'' (POV) and its ''point of development'' (POD), gradually turning them into formal concepts of a very general character. This requires distinguishing between two kinds of propositions that are associated with POVs and PODs, namely: (a) the propositions that are ''attached to'' or ''contained in'' them, and (b) the propositions that are ''applied to'' or ''maintained about'' them.
Just to give a rough idea of how these two distinctions relate to each other, the matter of a thought corresponds to an "attached" proposition, "in" a POV or "at" a POD, while the manner of a thought corresponds to an "applied" proposition, "on" a POV or "about" a POD. Employing this language to describe the case of an inquiry successfully self applied, one can say the following things. An agent of inquiry has a POV that changes from one POD to the next in a series of developments, and this can be a POV that concerns itself with the question of inquiry, among other things, and thus with the topics of uncertainty and certainty, or doubt and belief. In such a case, as the POV moves from an initial POD to a terminal POD, a part of its matter stays fixed on "doubt", while its whole manner is transformed from one of "doubt" toward one of "belief".
Just to give a rough idea of how these two distinctions relate to each other, the ''matter'' of a thought corresponds to an ''attached'' proposition, ''in'' a POV or ''at'' a POD, while the ''manner'' of a thought corresponds to an ''applied'' proposition, ''on'' a POV or ''about'' a POD. Employing this language to describe the case of an inquiry successfully self-applied, one can say the following things. An agent of inquiry has a POV that changes from one POD to the next in a series of developments, and this can be a POV that concerns itself with the question of inquiry, among other things, and thus with the topics of uncertainty and certainty, or doubt and belief. In such a case, as the POV moves from an initial POD to a terminal POD, a part of its matter stays fixed on ''doubt'', while its whole manner is transformed from one of ''doubt'' toward one of ''belief''.
It is not always necessary to distinguish a POV from each of its POD's, except when one needs to emphasize the dynamic aspect of these ideas, especially the fact that a single POV can pass through or incorporate many different POD's in the course of its development. It is legitimate to say that the POV is present at each of its POD's, or that the POD's are incorporated in their overall POV. Accordingly, it is not always necessary to lose sight of the successive POD's in a series, so long as they are amenable to being incorporated in the last POD, or final POV.
It is not always necessary to distinguish a POV from each of its PODs, except when one needs to emphasize the dynamic aspect of these ideas, especially the fact that a single POV can pass through or incorporate many different PODs in the course of its development. It is legitimate to say that the POV is present at each of its PODs, or that the PODs are incorporated in their overall POV. Accordingly, it is not always necessary to lose sight of the successive PODs in a series, so long as they are amenable to being incorporated in the last POD, or final POV.
When one says that a POV is associated with a particular proposition, whether containing it or instancing it, one always means a POV as it exists at a particular POD, or through a particular range of its POD's. For example, if I say that "J thinks K is smarter than L", then I am implicating a POV that J has at a particular POD, assumed to be capable of specification. Moreover, I am relying on the specific information inherent in this POD to index the particular persons named "K" and "L" that I am assuming J has in mind at that POD. In technical terms, this requires the "intentional context" that is signaled by the verb "thinks", normally "opaque" to all distributions of contextual information from any point outside its frame, to be treated as "transparent" to the packet of information that is assumed to be represented by the POD in question.
When one says that a POV is associated with a particular proposition, whether containing it or instancing it, one always means a POV as it exists at a particular POD, or through a particular range of its PODs. For example, if I say <math>{}^{\backprime\backprime}J ~\text{thinks}~ K ~\text{is smarter than}~ L{}^{\prime\prime},\!</math> then I am implicating a POV that <math>J\!</math> has at a particular POD, assumed to be capable of specification. Moreover, I am relying on the specific information inherent in this POD to index the particular persons <math>K\!</math> and <math>L\!</math> that I am assuming <math>J\!</math> has in mind at that POD. In technical terms, this requires the “intentional context” that is signaled by the verb ''thinks'', normally “opaque” to all distributions of contextual information from any point outside its frame, to be treated as “transparent” to the packet of information that is assumed to be represented by the POD in question.
In the application of mediate interest to this project, a POV corresponds to a computational system, while a POD corresponds to one of its states. It is desirable to have a way of referring to the system as a whole, but in ways that are implicitly quantified by the relevant classes of states. For example, I want to have a system of interpretation in place where it is possible to write "j : x = y" to mean that "j sets x equal to y", to read this as a statement about a system j and two of its stores x and y, and to understand this as a statement that implicitly refers to a set of states that makes it true. Further, I want to recognize this statement as the "active" voice, "attributed" account, or "authorized" version of the more familiar, but "passive", "anonymous", or "unavowed" species of assignment statement "x := y".
In the application of mediate interest to this project, a POV corresponds to a computational system, while a POD corresponds to one of its states. It is desirable to have a way of referring to the system as a whole, but in ways that are implicitly quantified by the relevant classes of states. For example, I want to have a system of interpretation in place where it is possible to write <math>{}^{\backprime\backprime}j : x = y{}^{\prime\prime}\!</math> to mean that <math>{}^{\backprime\backprime}j ~\text{sets}~ x ~\text{equal to}~ y{}^{\prime\prime},\!</math> to read this as a statement about a system <math>j\!</math> and two of its stores <math>x\!</math> and <math>y,\!</math> and to understand this as a statement that implicitly refers to a set of states that makes it true. Further, I want to recognize this statement as the active voice, attributed account, or authorized version of the more familiar, but passive, anonymous, or unavowed species of assignment statement <math>{}^{\backprime\backprime}x := y{}^{\prime\prime}.\!</math>
The rudimentary parallels between these different distinctions should not be treated too rigidly, as a number of finer points about their true relationship remain to be sorted out. The next few remarks are given just to provide a hint of what is involved.
The rudimentary parallels between these different distinctions should not be treated too rigidly, as a number of finer points about their true relationship remain to be sorted out. The next few remarks are given just to provide a hint of what is involved.
Nevertheless, it is important to appreciate that all of these distinctions can become increasingly and divergently relativized as higher orders of reflection on the initial domain of objects turn wider circles of signs around it and heap higher towers of ideas upon it. When this happens, any initial portion of the objective and lower order syntactic domains can form the matter of a thought, while any final portion of the higher order syntactic domains can embody the manner of a thought.
Nevertheless, it is important to appreciate that all of these distinctions can become increasingly and divergently relativized as higher orders of reflection on the initial domain of objects turn wider circles of signs around it and heap higher towers of ideas upon it. When this happens, any initial portion of the objective and lower order syntactic domains can form the matter of a thought, while any final portion of the higher order syntactic domains can embody the manner of a thought.
Here is the critical point. A conceptual distinction is not absolute, but relative to the POV that sees it, makes it, draws it, or uses it. Indeed, one of the reasons for introducing the concept of a POV is to formalize this general insight and thereby to permit reflection on specific POV's. But the intention of this move is to include any distinction that can be made in the process of an inquiry and found essential to its progress. Accordingly, the aim of this insight marks an intention to comprehend, not just the distinctions between previously identified predicates, like the attributes "dubious" and "certain" already mentioned, but also any future distinctions that might be discovered as necessary to inquiry. Almost immediately, for instance, the distinction just made by way of formalizing the concept of a POV, between the "propositions at" and the "propositions about" a POV, falls into the category of distinctions in question, at least, put under examination for the purposes of a review.
Here is the critical point. A conceptual distinction is not absolute, but relative to the POV that sees it, makes it, draws it, or uses it. Indeed, one of the reasons for introducing the concept of a POV is to formalize this general insight and thereby to permit reflection on specific POVs. But the intention of this move is to include any distinction that can be made in the process of an inquiry and found essential to its progress. Accordingly, the aim of this insight marks an intention to comprehend, not just the distinctions between previously identified predicates, like the attributes ''dubious'' and ''certain'' already mentioned, but also any future distinctions that might be discovered as necessary to inquiry. Almost immediately, for instance, the distinction just made by way of formalizing the concept of a POV, between the ''propositions at'' and the ''propositions about'' a POV, falls into the category of distinctions in question, at least, put under examination for the purposes of a review.
Consciousness is a movement which continually annihilates its starting point and can guarantee itself only at the end. In other words, it is something that has meaning only in later figures, since the meaning of a given figure is deferred until the appearance of a new figure.
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<p>Consciousness is a movement which continually annihilates its starting point and can guarantee itself only at the end. In other words, it is something that has meaning only in later figures, since the meaning of a given figure is deferred until the appearance of a new figure.</p>
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| align="right" | Paul Ricoeur, ''The Conflict of Interpretations'', [Ric, 113]
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In a sense, knowledge shrinks as wisdom grows: for details are swallowed up in principles. The details of knowledge which are important will be picked up ad hoc in each avocation of life, but the habit of the active utilisation of well understood principles is the final possession of wisdom.
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<p>In a sense, knowledge shrinks as wisdom grows: for details are swallowed up in principles. The details of knowledge which are important will be picked up ad hoc in each avocation of life, but the habit of the active utilisation of well-understood principles is the final possession of wisdom.</p>
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<p>Alfred North Whitehead, ''The Aims of Education'', [ANW, 46]<br>
cited in Stephen R. Covey, ''First Things First'', [CMM, 71]</p>
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If I reflect on my own POV, it becomes evident that the critical focus and main interest of this inquiry is on the kinds of inquiry that cross a certain threshold, that of becoming deliberately conducted and critically controlled. But in order to remain critical and reflective I have to be interested in both sides of this distinction. This is the usual pattern of the circumspect transition that I just personified in the form of the JE. But here it seems to lead to the disconcerting conclusion that reason is founded on unreason, and that this reason is justified by the end that it leads to, not by the state that it starts in. This sounds ominous and dangerous, but I think that the difficulties it raises are partly verbal, the fault of ambiguities that are quick to right themselves on reflection, but more seriously, partly due to misleading theory of what constitutes a foundation, a theory that tends to be applied on the modern scene as an uncritical reflex of that very same and everyday modern POV.
If I reflect on my own POV, it becomes evident that the critical focus and main interest of this inquiry is on the kinds of inquiry that cross a certain threshold, that of becoming deliberately conducted and critically controlled. But in order to remain critical and reflective I have to be interested in both sides of this distinction. This is the usual pattern of the circumspect transition that I just personified in the form of the JE. But here it seems to lead to the disconcerting conclusion that reason is founded on unreason, and that this reason is justified by the end that it leads to, not by the state that it starts in. This sounds ominous and dangerous, but I think that the difficulties it raises are partly verbal, the fault of ambiguities that are quick to right themselves on reflection, but more seriously, partly due to misleading theory of what constitutes a foundation, a theory that tends to be applied on the modern scene as an uncritical reflex of that very same and everyday modern POV.
One thing is apparent: If reflective inquiry, based on the rationality of the intellectual share of reason, addresses instinctive inquiry, based on the sensibility of the affective, emotional, and motivational portion, as something wholly other, indeed, as its logical opposite, then it obstructs the eventuality and even precludes the possibility of discovering their compatibilities and continuities, and it interferes with the chances of seeing how each form of inquiry completes and extends the other.
One thing is apparent: If reflective inquiry, based on the rationality of the intellectual share of reason, addresses instinctive inquiry, based on the sensibility of the affective, emotional, and motivational portion, as something wholly other, indeed, as its logical opposite, then it obstructs the eventuality and even precludes the possibility of discovering their compatibilities and continuities, and it interferes with the chances of seeing how each form of inquiry completes and extends the other.
====The Light in the Clearing====
====5.3.2. The Light in the Clearing====
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<p>Paul Ricoeur, ''The Conflict of Interpretations'', [Ric, 222],<br>
<p>Paul Ricoeur, ''The Conflict of Interpretations'', [Ric, 222]<br>
quoting Jean Nabert, ''Elements for an Ethic'', [Nab, 77].</p>
quoting Jean Nabert, ''Elements for an Ethic'', [Nab, 77]</p>
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If one accepts the idea that all of these excerpts are expressions of one and the same POV, but considered at different points of development, as enunciated, as reviewed, and as revised over an interval of many years, then they can be taken to illustrate the diverse kinds of changes that occur in the formulation, the development, and the clarification of a continuing POV.
If one accepts the idea that all of these excerpts are expressions of one and the same POV, but considered at different points of development, as enunciated, as reviewed, and as revised over an interval of many years, then they can be taken to illustrate the diverse kinds of changes that occur in the formulation, the development, and the clarification of a continuing POV.
====The Face in the Mirror====
====5.3.3. The Face in the Mirror====
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To draw the conclusion: To say that death is the end of life, in the sense of a goal, is obviously going a bit too far. Death is merely the contingent end of life as form of action, not the intentional end of life as a form of conduct, and all the rest of the confusion is merely verbal equivocation around and about these two senses of an end. In the light of the distinction between action and conduct it is easy to see that death is just a bit beyond the true end of life.
To draw the conclusion: To say that death is the end of life, in the sense of a goal, is obviously going a bit too far. Death is merely the contingent end of life as form of action, not the intentional end of life as a form of conduct, and all the rest of the confusion is merely verbal equivocation around and about these two senses of an end. In the light of the distinction between action and conduct it is easy to see that death is just a bit beyond the true end of life.
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In the same way as it is not sufficient, before beginning to rebuild the house in which one lives, only to pull it down and to provide material and architects, or oneself to try one's hand at architecture, and moreover, to have drawn the plan carefully, but one must also provide oneself with some other accommodation in which to be lodged conveniently while the work is going on, so, also, in order that I might not remain irresolute in my actions during the time that my reason would oblige me to be so in my judgements, and so that I would not cease to live from that time forward as happily as I could, I formed a provisional moral code which consisted of only three or four maxims, which I am willing to disclose.
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<p>In the same way as it is not sufficient, before beginning to rebuild the house in which one lives, only to pull it down and to provide material and architects, or oneself to try one's hand at architecture, and moreover, to have drawn the plan carefully, but one must also provide oneself with some other accommodation in which to be lodged conveniently while the work is going on, so, also, in order that I might not remain irresolute in my actions during the time that my reason would oblige me to be so in my judgements, and so that I would not cease to live from that time forward as happily as I could, I formed a provisional moral code which consisted of only three or four maxims, which I am willing to disclose.</p>
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| align="right" | Rene Descartes, ''Discourse on Method'', [Des, 45]
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The advisability of justifying one's actions as much as one can is clear, but the problems that arise in trying to do so are not trivial, ...
The advisability of justifying one's actions as much as one can is clear, but the problems that arise in trying to do so are not trivial, …
In view of these problems, it is necessary to examine the formation of the JE and to consider its import for the "justification of inquiry" (JOI). It is useful to begin with a traditional idea or a received sense of what a JOI must be. The default justification, that almost everyone seems to fall back on, even when deliberately trying to be critical and reflective, arises from the common notion of a "foundation" as something that forms a necessary prerequisite to all attempts at reasoning.
In view of these problems, it is necessary to examine the formation of the JE and to consider its import for the ''justification of inquiry'' (JOI). It is useful to begin with a traditional idea or a received sense of what a JOI must be. The default justification, that almost everyone seems to fall back on, even when deliberately trying to be critical and reflective, arises from the common notion of a “foundation” as something that forms a necessary prerequisite to all attempts at reasoning.
After giving a critical account of the standard model in the light of a few additional reflections, I review the question of what a real JOI must be like, at least, if it is to allow for inquiry into inquiry and to account for the other features of inquiry already observed. At last, I renew the quest for those JOI's that befit a pragmatic perspective and that can be found within its survey.
After giving a critical account of the standard model in the light of a few additional reflections, I review the question of what a real JOI must be like, at least, if it is to allow for inquiry into inquiry and to account for the other features of inquiry already observed. At last, I renew the quest for those JOIs that befit a pragmatic perspective and that can be found within its survey.
There is a standard sort of proposal to justify inquiry that attempts to place its foundations at the beginning of its process and that insists on making them out as certain. I think it is fitting to describe this as a variety of "fundamentalism". If this form of understanding is submitted to reflection, it begins to look inconsistent, or at least hypocritical, since it promises a distinct JOI, but one that it can just as easily tell, by the right reflection at the outset, is not forthcoming by these means. In essence, it claims to have a different sort of justification for itself than every other claim to one's allegiance, but a careful examination of its more finely printed disclaimers begins to turn up the evidence that this, too, is ultimately on a par with every other belief system, with the technical exception that it demands unquestioning faith at the level of a method rather than on the grounds of a doctrine. Even here, it leaves one wondering how to discern these levels in practice, or whether they can be distinguished in principle.
There is a standard sort of proposal to justify inquiry that attempts to place its foundations at the beginning of its process and that insists on making them out as certain. I think it is fitting to describe this as a variety of ''fundamentalism''. If this form of understanding is submitted to reflection, it begins to look inconsistent, or at least hypocritical, since it promises a distinct JOI, but one that it can just as easily tell, by the right reflection at the outset, is not forthcoming by these means. In essence, it claims to have a different sort of justification for itself than every other claim to one's allegiance, but a careful examination of its more finely printed disclaimers begins to turn up the evidence that this, too, is ultimately on a par with every other belief system, with the technical exception that it demands unquestioning faith at the level of a method rather than on the grounds of a doctrine. Even here, it leaves one wondering how to discern these levels in practice, or whether they can be distinguished in principle.
On this fundamental model of inquiry, any appearance of a passage from doubt to certainty has its authenticity placed in doubt, and begins to have its pretensions of creatively discovering new knowledge fall into question, looking more like the illusions of a derivative performance. Indeed, every semblance of a genuine inquiry is parasitic on the host of axioms and methods already taken for granted, and it creates no greater capital of knowledge than the fund of certainty already established in a prior method of inquiry. In effect, this prior method is taken on faith, since it begs to be imitated in a ritual fashion and to have its formulas, while invoked without question, to be invested with blind forms of trust.
On this fundamental model of inquiry, any appearance of a passage from doubt to certainty has its authenticity placed in doubt, and begins to have its pretensions of creatively discovering new knowledge fall into question, looking more like the illusions of a derivative performance. Indeed, every semblance of a genuine inquiry is parasitic on the host of axioms and methods already taken for granted, and it creates no greater capital of knowledge than the fund of certainty already established in a prior method of inquiry. In effect, this prior method is taken on faith, since it begs to be imitated in a ritual fashion and to have its formulas, while invoked without question, to be invested with blind forms of trust.
In fine, the default manner of approaching the question of foundations makes inquiry into inquiry a moot question, an otiose endeavor that is neither possible to pursue in a bona fide way nor necessary to venture. Given the fundamentalist understanding of inquiry, the application of inquiry to itself can neither accomplish any real purpose nor achieve any goal that is actually at risk. The pretense of establishing the integrity of inquiry under a self-application of its principles always results in something of a put up job, a kangaroo court, or a show trial.
In fine, the default manner of approaching the question of foundations makes inquiry into inquiry a moot question, an otiose endeavor that is neither possible to pursue in a bona fide way nor necessary to venture. Given the fundamentalist understanding of inquiry, the application of inquiry to itself can neither accomplish any real purpose nor achieve any goal that is actually at risk. The pretense of establishing the integrity of inquiry under a self-application of its principles always results in something of a put up job, a kangaroo court, or a show trial.
Under these conditions, the proceedings that declaim themselves to be engaged in honest inquiry are nothing more than a hypocritical display. They imitate the exterior form of a due process, but their judgment is fixed in advance and their conclusion but extravagantly reconstructs a previously settled system of belief, one that is never really doubted or put in question. The outer inquiry in the self-application is not a live inquiry but a "frame" that is prefabricated to isolate the object inquiry. Whether expertly or inertly, it is designed ahead of time to contain and to delimit a picture of inquiry that may or may not already be painted.
Under these conditions, the proceedings that declaim themselves to be engaged in honest inquiry are nothing more than a hypocritical display. They imitate the exterior form of a due process, but their judgment is fixed in advance and their conclusion but extravagantly reconstructs a previously settled system of belief, one that is never really doubted or put in question. The outer inquiry in the self-application is not a live inquiry but a ''frame'' that is prefabricated to isolate the object inquiry. Whether expertly or inertly, it is designed ahead of time to contain and to delimit a picture of inquiry that may or may not already be painted.
Notice that this is not a question of whether the original inquiry is genuine or not. The object inquiry, typically ignited by an external phenomenon, is commonly taken up in good faith, that is, with honest doubts at stake. But when there is never any doubt about what method to use, or about how to use it, or about the chances of its leading to a satisfactory end of the doubts inflamed in the first place, then there is never any need for inquiry into inquiry, and all show of it is vanity.
Notice that this is not a question of whether the original inquiry is genuine or not. The object inquiry, typically ignited by an external phenomenon, is commonly taken up in good faith, that is, with honest doubts at stake. But when there is never any doubt about what method to use, or about how to use it, or about the chances of its leading to a satisfactory end of the doubts inflamed in the first place, then there is never any need for inquiry into inquiry, and all show of it is vanity.
As a result, the fundamental JOI renders the hallowed method of inquiry just another doctrine among others, equal in its manner of justification, its final appeal, and its ultimate justice to every other belief system. But this is not the criticism that finally condemns it. Being just the same as other systems of belief is not the fatal flaw. That only makes all systems of belief equal under the law, if no longer a law of inquiry but a law of compromising positions and convenient resolutions. Still, there would not necessarily have been anything wrong with this, if it were not for the self-imposed burden that inquiry brings down on itself via the dishonesty or the self-deception of promising something else.
As a result, the fundamental JOI renders the hallowed method of inquiry just another doctrine among others, equal in its manner of justification, its final appeal, and its ultimate justice to every other belief system. But this is not the criticism that finally condemns it. Being just the same as other systems of belief is not the fatal flaw. That only makes all systems of belief equal under the law, if no longer a law of inquiry but a law of compromising positions and convenient resolutions. Still, there would not necessarily have been anything wrong with this, if it were not for the self-imposed burden that inquiry brings down on itself via the dishonesty or the self-deception of promising something else.
Could great men thunder
<br>
As Jove himself does, Jove would never be quiet,
For every pelting petty officer
{| align="center" border="0" cellpadding="0" cellspacing="0" style="text-align:left; width:90%"
Would use his heaven for thunder, nothing but thunder.
| colspan="2" | Could great men thunder
Merciful heaven,
|-
Thou rather with thy sharp and sulphurous bolt
| colspan="2" | As Jove himself does, Jove would never be quiet,
Split'st the unwedgeable and gnarled oak
|-
Than the soft myrtle. But man, proud man,
| colspan="2" | For every pelting petty officer
Dressed in a little brief authority,
|-
Most ignorant of what he's most assured,
| colspan="2" | Would use his heaven for thunder, nothing but thunder.
His glassy essence, like an angry ape
|-
Plays such fantastic tricks before high heaven
| colspan="2" | Merciful heaven,
As makes the angels weep, who, with our spleens,
|-
Would all themselves laugh mortal.
| colspan="2" | Thou rather with thy sharp and sulphurous bolt
|-
| colspan="2" | Split'st the unwedgeable and gnarled oak
|-
| colspan="2" | Than the soft myrtle. But man, proud man,
|-
| colspan="2" | Dressed in a little brief authority,
|-
| colspan="2" | Most ignorant of what he's most assured,
|-
| colspan="2" | His glassy essence, like an angry ape
|-
| colspan="2" | Plays such fantastic tricks before high heaven
|-
| colspan="2" | As makes the angels weep, who, with our spleens,
|-
| colspan="2" | Would all themselves laugh mortal.
|-
| width="50%" |
| ''Measure for Measure'', 2.2.113–126
|}
<br>
It is probably wise to stress this point. It is not being claimed that an authority based system of belief, simply by building itself on traditional foundations, is necessarily hypocritical or inconsistent in its own right. It can be as accurate, authentic, and honest in what it says and tries to say as any other belief system or knowledge base. In fact, a modicum of reliance on one source of authority or another is not only prudent but most likely to be found inescapable. Authority based systems, in form so analogous to axiom systems, if not in the context of their use, simply have the specific properties and the generic limitations that they can be observed to have.
It is probably wise to stress this point. It is not being claimed that an authority based system of belief, simply by building itself on traditional foundations, is necessarily hypocritical or inconsistent in its own right. It can be as accurate, authentic, and honest in what it says and tries to say as any other belief system or knowledge base. In fact, a modicum of reliance on one source of authority or another is not only prudent but most likely to be found inescapable. Authority based systems, in form so analogous to axiom systems, if not in the context of their use, simply have the specific properties and the generic limitations that they can be observed to have.
At this point, let authority based systems and axiom systems be lumped together into the same class, at least temporarily, on the basis of the forms of derivation that they allow, and without regard for the different ways that they are initially brought to light or subsequently put to use. Further, let this whole class be described as "founded systems", for the moment ignoring the distinction between informal and formal systems, or regarding all prospectively, in anticipation of their formalizations.
At this point, let authority based systems and axiom systems be lumped together into the same class, at least temporarily, on the basis of the forms of derivation that they allow, and without regard for the different ways that they are initially brought to light or subsequently put to use. Further, let this whole class be described as ''founded systems'', for the moment ignoring the distinction between informal and formal systems, or regarding all prospectively, in anticipation of their formalizations.
Every project of a founded system voluntarily risks certain limitations. But there is one limitation that appears to be a genuine defect from the standpoint of this inquiry, amounting to the chief source of worry that this inquiry has about the whole class of founded systems. This is the fact that whatever acuteness of reverence or accuracy of reference to their objects they do in fact achieve is a matter of grace or luck, and not something that can be subjected to change, criticism, or correction. This puts it outside the sphere of inquiry, as I understand it, even if its formulations are suggested by data within the sphere of experience.
Every project of a founded system voluntarily risks certain limitations. But there is one limitation that appears to be a genuine defect from the standpoint of this inquiry, amounting to the chief source of worry that this inquiry has about the whole class of founded systems. This is the fact that whatever acuteness of reverence or accuracy of reference to their objects they do in fact achieve is a matter of grace or luck, and not something that can be subjected to change, criticism, or correction. This puts it outside the sphere of inquiry, as I understand it, even if its formulations are suggested by data within the sphere of experience.
In effect, there is no amplification of intelligence, no leverage of reason, in short, no instrumental gain or "mechanical advantage" to be acquired from the use of a founded system. It can transmit the force of reason, in a conservative way at best, from premisses to conclusions, but the effective output of the system achieves no greater level of certainty as it bears on any question than the level of authority it can grant itself on input or justly claim for itself at the outset. If I can continue to use the image of a lever, while delaying the examination of its exactness until a later point of this work, it is as if the lack of leverage in a founded system can be traced back to one of several defects:
In effect, there is no amplification of intelligence, no leverage of reason, in short, no instrumental gain or “mechanical advantage” to be acquired from the use of a founded system. It can transmit the force of reason, in a conservative way at best, from premisses to conclusions, but the effective output of the system achieves no greater level of certainty as it bears on any question than the level of authority it can grant itself on input or justly claim for itself at the outset. If I can continue to use the image of a lever, while delaying the examination of its exactness until a later point of this work, it is as if the lack of leverage in a founded system can be traced back to one of several defects:
# The ''fulcrum'' of a founded system, the fixed point of its critique, is the ''examen'' of its critical powers, the tongue of its balance, and this has to be placed so evenly between the objective domain, whereof its ignorance is writ so large, and the fund of applied information, wherein its share of accumulated knowledge resides, that no gain in the effective intelligence of the actions thus founded can be derived.
# A founded system is forced to be a ''grounded system'', that is, one that requires a moderately strong emplacement on grounds already settled and a preponderance of certainty on the side of the applied intelligence.
# In effect, a ''founded or grounded'' (FOG) system requires absolute certainty with respect to some of its points, the points on which it is said to rest. It is as if these fixed points put it in contact with an infinite source of knowledge or connect it to an infinite sink for uncertainties. Of course, a FOG system that casts itself as a beacon of enlightenment and sells itself under the label of “science” can never admit to seeing itself in this image, since the very act of making the claim explicit already puts its grant in jeopardy. But that is what it amounts to, nevertheless.
Another way to see the over-constrained nature of these FOG conditions, for the certainty of foundations, is by expressing them in terms of the ''boundary conditions'' that a given system of belief is assumed to have. In this regard, it helps to make the following definition. An ''open'' system of belief is one that has each of its points ''mediated'' by the system itself, in other words, surrounded by, apprehended within, and evidentially or argumentatively justified by a neighborhood of similar points that falls entirely within the system in question.
When it is considered in the light of this definition of ''openness'', a FOG system is clearly seen to constitute a ''non-open'' system of belief. In short, not all of its axioms, points, or tenets are mediated within the system itself, but have their motives, reasons, and supports lying in points ulterior to it. In hopes of serving both the understanding and the memory, let me try to express this situation in a couple of striking, if slightly ludicrous, metaphors, a pair of judicial, if not entirely judicious, figures of speech:
# The ''corpus delicti'', the body of material evidence and substantial fact that is necessary to justify the institution of the system and the initiation of its every process, is always found to lie in such a disposition that it rests partially beyond the system in question.
# The ''habeas corpus'', the body of probable causes and sufficient reasons that is tendered to justify the holding of certain points, is always deposed in such a demeanor that its true warrant either stays unwrit or is writ largely outside the system in question.
Whether it is verifiably jurisprudent or merely a fantastic simile, whether it is really a conspiracy of their natural bents or purely a coincidence of their accustomed distortions, the parody of a judicial process that one constantly sees being carried on in the name of this or that FOG system, and always apparently up to the limits of their several FOG boundaries, makes a mockery of the spirit of inquiry, and of all its pretensions to a critical reflection, since it places not only the first apprehension but the final justice of such a system beyond all question of executive examination, judicial review, and constitutional amendment. The whole matter is even more deceptive that it appears at first sight, precisely because a FOG system, as lit within, or according to its own lights, often takes on all the appearance of being open. But this is only because the boundaries of its viability and the outlines of the external obstacles that represent a threat to the illusions of its omni pervasiveness are actively being obscured by the limitations inherent in its unreflective nature.
Whether it is verifiably jurisprudent or merely a fantastic simile, whether it is really a conspiracy of their natural bents or purely a coincidence of their accustomed distortions, the parody of a judicial process that one constantly sees being carried on in the name of this or that FOG system, and always apparently up to the limits of their several FOG boundaries, makes a mockery of the spirit of inquiry, and of all its pretensions to a critical reflection, since it places not only the first apprehension but the final justice of such a system beyond all question of executive examination, judicial review, and constitutional amendment. The whole matter is even more deceptive that it appears at first sight, precisely because a FOG system, as lit within, or according to its own lights, often takes on all the appearance of being open. But this is only because the boundaries of its viability and the outlines of the external obstacles that represent a threat to the illusions of its omni pervasiveness are actively being obscured by the limitations inherent in its unreflective nature.
This is just the kind of situation that one would expect in the purely deductive or demonstrative sections of science, for instance, in logics and mathematics of the "purer" and less "applied" sorts. In these more abstract traces and more refined extracts of a fully scientific method, the authority of the conclusions, or the level of certainty achieved on output, is no greater than the authority of the premisses, or the level of certainty possessed on input. Thus, the work of reasoning in such a case is purely "expliative", that is, wholly expository or explicational.
This is just the kind of situation that one would expect in the purely deductive or demonstrative sections of science, for instance, in logics and mathematics of the “purer” and less “applied” sorts. In these more abstract traces and more refined extracts of a fully scientific method, the authority of the conclusions, or the level of certainty achieved on output, is no greater than the authority of the premisses, or the level of certainty possessed on input. Thus, the work of reasoning in such a case is purely ''expliative'', that is, wholly expository or explicational.
But a truly synthetic or "ampliative" analysis should be able to reduce a complex induction to simple inductions, meanwhile gaining a measure of certainty in the process, and all without losing the power to reconstruct the complex from the simple. The perceived gain of practical certainty that develops in this analysis can be explained in the following manner. A complex induction, prior to analysis, is likely to be a very uncertain induction, but is likely to have its certainty shored up if the analysis to simple inductions is successful.
But a truly synthetic or ''ampliative'' analysis should be able to reduce a complex induction to simple inductions, meanwhile gaining a measure of certainty in the process, and all without losing the power to reconstruct the complex from the simple. The perceived gain of practical certainty that develops in this analysis can be explained in the following manner. A complex induction, prior to analysis, is likely to be a very uncertain induction, but is likely to have its certainty shored up if the analysis to simple inductions is successful.
This is a pretty sorry picture, especially in view of all the bright promises of enlightenment through inquiry that inquiry makes, to be a veritable system of belief for constituting systems of veritable belief. But the promise of inquiry to be better than all that, to be an advance over other systems of belief, not just another dogma in the management of uncertainty but a unique way of life, holds out hopes that are still tempting and that deserve to be pursued further. So it is time to ask: If not by means of these foundations, then what form of constitution can provide the sought for JOI?
This is a pretty sorry picture, especially in view of all the bright promises of enlightenment through inquiry that inquiry makes, to be a veritable system of belief for constituting systems of veritable belief. But the promise of inquiry to be better than all that, to be an advance over other systems of belief, not just another dogma in the management of uncertainty but a unique way of life, holds out hopes that are still tempting and that deserve to be pursued further. So it is time to ask: If not by means of these foundations, then what form of constitution can provide the sought for JOI?
Fortunately, there is another JOI, arising from the pragmatic critique of even the most enlightened fundamentalism. If the fundamental approach is viewed as a project to conjoin three positive features — "founding", "beginning", and "certain" — in single point of conceptual architecture, then the pragmatic critique of this plan can be understood as objecting that this point is overloaded. There are ways to preserve this triarchic association, but not without protracting other angles of approach to the juncture and not without compassing other senses of the terms than the meanings originally intended. It is perhaps easier just to abrogate one of the terms, either rescinding its constraint or trading it in for its logical negation.
Fortunately, there is another JOI, arising from the pragmatic critique of even the most enlightened fundamentalism. If the fundamental approach is viewed as a project to conjoin three positive features — ''founding'', ''beginning'', and ''certain'' — in a single point of conceptual architecture, then the pragmatic critique of this plan can be understood as objecting that this point is overloaded. There are ways to preserve this triarchic association, but not without protracting other angles of approach to the juncture and not without compassing other senses of the terms than the meanings originally intended. It is perhaps easier just to abrogate one of the terms, either rescinding its constraint or trading it in for its logical negation.
The pragmatic approach to the foundations of inquiry, more precisely, its approach to the hoped for JOI, whether or not this leaves room in the end for a notion of secure foundations, suggests that reason does begin with unreason, but only in the sense that inquiry starts from a state of uncertainty. If one objects that this doubt is not radical, because many things in the meantime are never in fact doubted at all, then this is correct, but only in the sense that these things are not doubted because they are never even consciously questioned. If that sort of lack of doubt is the type one plans to found their reason on, then I think it is a very fond notion indeed.
The pragmatic approach to the foundations of inquiry, more precisely, its approach to the hoped for JOI, whether or not this leaves room in the end for a notion of secure foundations, suggests that reason does begin with unreason, but only in the sense that inquiry starts from a state of uncertainty. If one objects that this doubt is not radical, because many things in the meantime are never in fact doubted at all, then this is correct, but only in the sense that these things are not doubted because they are never even consciously questioned. If that sort of lack of doubt is the type one plans to found their reason on, then I think it is a very fond notion indeed.
<br>
{| align="center" border="0" cellpadding="0" cellspacing="0" style="text-align:left; width:90%"
| colspan="2" | There's a double meaning in that.
|-
| width="50%" |
| ''Much Ado About Nothing'', 2.3.246
|}
<br>
How is it possible for one to use an organization of thought in order to think about that same organization of thought, or indeed, about others? How is it possible to draw distinctions, even the most basic distinctions necessary to thought, in such a way that they can be redrawn and even withdrawn when necessary? In other words, what are the conditions for having a "critical reflection of inquiry" (CROI), a system of assumptions and methods that acts continuously and self-correctively to constitute a critically reflective belief system? This would be tantamount to a POV where no assumption is forced to be taken for granted, even if at any given moment many assumptions are contingently being acted on just as if they were true. For instance, if a distinction between dynamic and symbolic systems, or aspects of systems, is a part of one's present POV, to what extent can one reflect on that fact, and thus be able to think about alternative POV's or to think about changing one's current POV?
(Yes, there is a subtext. (There is always a subtext.) A reader who has access to the subtext, who can read it in the face of the pretext, and who remains both sensitive to and sensible about its connotations, is already beginning to suspect that what I intend to argue in the end is exactly that the chief justification of inquiry is nothing less and nothing more than the pure joy of it. But the moment that I depend on this subtext to carry the logical argument, to go beyond supporting the intuition and encouraging the effort of reasoning, is the moment that I utterly fail in my intention. This bears on the matter of a harmonious balance between rhetoric and logic, where the former appreciates and is bound to consider the affective and the impressionable nature of the interpreter, and takes into account the need for reason's ponderous beacon to be buoyed over the deep by incidental glosses and light exhortations.)
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|
<p>Self-awareness is our capacity to stand apart from ourselves and examine our thinking, our motives, our history, our scripts, our actions, and our habits and tendencies. It enables us to take off our “glasses” and look at them as well as through them. It makes it possible for us to become aware of the social and psychic history of the programs that are in us and to enlarge the separation between stimulus and response.</p>
|-
| align="right" | Covey, Merrill, and Merrill, ''First Things First'', [CMM, 59]
|}
How is it possible for one to use an organization of thought in order to think about that same organization of thought, or indeed, about others? How is it possible to draw distinctions, even the most basic distinctions necessary to thought, in such a way that they can be redrawn and even withdrawn when necessary? In other words, what are the conditions for having a ''critical reflection of inquiry'' (CROI), a system of assumptions and methods that acts continuously and self-correctively to constitute a critically reflective belief system? This would be tantamount to a POV where no assumption is forced to be taken for granted, even if at any given moment many assumptions are contingently being acted on just as if they were true. For instance, if a distinction between dynamic and symbolic systems, or aspects of systems, is a part of one's present POV, to what extent can one reflect on that fact, and thus be able to think about alternative POVs or to think about changing one's current POV?
This ends my preview of the kinds of issues that the pragmatic theory of sign relations and their reflective extensions is intended to comprehend.
This ends my preview of the kinds of issues that the pragmatic theory of sign relations and their reflective extensions is intended to comprehend.
In the sequel I propose a particular way of approaching these problems. I introduce a simplified model of the general situation to be addressed, but one with sufficient structure to embody analogous versions of many of the problems and phenomena of ultimate interest. By exploring the issues that develop in this miniature model, and by looking for ways of resolving them that work on this scale, I hope to gain insight into ways of dealing with the corresponding issues in the larger study of inquiry.
In the sequel I propose a particular way of approaching these problems. I introduce a simplified model of the general situation to be addressed, but one with sufficient structure to embody analogous versions of many of the problems and phenomena of ultimate interest. By exploring the issues that develop in this miniature model, and by looking for ways of resolving them that work on this scale, I hope to gain insight into ways of dealing with the corresponding issues in the larger study of inquiry.
To be specific, I restrict my discussion at first to "propositional" or "sentential" models of POV's, and I examine a particular type of logical strategy that allows agents operating within this framework to describe the constitutions of a broad class of POV's. If this strategy turns out to be flexible enough, it can permit agents to reflect on the bases and the biases of their POV's and those of others, at least, to some degree.
To be specific, I restrict my discussion at first to ''propositional'' or ''sentential'' models of POVs, and I examine a particular type of logical strategy that allows agents operating within this framework to describe the constitutions of a broad class of POVs. If this strategy turns out to be flexible enough, it can permit agents to reflect on the bases and the biases of their POVs and those of others, at least, to some degree.
This circumscription of expressions with a double meaning properly constitutes the hermeneutic field.
{| align="center" cellpadding="0" cellspacing="0" width="90%"
|
<p>This circumscription of expressions with a double meaning properly constitutes the hermeneutic field.</p>
|-
| align="right" | Paul Ricoeur, ''The Conflict of Interpretations'', [Ric, 13]
|}
Even with its meaning duly circumscribed, "reflection" retains the dual senses of an " ionized" word, referring to both a process and a result. As such, it is already on its way to becoming a highly charged term in this investigation. Even though a complete analysis of inquiry, from the top to the bottom of its putative hierarchy, is yet to be made available, the tendency to invoke "reflection" at every step and stage of inquiry is already apparent. This is clear from the fragmentary and scattered, but steadily mounting evidence of the word's textual circumstances that is currently piling up at the level of inquiry's most primitive details.
Even with its meaning duly circumscribed, “reflection” retains the dual senses of an “-ionized” word, referring to both a process and a result. As such, it is already on its way to becoming a highly charged term in this investigation. Even though a complete analysis of inquiry, from the top to the bottom of its putative hierarchy, is yet to be made available, the tendency to invoke “reflection” at every step and stage of inquiry is already apparent. This is clear from the fragmentary and scattered, but steadily mounting evidence of the word's textual circumstances that is currently piling up at the level of inquiry's most primitive details.
In other words, the constant invocation of "reflection" as an auxiliary to inquiry is apparent from the elementary syntactic fact that the charge of "reflection" is found in the mission statements of so many processes that are already noted to be involved in inquiry. In this connection, any time one senses the need to add the adjective "reflective" to the title of an agent, process, or faculty, then it speaks to the suspicion that the simple carrying out of actions and the perfunctory execution of procedures is not enough for the sake of composing intelligent conduct, but that there is an obligation to adjoin a component of reflection to whatever else is going on.
In other words, the constant invocation of “reflection” as an auxiliary to inquiry is apparent from the elementary syntactic fact that the charge of “reflection” is found in the mission statements of so many processes that are already noted to be involved in inquiry. In this connection, any time one senses the need to add the adjective “reflective” to the title of an agent, process, or faculty, then it speaks to the suspicion that the simple carrying out of actions and the perfunctory execution of procedures is not enough for the sake of composing intelligent conduct, but that there is an obligation to adjoin a component of reflection to whatever else is going on.
The elliptic nature of the discussion in this subsection, touching on topics that must be left in the forms of questions, raising issues that cannot be answered or even fully addressed until later sections of this project, lighting on a range of promontories in a field of problematic icebergs, and glancing up against problems that stay largely submerged and keep barely connected only through a medium of chance associations constantly in flux — all of this makes it advisable for the writer to come up with a device for continually warning the reader of the text's approaching discontinuities.
The elliptic nature of the discussion in this subsection, touching on topics that must be left in the forms of questions, raising issues that cannot be answered or even fully addressed until later sections of this project, lighting on a range of promontories in a field of problematic icebergs, and glancing up against problems that stay largely submerged and keep barely connected only through a medium of chance associations constantly in flux — all of this makes it advisable for the writer to come up with a device for continually warning the reader of the text's approaching discontinuities.
In view of these requirements, the text proceeds by highlighting a number of thematic points that find themselves to be reinforced in prior stages of its own construction, not all of which stages survive erasure enough to be explicitly marked in the text, and all in all continuing to develop as if by a pattern of constructive and destructive interference. It is hoped that this can reveal significant aspects, however partial and confounded, of its subject, its medium, and the forms that shape them.
In view of these requirements, the text proceeds by highlighting a number of thematic points that find themselves to be reinforced in prior stages of its own construction, not all of which stages survive erasure enough to be explicitly marked in the text, and all in all continuing to develop as if by a pattern of constructive and destructive interference. It is hoped that this can reveal significant aspects, however partial and confounded, of its subject, its medium, and the forms that shape them.
A few words need to be spent in advance on the status of these points. Most of them are no longer controversial from my current POV, indeed, they partially constitute that POV. However, I recognize that some of them are likely to be controversial from the perspective of other POV's. Thus, these points are not intended to be taken as self-evident axioms, the kinds of logistical supports on the basis of which one customarily and confidently marches forward to the conquest of ever more powerful theorems. It is true that one of the best ways of testing these points is to take them up as premisses and to reason forward from them as far as one can. But the main reason for pointing them out in an explicit form of expression is so that their meanings, their logical implications, and their practical consequences can be examined in a circumspect light.
A few words need to be spent in advance on the status of these points. Most of them are no longer controversial from my current POV, indeed, they partially constitute that POV. However, I recognize that some of them are likely to be controversial from the perspective of other POVs. Thus, these points are not intended to be taken as self-evident axioms, the kinds of logistical supports on the basis of which one customarily and confidently marches forward to the conquest of ever more powerful theorems. It is true that one of the best ways of testing these points is to take them up as premisses and to reason forward from them as far as one can. But the main reason for pointing them out in an explicit form of expression is so that their meanings, their logical implications, and their practical consequences can be examined in a circumspect light.
In short, none of the points to be staked out here is taken as evident or proven, and nothing of final certainty can be proved from them, but a demonstration can be made from them in the sense of an illustration, showing and testing their strength, trustworthiness, and utility for organizing an otherwise overwhelming complexity and depth of material. This process of examination and clarification, just as often as it has to reason forward, in the direction of the contingent theorems, also has to reason backward, to interrogate the mediately obvious principals and to ask whether more basic points can be discerned, as if lurking within the points already noted and secretly required to shore them up.
In short, none of the points to be staked out here is taken as evident or proven, and nothing of final certainty can be proved from them, but a demonstration can be made from them in the sense of an illustration, showing and testing their strength, trustworthiness, and utility for organizing an otherwise overwhelming complexity and depth of material. This process of examination and clarification, just as often as it has to reason forward, in the direction of the contingent theorems, also has to reason backward, to interrogate the mediately obvious principals and to ask whether more basic points can be discerned, as if lurking within the points already noted and secretly required to shore them up.
Out of this material I need to develop a method of inquiry, one that is extensible to its self-application. As an adjunct, or in adjutant fashion, I need to develop a justification of this method that can lend support to the justification of inquiry in general, and in its turn help to justify the application of inquiry to itself. Accordingly, the prospective aim to be sighted through the series of points ahead, and the line of survey to be projected through the elliptic text that charts it, are directed toward an effective theory of sign relations, one that is capable of resolving some of the subtleties it discerns in discourse, on occasions when a resolution is what is called for.
Out of this material I need to develop a method of inquiry, one that is extensible to its self-application. As an adjunct, or in adjutant fashion, I need to develop a justification of this method that can lend support to the justification of inquiry in general, and in its turn help to justify the application of inquiry to itself. Accordingly, the prospective aim to be sighted through the series of points ahead, and the line of survey to be projected through the elliptic text that charts it, are directed toward an effective theory of sign relations, one that is capable of resolving some of the subtleties it discerns in discourse, on occasions when a resolution is what is called for.
====Points Forward====
====5.3.4. Points Forward====
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'''Point 1.''' Thought takes place in signs.
Point 1. Thought takes place in signs.
This makes a sign relation the setting of thought, where thought occurs. In particular, the connotative plane of a sign relation is the medium of thought proper, and the denotative plane of a sign relation embodies the lines of thought's orientation toward its objects.
This makes a sign relation the setting of thought, where thought occurs. In particular, the connotative plane of a sign relation is the medium of thought proper, and the denotative plane of a sign relation embodies the lines of thought's orientation toward its objects.
This point is one that may be thought controversial, until it is realized that the meaning of the term "sign" is being extended to cover anything that might conceivably occur in thought. Far from intending to restrict thought to a circumscribed domain of signs, it expands the definition of "sign" to encompass anything that might enter into thought, so long as this entrance into thought is understood not in the sense of being its object but as something that lends a place to it. Properly taken, this point is tantamount to an empirical definition of the term "sign", more like an indication of where in experience a ready supply of examples can be found. It says that if you seek signs then look to your thoughts.
This point is one that may be thought controversial, until it is realized that the meaning of the term “sign” is being extended to cover anything that might conceivably occur in thought. Far from intending to restrict thought to a circumscribed domain of signs, it expands the definition of “sign” to encompass anything that might enter into thought, so long as this entrance into thought is understood not in the sense of being its object but as something that lends a place to it. Properly taken, this point is tantamount to an empirical definition of the term “sign”, more like an indication of where in experience a ready supply of examples can be found. It says that if you seek signs then look to your thoughts.
Point 2. Thinking is a form of conduct.
'''Point 2.''' Thinking is a form of conduct.
Conduct is action with a purpose. Synonymous with the term "purpose", as used in this statement, is "aim", "end", "goal", or "object". The object domain of a sign relation is the place where these objects are envisioned to be, and thinking is the action that is carried out with a view to these ends.
Conduct is action with a purpose. Synonymous with the term “purpose”, as used in this statement, are “aim”, “end”, “goal”, or “object”. The object domain of a sign relation is the place where these objects are envisioned to be, and thinking is the action that is carried out with a view to these ends.
Rightly taken, this point, too, is purely definitional. It classifies thinking as a species of action that has, or is meant to have, a purpose. In particular, thinking is the kind of action that passes from sign to interpretant sign in relation to an object. If one wishes to object that not all that passes for thinking has any assignable purpose, and if one desires to maintain an alternative POV that recognizes forms of aimless thinking, then it is nothing more than a technical problem to translate between the two ways of thinking, reclassifing unconducive thinking as a "degenerate form" from the standpoint of the pragmatic POV.
Rightly taken, this point, too, is purely definitional. It classifies thinking as a species of action that has, or is meant to have, a purpose. In particular, thinking is the kind of action that passes from sign to interpretant sign in relation to an object. If one wishes to object that not all that passes for thinking has any assignable purpose, and if one desires to maintain an alternative POV that recognizes forms of aimless thinking, then it is nothing more than a technical problem to translate between the two ways of thinking, reclassifying unconducive thinking as a “degenerate form” from the standpoint of the pragmatic POV.
Point 3. Reflection on thinking is reflection on conduct.
'''Point 3.''' Reflection on thinking is reflection on conduct.
Even though it can appear too evident, too immediate, and too obvious to bear pointing out, there are several good reasons to make a point of noticing this simple corollary of the previous point, namely, that if thinking is a special case of conduct then reflection on thinking is a special case of reflection on conduct.
Even though it can appear too evident, too immediate, and too obvious to bear pointing out, there are several good reasons to make a point of noticing this simple corollary of the previous point, namely, that if thinking is a special case of conduct then reflection on thinking is a special case of reflection on conduct.
First of all, it means that reflection on thinking and relection on conduct have a reciprocal bearing on each other, the way that special cases and general types always do. Reflection on thinking can tell us something about reflection on conduct in general. This is because the special case informs the general type and can be used inductively to discover its possible properties. Reflection on conduct in general can tell us something about reflection on thinking. This is because the general type constrains the special case and can be used deductively to derive its necessary properties.
First of all, it means that reflection on thinking and reflection on conduct have a reciprocal bearing on each other, the way that special cases and general types always do. Reflection on thinking can tell us something about reflection on conduct in general. This is because the special case informs the general type and can be used inductively to discover its possible properties. Reflection on conduct in general can tell us something about reflection on thinking. This is because the general type constrains the special case and can be used deductively to derive its necessary properties.
(Bearing on the order of the normative sciences : logic < ethics < aesthetics?)
logic < ethics < aesthetics
There is more to this point than first meets the eye, especially when it is considered in the light of its abstract form. Aside from its present application to the matters of reflection, thinking, and conduct, one can see in this instance the form of a distributive law, that distributes an operation ("reflection") across a relation ("implication" or "inclusion"), and where this order of dyadic relation is the very one that constitutes the ordering of special cases under general forms. The point of this is that the general intention of this dyadic relation, in its full extension, must be to capture the relation of a special application of any principle (say, a distributive law) to its own general formulation. For instance, therefore, reflection on a special kind of distribution is a special kind of reflection on distribution in general.
There is more to this point than first meets the eye, especially when it is considered in the light of its abstract form. Aside from its present application to the matters of reflection, thinking, and conduct, one can see in this instance the form of a distributive law, that distributes an operation (“reflection”) across a relation (“implication” or “inclusion”), and where this order of dyadic relation is the very one that constitutes the ordering of special cases under general forms. The point of this is that the general intention of this dyadic relation, in its full extension, must be to capture the relation of a special application of any principle (say, a distributive law) to its own general formulation. For instance, therefore, reflection on a special kind of distribution is a special kind of reflection on distribution in general.
In light of these relations between the specialization of thinking and the general capacity for conduct, I can now turn to a logical analysis of the concept of conduct for the light it reflects on the nature of thought.
In light of these relations between the specialization of thinking and the general capacity for conduct, I can now turn to a logical analysis of the concept of conduct for the light it reflects on the nature of thought.
Point 4.
'''Point 4.''' Conduct = (Act, End) = (State<sub>1</sub>, State<sub>2</sub>, State<sub>3</sub>).
One can say that a conduct is a pair comprised of an act and an end. In this formula, the act can be anything from a complex activity to an extended action and the end can be anywhere among a vast diversity of destinations that are found to be encompassed by a general description. If it is recognized that the data needed to specify a minimum of action, a mere transition, is an ordered pair of states, and if it is remembered that the data appropriate to specifying a singular end is a single state, then an element of conduct, at its minimum, can be conceived to consist of an ordered triple of states.
One can say that a conduct is a pair comprised of an act and an end. In this formula, the act can be anything from a complex activity to an extended action and the end can be anywhere among a vast diversity of destinations that are found to be encompassed by a general description. If it is recognized that the data needed to specify a minimum of action, a mere transition, is an ordered pair of states, and if it is remembered that the data appropriate to specifying a singular end is a single state, then an element of conduct, at its minimum, can be conceived to consist of an ordered triple of states.
Point 5. Reflection, joined to conduct, generates an image of it.
'''Point 5.''' Reflection, joined to conduct, generates an image of it.
Reflection on conduct produces an image of that conduct. In relation to the active nature of the conduct the image is just what its etymology says it is, an inactive sign or an inert icon of the action. The image of a conduct presents itself as a hypothesis about it, a tentative decription that may or may be accurate out of the starting blocks and may or may not continue to be useful in the long run.
Reflection on conduct produces an image of that conduct. In relation to the active nature of the conduct the image is just what its etymology says it is, an inactive sign or an inert icon of the action. The image of a conduct presents itself as a hypothesis about it, a tentative description that may or may not be accurate out of the starting blocks and may or may not continue to be useful in the long run.
Point 6. There is a type of reflection that only reproduces the images produced by previous reflections.
'''Point 6.''' There is a type of reflection that only reproduces the images produced by previous reflections.
The images produced by this kind of reflection, affected by an imitative or nearly identical character, can be referred to as "reproductions", "stereotypes", or "simple copies". A reproductive reflection has the option of attaching additional marks to distinguish the reproduced copy from the original image. If it does add a distinguishing mark or a distinctive notation to identify the source, then one has the type of reproduction that can safely be regarded as a reflective "quotation".
The images produced by this kind of reflection, affected by an imitative or nearly identical character, can be referred to as “reproductions”, “stereotypes”, or “simple copies”. A reproductive reflection has the option of attaching additional marks to distinguish the reproduced copy from the original image. If it does add a distinguishing mark or a distinctive notation to identify the source, then one has the type of reproduction that can safely be regarded as a reflective “quotation”.
Point 7. There is a type of reflection that captures an extended sequence of events in a single image.
'''Point 7.''' There is a type of reflection that captures an extended sequence of events in a single image.
The images produced by this kind of reflection, affected by a creative, critical, reductive, selective, or truly imaginative character, using manners of plastic representation that can condense, edit, summarize, and transform, all at the risk of serious distortions that go beyond simple errors in the transmission, can be referred to as "adaptations", "redactions", "renditions", "versions", or "transformed interpretations".
The images produced by this kind of reflection, affected by a creative, critical, reductive, selective, or truly imaginative character, using manners of plastic representation that can condense, edit, summarize, and transform, all at the risk of serious distortions that go beyond simple errors in the transmission, can be referred to as “adaptations”, “redactions”, “renditions”, “versions”, or “transformed interpretations”.
These effect of reflection, when it is efficient, is to do just this, to produce a single image that captures a poignant, salient, or relevant aspect of an entire dramatic sequence.
These effect of reflection, when it is efficient, is to do just this, to produce a single image that captures a poignant, salient, or relevant aspect of an entire dramatic sequence.
Point 8. Inquiry, if deliberate and critical, involves reflection.
'''Point 8.''' Inquiry, if deliberate and critical, involves reflection.
The capacity for reflection is necessary to carry out the deliberately conducted and critically controlled varieties of inquiry that make up the principal interest of this work, and especially to entertain any form of inquiry into inquiry.
The capacity for reflection is necessary to carry out the deliberately conducted and critically controlled varieties of inquiry that make up the principal interest of this work, and especially to entertain any form of inquiry into inquiry.
The pragmatic theory of signs sets the stage for a broad definition of inquiry. It includes under "inquiry" all the fortuitous and instinctive processes that agents exploit to escape from states of uncertainty, to soothe the "irritation of doubt", in Peirce's phrase, along with all the deliberate and intelligent procedures that enable communities of agents to deal in systematic ways with the surprises and the problems that they encounter in their several and common experiences. At one end of this spectrum, the more incidental, instinctive, and casually intuitive forms of inquiry can be carried on without the interruptions of critical reflection. But an intelligent inquiry is necessarily a reflective inquiry.
The pragmatic theory of signs sets the stage for a broad definition of inquiry. It includes under “inquiry” all the fortuitous and instinctive processes that agents exploit to escape from states of uncertainty, to soothe the “irritation of doubt”, in Peirce's phrase, along with all the deliberate and intelligent procedures that enable communities of agents to deal in systematic ways with the surprises and the problems that they encounter in their several and common experiences. At one end of this spectrum, the more incidental, instinctive, and casually intuitive forms of inquiry can be carried on without the interruptions of critical reflection. But an intelligent inquiry is necessarily a reflective inquiry.
Point 9. The need for a capacity of reflection is the reflection of a certain incapacity to see certain things without it.
'''Point 9.''' The need for a capacity of reflection is the reflection of a certain incapacity to see certain things without it.
This point has a bearing on the capacity that one has to recognize one's own character as an objective form of being and to realize it within an active pattern of conduct.
This point has a bearing on the capacity that one has to recognize one's own character as an objective form of being and to realize it within an active pattern of conduct.
Point 10. At this point, the circumstances bearing on the previous few points interact in such a way as to produce a series of further points.
'''Point 10.''' At this point, the circumstances bearing on the previous few points interact in such a way as to produce a series of further points.
Expressed in an abstract fashion, the injunction of a reflective capacity and the injunction of a capacity limitation are recognized to impinge on each other in a way that brings to light a number of additional issues. Expressed in more concrete detail, the experiential instances that lead to the formation of these two points in the first place, as organizing poles of topics explicitly noticed, and that continue to surround their particular arrangements,
Expressed in abstract fashion, the injunction of a reflective capacity and the injunction of a capacity limitation are recognized to impinge on each other in a way that brings to light a number of additional issues. Expressed in more concrete detail, the experiential instances that lead to the formation of these two points in the first place, as organizing poles of topics explicitly noticed, and that continue to surround their particular arrangements, …
Point 11. Computational models of intelligent agents are limited to the consideration of "finitely informed constructions and computations", or as I more affectionately call them, "finitely informed creatures" (FIC's).
'''Point 11.''' Computational models of intelligent agents are limited to the consideration of “finitely informed constructions and computations”, or as I more affectionately call them, ''finitely informed creatures'' (FICs).
This point arises as a specialization of the point about capacity limits, where the discussion is restricted to the kinds of interpretive agents and the models of interpretive faculties that are available in a computational framework.
This point arises as a specialization of the point about capacity limits, where the discussion is restricted to the kinds of interpretive agents and the models of interpretive faculties that are available in a computational framework.
Something is a FIC to the extent that it falls into any of the following sorts: (1) anything that exists in the form of a finite number of bits, (2) anything whose objective being can be described in terms of a finite number of bits, or (3) anything whose moment to moment activity can be specified by means of a finite number of bits.
Something is a FIC to the extent that it falls into any of the following sorts:
# Anything that exists in the form of a finite number of bits,
# Anything whose objective being can be described in terms of a finite number of bits,
# Anything whose moment to moment activity can be specified by means of a finite number of bits.
Notice that this depiction makes being a FIC a term of description, and thus of possible approximation, not of necessity an exact definition of the thing's essential substance. An objective being or a real activity, even one that escapes all bounds of finite description, can be usefully represented "as" or "by means of" a FIC precisely to the extent that a particular description of it in this form succeeds in helping the agent concerned to orient toward its underlying reality and to deal with its ultimate consequences.
Notice that this depiction makes being a FIC a term of description, and thus of possible approximation, not of necessity an exact definition of the thing's essential substance. An objective being or a real activity, even one that escapes all bounds of finite description, can be usefully represented “as” or “by means of” a FIC precisely to the extent that a particular description of it in this form succeeds in helping the agent concerned to orient toward its underlying reality and to deal with its ultimate consequences.
Point 12. Reflection involves higher orders of sign relations.
'''Point 12.''' Reflection involves higher orders of sign relations.
As a minimum requirement, a capacity for reflection implies an ability to generate names for the elements, processes, and principles of thought. Assuming the tenet of pragmatism that all thought takes place in signs, this is tantamount to having signs for signs, signs for sign processes, and signs for sign relations. Further, each higher order sign that is generated in a process of reflection is required to take its place and to find its meaning within a correspondingly higher order sign relation.
As a minimum requirement, a capacity for reflection implies an ability to generate names for the elements, processes, and principles of thought. Assuming the tenet of pragmatism that all thought takes place in signs, this is tantamount to having signs for signs, signs for sign processes, and signs for sign relations. Further, each higher order sign that is generated in a process of reflection is required to take its place and to find its meaning within a correspondingly higher order sign relation.
In this connection, the designation "higher order" (HO) can be used as a generic adjective to describe a sign of any object whose nature it is to involve signs as a part of its being. The use of this adjective is subject to extension in natural ways to describe not only entire classes of signs but also the kinds of sign relations that involve them.
In this connection, the designation ''higher order'' (HO) can be used as a generic adjective to describe a sign of any object whose nature it is to involve signs as a part of its being. The use of this adjective is subject to extension in natural ways to describe not only entire classes of signs but also the kinds of sign relations that involve them.
In order to reflect on signs themselves, it is necessary to have signs for signs, a necessary supply of which can be generated by quotation. But reflection on sign processes requires a much larger supply of signs. Initially, it requires a HO sign for each sign transition that actually occurs, that is, a name for each ordered pair of signs that is observed. Eventually, it requires a HO sign for each sign sequence that actually appears in experience, that is, a name for each k tuple of signs seen. And reflection on sign relations requires an even larger stock of signs. It requires, initially, a HO sign for each sign transaction of the form <o, s, i> that is observed in experience and, ultimately, a HO sign for each sign relation that is encountered in experience or contemplated in a hypothetical situation.
In order to reflect on signs themselves, it is necessary to have signs for signs, a necessary supply of which can be generated by quotation. But reflection on sign processes requires a much larger supply of signs. Initially, it requires a HO sign for each sign transition that actually occurs, that is, a name for each ordered pair of signs that is observed. Eventually, it requires a HO sign for each sign sequence that actually appears in experience, that is, a name for each <math>k\!</math>-tuple of signs seen. And reflection on sign relations requires an even larger stock of signs. It requires, initially, a HO sign for each sign transaction of the form <math>(o, s, i)\!</math> that is observed in experience and, ultimately, a HO sign for each sign relation that is encountered in experience or contemplated in a hypothetical situation.
If reflection is to constitute more than a transient form of observation, then provision needs to be made for permanently recording its HO signs. Under these conditions the capacity for instituting and maintaining an order of reflection is just a capacity for creating and storing HO signs.
If reflection is to constitute more than a transient form of observation, then provision needs to be made for permanently recording its HO signs. Under these conditions the capacity for instituting and maintaining an order of reflection is just a capacity for creating and storing HO signs.
This gives a brief glimpse of the issues involved in the effort toward reflection and the roughest possible estimate of the kinds of growth rates in the population of HO signs that are engendered by the need to provide a durable and stable medium for reflection. Further discussion of these topics can be put off to a later point. At this point it only needs to be clear that the injunction of a reflective capacity and the injunction of capacity limitations have an acute bearing on each other.
This gives a brief glimpse of the issues involved in the effort toward reflection and the roughest possible estimate of the kinds of growth rates in the population of HO signs that are engendered by the need to provide a durable and stable medium for reflection. Further discussion of these topics can be put off to a later point. At this point it only needs to be clear that the injunction of a reflective capacity and the injunction of capacity limitations have an acute bearing on each other.
The combinatorial explosion engendered by reflection impinges on the capacity limitations of a FIC with such an impact that neither the standpoints of "naive empiricism" or "naive intuitionism" can continue to support viable forms of inquiry.
The combinatorial explosion engendered by reflection impinges on the capacity limitations of a FIC with such an impact that neither the standpoints of “naive empiricism” or “naive intuitionism” can continue to support viable forms of inquiry.
This is what makes the mediation of a "higher order hypothesis" (HOH), a hypothesis about the qualifications of a hypothesis, or a hypothesis about what can count as a hypothesis, so essential to the life of a FIC.
This is what makes the mediation of a ''higher order hypothesis'' (HOH), a hypothesis about the qualifications of a hypothesis, or a hypothesis about what can count as a hypothesis, so essential to the life of a FIC.
The process of generating signs that refer to things already signs is incited by a syntactic operation that is commonly called a "quotation". Strictly speaking, the descriptive term "quotation" refers to generic class of syntactic functions, each of which maps one order of signs into the next higher order of signs. A proper form of quotation function is required to map signs in a one to one or "injective" fashion, and thus associates each element of its source domain with a HO sign that denotes it and it alone. In short, a quotation produces a unique "name" or a distinctive "number" to index each piece its source material.
The process of generating signs that refer to things already signs is incited by a syntactic operation that is commonly called a “quotation”. Strictly speaking, the descriptive term “quotation” refers to generic class of syntactic functions, each of which maps one order of signs into the next higher order of signs. A proper form of quotation function is required to map signs in a one to one or “injective” fashion, and thus associates each element of its source domain with a HO sign that denotes it and it alone. In short, a quotation produces a unique “name” or a distinctive “number” to index each piece its source material.
Some sort of quotation operation has to be made available as a standard mechanism to support almost any level of theoretical discussion about syntax. In computational settings, various types of quotation operation need to be implemented as computable functions and provided among the basic resources for almost any adequate system of symbolic computation. Conceived as a stock device of computation, and supplied with domains of arguments already well established as signs, quotation is relatively easy to implement.
Some sort of quotation operation has to be made available as a standard mechanism to support almost any level of theoretical discussion about syntax. In computational settings, various types of quotation operation need to be implemented as computable functions and provided among the basic resources for almost any adequate system of symbolic computation. Conceived as a stock device of computation, and supplied with domains of arguments already well established as signs, quotation is relatively easy to implement.
But a level of genuine reflection on sign processes and sign relations exceeds the generative capacity of mere quotation.
But a level of genuine reflection on sign processes and sign relations exceeds the generative capacity of mere quotation.
Point 13. A "finitely informed creature" (FIC), if it is reflective up to the point that it reflects on its own nature as such, crosses a singular threshold of reflection, whereupon it not only obeys its own capacity limitations, as it instinctively and necessarily must, but also observes and reflects on their character.
'''Point 13.''' A ''finitely informed creature'' (FIC), if it is reflective up to the point that it reflects on its own nature as such, crosses a singular threshold of reflection, whereupon it not only obeys its own capacity limitations, as it instinctively and necessarily must, but also observes and reflects on their character.
Point 14. Higher order sign relations tax the pragmatic resources of an interpretive agent to such a severe extent that they impinge on the practical limits of its representational capacity and computational ability.
'''Point 14.''' Higher order sign relations tax the pragmatic resources of an interpretive agent to such a severe extent that they impinge on the practical limits of its representational capacity and computational ability.
When it is necessary to be precise, I use the term "matriculation" to refer to the first permanent recording of a sign by an agent, the one that marks in a relatively indelible fashion the initial recognition, original declaration, or principal registration of a sign by an agent, on which every subsequent use of that sign by that agent depends, and to which every later usage of that sign by that agent implicitly or explicitly refers.
When it is necessary to be precise, I use the term “matriculation” to refer to the first permanent recording of a sign by an agent, the one that marks in a relatively indelible fashion the initial recognition, original declaration, or principal registration of a sign by an agent, on which every subsequent use of that sign by that agent depends, and to which every later usage of that sign by that agent implicitly or explicitly refers.
The feature of matriculation that is important to the present argument is that it uses up memory capacity in a monotonic way. It is an economical strategy of memory usage to matriculate only the first token of each sign type observed and to let the observation of each subsequent token generate only a derivative reference to the primary registration. However, the present argument does not depend on the hypothesis of such a model actually being used, since this standard is only proposed to establish a lower bound on memory usage.
The feature of matriculation that is important to the present argument is that it uses up memory capacity in a monotonic way. It is an economical strategy of memory usage to matriculate only the first token of each sign type observed and to let the observation of each subsequent token generate only a derivative reference to the primary registration. However, the present argument does not depend on the hypothesis of such a model actually being used, since this standard is only proposed to establish a lower bound on memory usage.
If quotation were the only mechanism for introducing HO signs, then each new round of HO signs would require for its primary registration only the same constant amount of memory capacity. The laying down of each new order of signs over the original foundation would take up an increment of memory equal to that used by the initial domain of signs.
If quotation were the only mechanism for introducing HO signs, then each new round of HO signs would require for its primary registration only the same constant amount of memory capacity. The laying down of each new order of signs over the original foundation would take up an increment of memory equal to that used by the initial domain of signs.
But tagging sign processes and sign relations with signs that actually stick to them requires an agent to catch them first. In other words, the generation of signs for sign processes and signs for sign relations demands that an agent be able to perceive them or conceive them amidst the flow of an ongoing sign process that is itself governed by the law of a prevailing sign relation. This involves a contribution from the higher faculties of reasoning, in particular, taking steps of synthetic inference to introduce or invent the necessary signs. Since it resorts to the processes of inductive and abductive reasoning, this is naturally much more difficult to achieve.
But tagging sign processes and sign relations with signs that actually stick to them requires an agent to catch them first. In other words, the generation of signs for sign processes and signs for sign relations demands that an agent be able to perceive them or conceive them amidst the flow of an ongoing sign process that is itself governed by the law of a prevailing sign relation. This involves a contribution from the higher faculties of reasoning, in particular, taking steps of synthetic inference to introduce or invent the necessary signs. Since it resorts to the processes of inductive and abductive reasoning, this is naturally much more difficult to achieve.
In order to reflect on sign processes it is necessary to have signs for sign processes. One needs to start with signs for sign transitions, that is, signs for ordered pairs of signs, and work up to signs for arbitrary sequences of signs. As an empirical matter, every transition between signs that actually appears in experience is worth noting. By extension, it is useful to note as many sequences of transitions from sign to sign as actually occur, so long as one can spare the capacity to record them. If one also attends to the objects with regard to which these transitions occur, then one has the material of an empirical sign relation.
In order to reflect on sign processes it is necessary to have signs for sign processes. One needs to start with signs for sign transitions, that is, signs for ordered pairs of signs, and work up to signs for arbitrary sequences of signs. As an empirical matter, every transition between signs that actually appears in experience is worth noting. By extension, it is useful to note as many sequences of transitions from sign to sign as actually occur, so long as one can spare the capacity to record them. If one also attends to the objects with regard to which these transitions occur, then one has the material of an empirical sign relation.
But this is a tricky matter, much less obvious than it seems at first. Pragmatic objects are more than just the physically compacted objects that happen to be present in a given situation, at, during, or in causal relation to a particular transition. In general, a pragmatic object is a hypothetical object, one whose presence in a situation, relevance to a transition, or association with a system of interpretation has to be hypothesized. But a hypothesis incurs a risk of error that goes beyond the elementary faults of observation and recording. The hypothesis has to be tested in subsequent experience and corrected by future inquiry. What this all comes down to is the circumstance that not even the raw empirical matter of a theory of signs can be panned from the pure stream of consciousness without a good admixture of speculation.
But this is a tricky matter, much less obvious than it seems at first. Pragmatic objects are more than just the physically compacted objects that happen to be present in a given situation, at, during, or in causal relation to a particular transition. In general, a pragmatic object is a hypothetical object, one whose presence in a situation, relevance to a transition, or association with a system of interpretation has to be hypothesized. But a hypothesis incurs a risk of error that goes beyond the elementary faults of observation and recording. The hypothesis has to be tested in subsequent experience and corrected by future inquiry. What this all comes down to is the circumstance that not even the raw empirical matter of a theory of signs can be panned from the pure stream of consciousness without a good admixture of speculation.
To amplify this point, in many cases the objects of a sign relation cannot be pointed out with any sense of clarity or resolve until the semantic equivalence classes are fairly and adequately sampled and the semantic partition that mirrors the structure of the object domain is at least partially reconstructed in the experience of an interpretive agent.
To amplify this point, in many cases the objects of a sign relation cannot be pointed out with any sense of clarity or resolve until the semantic equivalence classes are fairly and adequately sampled and the semantic partition that mirrors the structure of the object domain is at least partially reconstructed in the experience of an interpretive agent.
In order to reflect on sign relations, it is necessary to have signs for sign relations. Failing this, the laws or principles that sign processes follow, even if fleetingly half intuited, remain forever semi conscious, and thus they continue to rule in a subcritical state of representation.
In order to reflect on sign relations, it is necessary to have signs for sign relations. Failing this, the laws or principles that sign processes follow, even if fleetingly half intuited, remain forever semi conscious, and thus they continue to rule in a subcritical state of representation.
At this point it becomes clear that the ideals of a naive empiricism must be left behind. The combinatorial explosion set off by the need to contemplate HO sign relations ...
At this point it becomes clear that the ideals of a naive empiricism must be left behind. The combinatorial explosion set off by the need to contemplate HO sign relations …
If it becomes necessary to entertain hypotheses about sign transitions, then the space of HO signs that has to be matriculated is potentially as large as the space of all ordered pairs of signs from the initial domain. If it becomes necessary to hypothesize about sign processes in general, then the space of HO signs that has to be matriculated grows like the union of the spaces of k tuples of signs from the initial domain, where k = 1, 2, 3, ..., and possibly increases with no limit in principal.
If it becomes necessary to entertain hypotheses about sign transitions, then the space of HO signs that has to be matriculated is potentially as large as the space of all ordered pairs of signs from the initial domain. If it becomes necessary to hypothesize about sign processes in general, then the space of HO signs that has to be matriculated grows like the union of the spaces of <math>k\!</math>-tuples of signs from the initial domain, where <math>k = 1, 2, 3, \ldots,\!</math> and possibly increases with no limit in principal.
The acuteness of this point, if taken in its full generality, brings the discussion to an appreciation of the next point.
The acuteness of this point, if taken in its full generality, brings the discussion to an appreciation of the next point.
Point 15. Pragmatic incapacities have practical consequences.
'''Point 15.''' Pragmatic incapacities have practical consequences.
A limitation of an agent's capacity along a pragmatic dimension
A limitation of an agent's capacity along a pragmatic dimension …
'''Point 16.''' Reflection involves a sense of context, and this involves a notion of community.
The capacity for reflection involves an ability to view one's own conduct in a context of other conceivable actions, and this implies viewing one's choices not just in a context of other possible actions for oneself, but also in a context of other conceivable actors, ones that are comparable to but characteristically distinct from oneself.
Remarkably, the capacities for criticism and creativity that are needed for reflection spring from a common source, namely, from the sense of possibility that can regard every process as occurring within a context of alternative actions. An inquiry, to be intelligent and innovative, critical and creative, has to be reflective, with the capacity to regard itself as one inquiry among others. In this “regard” is implied the ability of an interpretive agent to reference and to evaluate its own progress in inquiry, to observe it more dispassionately in subsequent reflections as the conduct of one inquirer among a host of many others, choosing one way of doing inquiry from the array of others conceivable. Accordingly, solely out of these reflections is developed the notion of a virtual or a potential community, quite independently of the empirical matter of how any actual or present community is constituted or realized at the moment.
'''Point 17.''' Recalling the proposed application <math>{}^{\backprime\backprime}y \cdot y{}^{\prime\prime}\!</math> once again, it needs to be pointed out that an action cannot really act on an action, but only on its signs.
In technical terms, an action can act only on certain signs that exist in association with another or the same action, signs that are often called the “images” of the action to be affected.
'''Point 18.''' The images, depictions, or descriptions of conduct generated by reflection, as records of experience, can be accumulated into theories and compiled into models of the corresponding conduct.
The collected images of conduct serve as “codes”, in both the senses of a descriptive datum and a prescriptive emblem. Both types of code fall subject to being tested in future experience, for their trustworthiness as bodies of observation or recommendation, respectively, with regard to their objects or intentions, as the case may be. Reviving an old term with just this spectrum of meanings, an encyclopedic corpus of received code can be called a “pandect”.
'''Point 19.''' The power of reflection involves a risk of distortion.
The quality that separates reflection from introspection is its admission of fallibility. Although it is often troublesome to undo its distortions, the very fact that it can be in error, can miss its mark, or is by nature defeasible and falsifiable is exactly what makes a reflective image useful as a hypothesis, as an approximation to an infinitely subtler reality and as a simplification of an infinitely more complex and detailed truth, and yet one that retains a sufficient measure of realistic truth to be useful in the meaner times of a mortal existence.
The capacity of reflection to create an image in description of an action incurs a liability toward corruption in the image, both before and after its initial form is cast. The way that an image produced by reflection is designed to act as a sign of the action or permitted to behave as a code of the conduct is bound to be an imperfect device, due in large part to limitations of the media and affected in unaccounted measures by flaws in the mechanisms of reflection. How these distortions can be undone with repeated reflections, and how this clarification can be achieved without waylaying the conduct that reflection is meant to describe and control, is one of the main technical problems for empirical inquiry.
The power of reflection involves a capacity to project false images and thereby to generate distorting perspectives. The possibilities include the following:
# Views in which small things seem large and large things seem small,
# Value systems in which the apparent imports of things are reversed in relation to their actual imports,
# Forms of representation in which the places of contents interior and exterior to the surfaces of reflection are exchanged, reversed, or transposed.
There is a positive spin on the fallibility of the reflective imagination. In terms of its practical bearings on continued experience, the fallibility of reflection involves an ability, not only to make its errors over again in the form of their consequences for experience, but eventually to find its faults recognized as such in a finite order of subsequent reflections.
There is a positive spin on the fallibility of the reflective imagination. In terms of its practical bearings on continued experience, the fallibility of reflection involves an ability, not only to make its errors over again in the form of their consequences for experience, but eventually to find its faults recognized as such in a finite order of subsequent reflections.
In sum, the feature of reflection that seems to render it most defective, its fallibility, which involves its ability to be recognized as false in the future of reflection, is the main trait that allows it to play a part in the staging of empirical inquiry.
In sum, the feature of reflection that seems to render it most defective, its fallibility, which involves its ability to be recognized as false in the future of reflection, is the main trait that allows it to play a part in the staging of empirical inquiry.
Point 20. The capacity for reflection involves an ability to question one's working assumptions, especially when there is occasion to suspect that they are no longer working as well as they once did.
'''Point 20.''' The capacity for reflection involves an ability to question one's working assumptions, especially when there is occasion to suspect that they are no longer working as well as they once did.
Whenever one operates on a particular assumption, whether knowingly or otherwise, one tends to see certain patterns of features in perception and to miss others, but until one reflects on the operative assumption, makes it explicit, considers its alternatives, and thereby is empowered to put it in question, then one lacks a fundamental insight into how these figures are generated in perception, failing to see how one's own sensitivities and dispositions are biased toward allowing them to arise.
Whenever one operates on a particular assumption, whether knowingly or otherwise, one tends to see certain patterns of features in perception and to miss others, but until one reflects on the operative assumption, makes it explicit, considers its alternatives, and thereby is empowered to put it in question, then one lacks a fundamental insight into how these figures are generated in perception, failing to see how one's own sensitivities and dispositions are biased toward allowing them to arise.
To act on the basis of a certain assumption, as though the assumption were already certain, is to act in abstraction of the total situation. When a feature or a pattern of features is abstracted from a situation, there is always something left behind, the grounds from which a feature or pattern originally rises and against which it subsequently becomes a figure of importance to the moment. There needs to be a name for this actively recessed background, suggesting the potential complement of alternative features and elliptic patterns that it contains within its share of the total configuration. But it is important to remember that this is not just the ground that comes to complement a figure in the present situation but the ground that is dynamically pushed into the past so that the current configuration can come to be formed as it is.
To act on the basis of a certain assumption, as though the assumption were already certain, is to act in abstraction of the total situation. When a feature or a pattern of features is abstracted from a situation, there is always something left behind, the grounds from which a feature or pattern originally rises and against which it subsequently becomes a figure of importance to the moment. There needs to be a name for this actively recessed background, suggesting the potential complement of alternative features and elliptic patterns that it contains within its share of the total configuration. But it is important to remember that this is not just the ground that comes to complement a figure in the present situation but the ground that is dynamically pushed into the past so that the current configuration can come to be formed as it is.
Exactly what it is that abstraction leaves out is something that seems currently to escape description, failing to be pinned down by any name I can think of in common or in technical use. The abstraction itself, as the process whose result is signaled by its " ionized" designation, acts toward the end of constellating a figure that is relevant to the moment. But the concurrent and complementary process that results in a residual plurality is one that lacks a common denomination. For the sake of a harmonious balance between the syntactic expressions of these actions, it would be good if the process that recesses the background were also to be assigned an "-ionized" term.
Exactly what it is that abstraction leaves out is something that seems currently to escape description, failing to be pinned down by any name I can think of in common or in technical use. The abstraction itself, as the process whose result is signaled by its “-ionized” designation, acts toward the end of constellating a figure that is relevant to the moment. But the concurrent and complementary process that results in a residual plurality is one that lacks a common denomination. For the sake of a harmonious balance between the syntactic expressions of these actions, it would be good if the process that recesses the background were also to be assigned an “-ionized” term.
Point 21. There appears to be a large variety of ways that the process of reflection can go wrong.
'''Point 21.''' There appears to be a large variety of ways that the process of reflection can go wrong.
One of the jobs of an inquiry into inquiry is to classify this variety, compassing the diversity of incidental errors and systematic distortions that are likely to occur in reflection.
One of the jobs of an inquiry into inquiry is to classify this variety, compassing the diversity of incidental errors and systematic distortions that are likely to occur in reflection.
One dimension of variation that runs through this variety of pathologies characterizes the degree of fixity or persistence that is invested in the images of conduct. The range of variation conceivable can be suggested by marking the prototypical figures that fall at its two extremes.
One dimension of variation that runs through this variety of pathologies characterizes the degree of fixity or persistence that is invested in the images of conduct. The range of variation conceivable can be suggested by marking the prototypical figures that fall at its two extremes.
# At one extreme there is the character of a stolid fixity that can be adumbrated in terms of a mythological or a psychological archetype, appearing to be ruled by the image of Narcissus. This identifies the kind of regressive and fixed ideation that leads one to seize on a single image of one's characteristic conduct, to fix it in mind as a static ideal, and to resist at all costs letting go of its hold on the imagination.
# At the other extreme there is the character of an insipid volatility that corresponds to the complementary archetype, answering a bit dully to the name of Echo. This identifies the kind of digressive and fluid skepticism that leaves one in a permanently fugitive state. Paradoxically enough, it is typically pursuant to a precocious but transient condition of dedication, one that marks its earliest forms of conscious recognition. If it follows the usual course, it can start from being too soon fixed on the initial object of attention or the original ideal of conduct, but it eventually falls into a compensatory, defensive, and reactionary pattern. Soon it withers away into little more than the afterimage of a reflexive reaction, an account due to the ensuing trauma of disappointment, and a record commemorating a final disillusionment with its distant illusions. Whatever the initial case, the issue is such that it makes one reluctant to commit to any future image of behavior or ideal of conduct, at least, readily enough to try its utility in action or steadily enough to test it out in practice. Instead, it disposes one merely to keep repeating in an automatic, derivative, imitative, involuntary, reflexive, stereotypical, and tautologous manner any impression of the outside world that seems to inform the moment.
'''Point 22.''' Intelligent inquiry involves inquiry into inquiry.
In view of the previous points, it appears that intelligent inquiry is necessarily reflective inquiry, seeing itself as one inquiry among others and evaluating its own progress in a setting of comparable alternatives. This means that intelligent inquiry into any subject whatever is forced to embody a component of self-study, of inquiry into inquiry. Thus, the general capacity for successfully conducting inquiry both relies on and bears on a specialized kernel of talent for doing inquiry into inquiry.
'''Point 23.''' Inquiry into inquiry involves integrating independent inquiries.
One way of gathering data that is relevant to the task of self-study is to conduct a multiplicity of independent studies, each of which tries to track what the others are most likely to miss. This requires a monitor, a moderator, or a non-parallel but mutually concurred upon medium of comparison for overseeing and reconciling the mosaic of disparate and scattered results that can derive from a multitude of isolated studies.
Finally, this project of self study demands a comprehensive method for integrating the divergent and fragmentary imports of individual studies into a unified form, constituting the resultant bearing that they are meant to have on the main inquiry. Toward this end, it is a frequent stratagem of intelligent inquiry to maintain a form of “outrigger”, an attached but esthetically distant study that serves to steady the main course of study by embodying a full program of peripheral perspectives and exploratory investigations. In this way, the global aims of even a specialized inquiry can be achieved more robustly by keeping a studied eye out for its own systematic alternatives, often involving precisely those “outliers” that are ignored by the more focal styles of inquiry.
Finally, this project of self study demands a comprehensive method for integrating the divergent and fragmentary imports of individual studies into a unified form, constituting the resultant bearing that they are meant to have on the main inquiry. Toward this end, it is a frequent stratagem of intelligent inquiry to maintain a form of "outrigger", an attached but esthetically distant study that serves to steady the main course of study by embodying a full program of peripheral perspectives and exploratory investigations. In this way, the global aims of even a specialized inquiry can be achieved more robustly by keeping a studied eye out for its own systematic alternatives, often involving precisely those "outliers" that are ignored by the more focal styles of inquiry.
In times of shifting paradigms the outrigger of an established inquiry can take on a signal purpose as the forerunner of a new investigation, and can with added reinforcements even take over the role of the main. With nothing more than a few spare kernels of aptitude for reflective inquiry, that is, with a minimal but germinal talent for inquiry into inquiry to serve as a catalyst, the outriding projections and their deponent objections, testifying all along in what seems like a purely negative fashion to the mounting accumulations of anomalous evidence, can find themselves converted, refitted, and positively reconditioned. Transformed in this way, the original outrigger, with its outrageous hypotheses and its crew of motley anomalies, are ready to become the new hull, the mainstays, and the supporting constituency of a renewed constitution for inquiry, one that can sustain its overall course but more significantly its overriding cause through another day.
In times of shifting paradigms the outrigger of an established inquiry can take on a signal purpose as the forerunner of a new investigation, and can with added reinforcements even take over the role of the main. With nothing more than a few spare kernels of aptitude for reflective inquiry, that is, with a minimal but germinal talent for inquiry into inquiry to serve as a catalyst, the outriding projections and their deponent objections, testifying all along in what seems like a purely negative fashion to the mounting accumulations of anomalous evidence, can find themselves converted, refitted, and positively reconditioned. Transformed in this way, the original outrigger, with its outrageous hypotheses and its crew of motley anomalies, are ready to become the new hull, the mainstays, and the supporting constituency of a renewed constitution for inquiry, one that can sustain its overall course but more significantly its overriding cause through another day.
Point 24.
'''Point 24.''' Reflective projects being partial, their refractory parts are likely to remain partial to their outward projections.
An "unreflective framework" (UF), if it does not devolve into a condition of total confusion, and thus deserves to be called a framework at all, ordinarily maintains a clear separation between the objective and the interpretive parts of its organization. This pragmatic division of labor coincides with a substantive distinction that is ordained to exist between the object system that is subject to observation or interpretation and the agent system that observes or interprets it.
An ''unreflective framework'' (UF), if it does not devolve into a condition of total confusion, and thus deserves to be called a framework at all, ordinarily maintains a clear separation between the objective and the interpretive parts of its organization. This pragmatic division of labor coincides with a substantive distinction that is ordained to exist between the object system that is subject to observation or interpretation and the agent system that observes or interprets it.
But the goal of reflection is to make one's own conduct an object among other objects, something that can be critically evaluated as one choice among many and subsequently amended if found wanting. In this aim a realistic project of reflection never sees more than partial success. There is always a refractory residue of ongoing conduct that resists analysis and remains unreflected in any clear form of representation. Thus, the actual effect of a reflective project is to represent only a part of one's interpretive conduct as a part of one's objective regard, in other words, to reconfigure a part of one's IF as a part of one's OF.
But the goal of reflection is to make one's own conduct an object among other objects, something that can be critically evaluated as one choice among many and subsequently amended if found wanting. In this aim a realistic project of reflection never sees more than partial success. There is always a refractory residue of ongoing conduct that resists analysis and remains unreflected in any clear form of representation. Thus, the actual effect of a reflective project is to represent only a part of one's interpretive conduct as a part of one's objective regard, in other words, to reconfigure a part of one's IF as a part of one's OF.
Point 25.
'''Point 25.'''
The purpose of constructing a RIF is to demonstrate how it might be possible for interpretive agents to reflect on their own processes of interpretation, to critically evaluate the interpretive choices they make, and to choose from alternate interpretations based on the results of this reflection and evaluation. These are the abilities that interpreters need to carry out inquiry, and especially to pursue an inquiry into inquiry.
The purpose of constructing a RIF is to demonstrate how it might be possible for interpretive agents to reflect on their own processes of interpretation, to critically evaluate the interpretive choices they make, and to choose from alternate interpretations based on the results of this reflection and evaluation. These are the abilities that interpreters need to carry out inquiry, and especially to pursue an inquiry into inquiry.
It seems that human beings do have the ability to reflect on their own interpretive processes, at least, to the extent that they can observe the obvious aspects of the interpretive experience and control the overt features of the interpretive activity, and insofar as these aspects and features of the experimental activity are manifested at the phenomenal surfaces of its underlying processes. Moreover, it seems that people do know how to interrogate their own judgments, turning again and again to investigate the traces of their past reflections and pausing in anticipation to examine the balance of their next evaluation.
It seems that human beings do have the ability to reflect on their own interpretive processes, at least, to the extent that they can observe the obvious aspects of the interpretive experience and control the overt features of the interpretive activity, and insofar as these aspects and features of the experimental activity are manifested at the phenomenal surfaces of its underlying processes. Moreover, it seems that people do know how to interrogate their own judgments, turning again and again to investigate the traces of their past reflections and pausing in anticipation to examine the balance of their next evaluation.
Consequently, it must be possible to explain these apparent abilities in just one of two ways: either to account for the faculties of reflection and selection by presenting a logical model of the processes involved, or else to dispell the illusion of each performance by showing what goes on in its place. In either case, an inquiry into the virtues of critically reflective phenomena is called on to provide a plausible model for what is happening beneath the semblances of reflective and critical thought. Whether the resulting resolution of a particular phenomenon preserves or dissolves its appearances is a matter that depends on the details of the case, and perhaps to a degree on personal taste.
Consequently, it must be possible to explain these apparent abilities in just one of two ways: either to account for the faculties of reflection and selection by presenting a logical model of the processes involved, or else to dispel the illusion of each performance by showing what goes on in its place. In either case, an inquiry into the virtues of critically reflective phenomena is called on to provide a plausible model for what is happening beneath the semblances of reflective and critical thought. Whether the resulting resolution of a particular phenomenon preserves or dissolves its appearances is a matter that depends on the details of the case, and perhaps to a degree on personal taste.
Point 26. This marks a branch point. I tentatively assume that the apparent power of reflection is really more or less as it appears to be, at least, in the same spirit as it appears to be, and not some radically insidious self deception arising on the part of its apparent agents.
'''Point 26.''' This marks a branch point. I tentatively assume that the apparent power of reflection is really more or less as it appears to be, at least, in the same spirit as it appears to be, and not some radically insidious self-deception arising on the part of its apparent agents.
Setting out initially on the positive track, I begin with the assumption that a RIF is a real possibility. In order to conceive of a RIF being possible it is necessary to set aside a host of set theoretic difficulties that might be imagined to afflict any invocation of self referent themes. No matter whether interpretation is presented in terms of a framework, a faculty, a process, a trajectory, or a hypostatic agent that is assumed to carry out its procedures, there is a problem about how anything so fleeting and so sweeping as an ongoing interpretation can refer to itself as a situated form of activity, in other words, as an objective system of interpretation that rests within a context of alternative interpretations.
Setting out initially on the positive track, I begin with the assumption that a RIF is a real possibility. In order to conceive of a RIF being possible it is necessary to set aside a host of set theoretic difficulties that might be imagined to afflict any invocation of self referent themes. No matter whether interpretation is presented in terms of a framework, a faculty, a process, a trajectory, or a hypostatic agent that is assumed to carry out its procedures, there is a problem about how anything so fleeting and so sweeping as an ongoing interpretation can refer to itself as a situated form of activity, in other words, as an objective system of interpretation that rests within a context of alternative interpretations.
There is a piece of terminology that is often useful in this connection. In set theoretic contexts, I use either one of the phrases "X collects Y" or "X encases Y" to mean that Y C X. These formulations can be taken as abbreviated ways of saying that "X enumerates Y among its cases". Thus, they express the converse of the membership relation but manage to avoid the ambiguity of the phrase "X contains Y", a form that would otherwise have to be qualified on each occasion of its use by specifying whether one means "contains as an element" or "contains as a subset", as the case may be.
There is a piece of terminology that is often useful in this connection. In set-theoretic contexts, either one of the phrases ''X collects Y'' or ''X encases Y'' can be used to mean the same thing as ''Y'' ∈ ''X''. These formulations can be taken as abbreviated ways of saying that ''X'' enumerates ''Y'' among its cases. Thus, they express the converse of the membership relation but manage to avoid the ambiguity of the phrase ''X contains Y'', a form that would otherwise have to be qualified on each occasion of its use by specifying whether one means ''contains as an element'' or ''contains as a subset'', as the case may be.
To wrap up the development of this reflective project in a single line: When the mind's original effort to catch itself at work seizes on the inventions of set theory to encapsulate its speculations, the ensuing breed of self reification that comes from mingling an unbridled capacity for self referent expressions with an unchecked propensity for creating abstract objects gives rise to the generation of set theoretic paradoxes. As a result, it is incumbent on me to show how the concretely limited kinds of constructions that I have in mind can avoid a similar excess and steer clear of the corresponding difficulties.
To wrap up the development of this reflective project in a single line: When the mind's original effort to catch itself at work seizes on the inventions of set theory to encapsulate its speculations, the ensuing breed of self reification that comes from mingling an unbridled capacity for self referent expressions with an unchecked propensity for creating abstract objects gives rise to the generation of set theoretic paradoxes. As a result, it is incumbent on me to show how the concretely limited kinds of constructions that I have in mind can avoid a similar excess and steer clear of the corresponding difficulties.
If formalized, a RIF would be an IF that can properly, if only partially, refer to itself as an OF. Thus, as formalized, a RIF amounts to both a reflexive and a recursive SOI, one that can refer to itself as an object, to the extent that any formal system can. As a reflexive SOI, a RIF has a sign that refers to itself. As a recursive SOI, a RIF has a character that can be determined by invoking the record of signs that it uses to refer to simpler versions and earlier developments of itself.
If formalized, a RIF would be an IF that can properly, if only partially, refer to itself as an OF. Thus, as formalized, a RIF amounts to both a reflexive and a recursive SOI, one that can refer to itself as an object, to the extent that any formal system can. As a reflexive SOI, a RIF has a sign that refers to itself. As a recursive SOI, a RIF has a character that can be determined by invoking the record of signs that it uses to refer to simpler versions and earlier developments of itself.
But more than all this, in order to be genuinely reflective a RIF's consideration of itself as a situated form of activity must extend to the consideration of alternative selves. This means that a RIF must have references to other SOI's, not only those that are continuous with the space of its own potential conduct and correlated to the course of its own form of activity, but also those that are discontinuous from and independent of its own way of being.
But more than all this, in order to be genuinely reflective a RIF's consideration of itself as a situated form of activity must extend to the consideration of alternative selves. This means that a RIF must have references to other SOIs, not only those that are continuous with the space of its own potential conduct and correlated to the course of its own form of activity, but also those that are discontinuous from and independent of its own way of being.
In keeping with the spirit of a discussion based on concrete examples, the RIF to be improvised here is restrained to the scale of a minimal IF that can reflect on the scene of A and B, in this case, synthesizing a portion of the OF's and IF's suggested by the sign relations A and B into an integrated SOI. While I do not plan to specify the additional constraints that would be needed to determine this RIF uniquely, even to say whether it is finite or infinite, it forms a convenient reference point for the rest of this section to designate the purported ideal as "the RIF generated by A and B" and to notate it as "RIF (A, B)".
In keeping with the spirit of a discussion based on concrete examples, the RIF to be improvised here is restrained to the scale of a minimal IF that can reflect on the scene of A and B, in this case, synthesizing a portion of the OFs and IFs suggested by the sign relations <math>A\!</math> and <math>B\!</math> into an integrated SOI. While I do not plan to specify the additional constraints that would be needed to determine this RIF uniquely, even to say whether it is finite or infinite, it forms a convenient reference point for the rest of this section to designate the purported ideal as ''the RIF generated by <math>A\!</math> and <math>B\!</math>'' and to notate it as <math>\operatorname{RIF}(A, B).\!</math>
In accord with the customary figure of speech, a RIF can be personified in the agency of a "reflective interpreter" that possesses the faculties to carry out its actions, and this agent is in turn characterized as the localized representative of a suitably reflective and situated process of interpretation.
In accord with the customary figure of speech, a RIF can be personified in the agency of a “reflective interpreter” that possesses the faculties to carry out its actions, and this agent is in turn characterized as the localized representative of a suitably reflective and situated process of interpretation.
A reflective interpreter needs a capacity for referring to its own role in the process of interpretation, for conceptualizing each transition from sign to interpretant sign as occurring within a context of alternatives, and for noticing that each option has a potentially distinctive value with respect to a prevailing object or objective. "Capacity", as used in this connection, is a word with both structural and functional connotations. It implies the structural capacity that is required to articulate, record, and maintain data about observable forms of interpretive conduct, and it involves the functional capacity that is demanded to create and exploit this data, in effect, constituting a higher order of interpretive activity.
A reflective interpreter needs a capacity for referring to its own role in the process of interpretation, for conceptualizing each transition from sign to interpretant sign as occurring within a context of alternatives, and for noticing that each option has a potentially distinctive value with respect to a prevailing object or objective. ''Capacity'', as used in this connection, is a word with both structural and functional connotations. It implies the structural capacity that is required to articulate, record, and maintain data about observable forms of interpretive conduct, and it involves the functional capacity that is demanded to create and exploit this data, in effect, constituting a higher order of interpretive activity.
If one tries to understand the conduct of a reflective interpreter as a process of interpretation there are a number of questions that arise. How can anything so ongoing as a process of interpretation refer to an object, and how can anything so fleeting as a process of interpretation be referred to as an object?
If one tries to understand the conduct of a reflective interpreter as a process of interpretation there are a number of questions that arise. How can anything so ongoing as a process of interpretation refer to an object, and how can anything so fleeting as a process of interpretation be referred to as an object?
A process that refers to itself is not like a set that collects itself, or a collection that would enroll itself among its own elements, even if some attempts to process the reference and to lay it out in a literal account do try to dissect and explain it as such. A sign that is elemental to a universe, perhaps by means of which one seeks to explain the universe, does not in fact collect, dominate, or encase the entire universe simply by referring to it, even if some interpretive interloper, at the risk of vitiating the whole account, is tempted to explain the elementary part in terms of the complex totality.
A process that refers to itself is not like a set that collects itself, or a collection that would enroll itself among its own elements, even if some attempts to process the reference and to lay it out in a literal account do try to dissect and explain it as such. A sign that is elemental to a universe, perhaps by means of which one seeks to explain the universe, does not in fact collect, dominate, or encase the entire universe simply by referring to it, even if some interpretive interloper, at the risk of vitiating the whole account, is tempted to explain the elementary part in terms of the complex totality.
One reason for introducing the distinction between OF's and IF's into the present discussion is to keep track of the complex relationships between object domains and sign domains, between the constitutions of objects and the constitutions of signs. It is a frequent practice in mathematics to blur this distinction, often saying that an object is constituted as a set of further objects when one really means that the sign or information one has about the object is constituted as a set of further signs or further informations about the object, all of which can refer to further objects, but not always the sorts of objects that are literally intended as elementary constituents of the original object. Furthermore, each use of the directive "further" in this description marks a place where a suitably reflective interpreter ought to ask whether "further" implies "simpler" or merely "other", and in turn whether "other" means essentially other or only otherwise appearing.
One reason for introducing the distinction between OFs and IFs into the present discussion is to keep track of the complex relationships between object domains and sign domains, between the constitutions of objects and the constitutions of signs. It is a frequent practice in mathematics to blur this distinction, often saying that an object is constituted as a set of further objects when one really means that the sign or information one has about the object is constituted as a set of further signs or further informations about the object, all of which can refer to further objects, but not always the sorts of objects that are literally intended as elementary constituents of the original object. Furthermore, each use of the directive ''further'' in this description marks a place where a suitably reflective interpreter ought to ask whether ''further'' implies ''simpler'' or merely ''other'', and in turn whether ''other'' means essentially other or only otherwise appearing.
But the distinction between object and sign, however important, is still a pragmatic distinction, involving a thing's use in a particular role, and not an essential distinction, fixing a thing's prior and eternal nature. Of course, it can turn out that some objects will never serve as signs and that some signs will never be observed as objects, but these types of eventuality involve empirical questions and contingent facts, and their actualization depends on the kinds of circumstances that have to be discovered after the fact rather than dictated a priori.
But the distinction between object and sign, however important, is still a pragmatic distinction, involving a thing's use in a particular role, and not an essential distinction, fixing a thing's prior and eternal nature. Of course, it can turn out that some objects will never serve as signs and that some signs will never be observed as objects, but these types of eventuality involve empirical questions and contingent facts, and their actualization depends on the kinds of circumstances that have to be discovered after the fact rather than dictated ''a priori''.
The construction of a RIF forces the discussion to a point where the OF's and IF's and the relationships between them suddenly become much more complex, and where confusion can arise precisely from the fact that the purpose of a RIF is to convert an IF into the sort of thing that can be referred to and reflected on as an object. Developments like these make it all the more necessary to understand the exact character of the distinction between OF's and IF's. In a complex IF signs do participate in constitutional relationships, with complex signs being constructed out of simpler signs. But the relations involved in denotation and connotation are not limited to constitutional linkages of this sort, and thus they cannot be expected to generate by themselves the necessary sorts of analytic and synthetic hierarchies.
The construction of a RIF forces the discussion to a point where the OFs and IFs and the relationships between them suddenly become much more complex, and where confusion can arise precisely from the fact that the purpose of a RIF is to convert an IF into the sort of thing that can be referred to and reflected on as an object. Developments like these make it all the more necessary to understand the exact character of the distinction between OFs and IFs. In a complex IF signs do participate in constitutional relationships, with complex signs being constructed out of simpler signs. But the relations involved in denotation and connotation are not limited to constitutional linkages of this sort, and thus they cannot be expected to generate by themselves the necessary sorts of analytic and synthetic hierarchies.
All in all, a RIF involves the close coordination of an OF and an IF, plus mechanisms for carrying out the so called "reflective operations" (RO's) that go to negotiate between the objective and the interpretive realms. The work of ROing permits processes of interpretation, initially taking place largely in the IF and impinging on the OF only at isolated points, to be formalized and objectified, thereby becoming segments of the OF. Taken over time the cumulative effect of this ROing motion gradually turns more and more of the IF into new sectors and layers of the OF.
All in all, a RIF involves the close coordination of an OF and an IF, plus mechanisms for carrying out the so called ''reflective operations'' (ROs) that go to negotiate between the objective and the interpretive realms. The work of ROing permits processes of interpretation, initially taking place largely in the IF and impinging on the OF only at isolated points, to be formalized and objectified, thereby becoming segments of the OF. Taken over time the cumulative effect of this ROing motion gradually turns more and more of the IF into new sectors and layers of the OF.
Point 27.
'''Point 27.'''
There is a portion of reasoning that consists in drawing distinctions, signifying the features thereby distinguished by means of logical terms, recognizing constraints on the conjoint occurrences of these features, expressing these constraints in the form of logical premisses, and then drawing the implications of these premisses as the occasion warrants. This part of logic, in its formalizable aspects, is generally referred to as "propositional calculus" (PropC), "sentential logic" (SL), or sometimes as "zeroth order logic" (ZOL).
There is a portion of reasoning that consists in drawing distinctions, signifying the features thereby distinguished by means of logical terms, recognizing constraints on the conjoint occurrences of these features, expressing these constraints in the form of logical premisses, and then drawing the implications of these premisses as the occasion warrants. This part of logic, in its formalizable aspects, is generally referred to as ''propositional calculus'' (PropC), ''sentential logic'' (SL), or sometimes as ''zeroth order logic'' (ZOL).
With any system of logic, at least, that does not propose a purely syntactic rationale for itself, it is necessary to draw a distinction between the logical object that is denoted, expressed, or represented in thinking and the logical sign that denotes, expresses, or represents it. Often one uses the contrast between "proposition" and "expression" or the shade of difference between "statement" and "sentence" to convey the distinction between the logical object signified and the syntactic assemblage that signifies it. Another option is to let the division lie between a "position" and a "proposition", with the suggestion being that the function of a symbolic proposition is to indicate indifferently a plurality of logical positions. In accord with my personal preference, I use the term "proposition" ambiguously, expecting context to resolve the question, and resorting to the term "expression" when it does not.
With any system of logic, at least, that does not propose a purely syntactic rationale for itself, it is necessary to draw a distinction between the logical object that is denoted, expressed, or represented in thinking and the logical sign that denotes, expresses, or represents it. Often one uses the contrast between ''proposition'' and ''expression'' or the shade of difference between ''statement'' and ''sentence'' to convey the distinction between the logical object signified and the syntactic assemblage that signifies it. Another option is to let the division lie between a ''position'' and a ''proposition'', with the suggestion being that the function of a symbolic proposition is to indicate indifferently a plurality of logical positions. In accord with my personal preference, I use the term ''proposition'' ambiguously, expecting context to resolve the question, and resorting to the term ''expression'' when it does not.
Point 28. Adequate reasoning about the propositional constitution or the sentential representatation of POV's and POD's requires a logical system that can work with "higher order propositions" (HOP's).
'''Point 28.''' Adequate reasoning about the propositional constitution or the sentential representation of POVs and PODs requires a logical system that can work with ''higher order propositions'' (HOPs).
Point 29.
'''Point 29.'''
Finally, interlaced with the structures of the OF and the IF, there is a need for a structure that I call a "dynamic evaluative framework" (DEF). This is intended to isolate the twin aspects of process and purpose that are observable on either side of the objective interpretive divide and to assist in formalizing the graded notions of directed change that are able to be actualized in the medium of a RIF.
Finally, interlaced with the structures of the OF and the IF, there is a need for a structure that I call a ''dynamic evaluative framework'' (DEF). This is intended to isolate the twin aspects of process and purpose that are observable on either side of the objective interpretive divide and to assist in formalizing the graded notions of directed change that are able to be actualized in the medium of a RIF.
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[[Category:Artificial Intelligence]]
[[Category:Artificial Intelligence]]