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==Notes & Queries==
 
==Notes & Queries==
[[User:Jon Awbrey|Jon Awbrey]] 11:44, 17 May 2007 (PDT)
+
 
 +
# [[User:Jon Awbrey|Jon Awbrey]] 15:34, 8 January 2006 (UTC)
 +
# [[User:Jon Awbrey|Jon Awbrey]] 11:44, 17 May 2007 (PDT)
 +
# [[User:Jon Awbrey|Jon Awbrey]] 07:28, 24 January 2008 (PST)
 +
 
 +
===Pragmatic theory of inquiry===
 +
 
 +
===Classical models===
 +
 
 +
JA: I am dumping some raw source material here until I can sort it out.  [[User:Jon Awbrey|Jon Awbrey]] 19:26, 14 April 2006 (UTC)
 +
 
 +
References:
 +
 
 +
* [[Aristotle]], "The Categories", [[Harold P. Cooke]] (trans.), pp. 1–109 in ''Aristotle, Volume 1'',  [[Loeb Classical Library]], [[William Heinemann]], London, UK, 1938.
 +
 
 +
* [[Aristotle]], "On Interpretation", [[Harold P. Cooke]] (trans.), pp. 111–179 in ''Aristotle, Volume 1'',  [[Loeb Classical Library]], [[William Heinemann]], London, UK, 1938.
 +
 
 +
* [[Aristotle]], "[[Prior Analytics]]", [[Hugh Tredennick]] (trans.), pp. 181–531 in ''Aristotle, Volume 1'', [[Loeb Classical Library]], [[William Heinemann]], London, UK, 1938.
 +
 
 +
* [[Aristotle]], "[[On the Soul]]" (''De Anima''), [[W.S. Hett]] (trans.), pp. 1–203 in ''Aristotle, Volume 8'',  [[Loeb Classical Library]], [[William Heinemann]], London, UK, 1936.
 +
 
 +
<pre>
 +
Appendix A:  Sources
 +
Aristotle:  On Interpretation
 +
Chapter 1
 +
 +
{1} Words spoken are symbols or signs of affections or impressions
 +
of the soul;  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, are the same for the whole of mankind,
 +
as are also the objects of which those affections are
 +
representations or likenesses, images, copies.
 +
 +
Aristotle:  Prior Analytics
 +
Book 1 Chapter 4
 +
{1} When three terms are so related to one another that the last
 +
is wholly contained in the middle and the middle is wholly
 +
contained in or excluded from the first, the extremes must admit
 +
of perfect syllogism.  By 'middle term' I mean that which both is
 +
contained in another and contains another in itself, and which is
 +
the middle by its position also; and by 'extremes' (a) that which
 +
is contained in another, and (b) that in which another is
 +
contained.  For if A is predicated of all B, and B of all C,
 +
A must necessarily be predicated of all C.  ...  I call this kind
 +
of figure the First.
 +
 +
Chapter 5
 +
 +
{2} When the same term applies to all of one subject and to none
 +
of the other, or to all or none of both, I call this kind of
 +
figure the Second; and in it by the middle term I mean that which
 +
is predicated of both subjects; by the extreme terms, the subjects
 +
of which the middle is predicated; by the major term, that which
 +
comes next to the middle; and by the minor that which is more
 +
distant from it.  The middle is placed outside the extreme terms,
 +
and is first by position.
 +
 +
Chapter 6
 +
 +
{3} If one of the terms applies to all and the other to none of
 +
the same subject, or if both terms apply to all or none of it,
 +
I call this kind of figure the Third; and in it by the middle I
 +
mean that of which both the predications are made; by extremes
 +
the predicates; by the major term that which is [further from?]
 +
the middle; and by the minor that which is nearer to it.  The
 +
middle is placed outside the extremes, and is last by position.
 +
 +
Book 2 Chapter 21
 +
 +
{1} Similarly too with the theory in the Meno that learning is
 +
recollection.  For in no case do we find that we have previous
 +
knowledge of the individual, but we do find that in the process
 +
of induction we acquire knowledge of particular things just as
 +
though we could remember them; for there are some things which we
 +
know immediately:  e.g., if we know that X is a triangle we know
 +
that the sum of its angles is equal to two right angles.
 +
Similarly too in all other cases.
 +
 +
{2} Thus whereas we observe particular things by universal
 +
knowledge, we do not know them by the knowledge peculiar to them.
 +
Hence it is possible to be mistaken about them, not because we
 +
have contrary knowledge about them, but because, although we have
 +
universal knowledge of them, we are mistaken in our particular
 +
knowledge.
 +
 +
Book 2 Chapter 23
 +
 +
{1} Induction epagwgh, or inductive reasoning, consists in
 +
establishing a relation between one extreme term and the middle
 +
term by means of the other extreme; e.g., if B is the middle term
 +
of A and C, in proving by means of C that A applies to B; for this
 +
is how we effect inductions.  E.g., let A stand for 'long-lived',
 +
B for 'that which has no bile' and C for the long-lived
 +
individuals such as man and horse and mule.  Then A applies to the
 +
whole of C, for every bileless animal is long-lived.  But B, 'not
 +
having bile', also applies to all C.  Then if C is convertible
 +
with B, i.e., if the middle term is not wider in extension,
 +
A must apply to B.
 +
 +
{2} This kind of syllogism is concerned with the first or
 +
immediate premiss.  Where there is a middle term, the syllogism
 +
proceeds by means of the middle; where there is not, it proceeds
 +
by induction.  There is a sense in which induction is opposed to
 +
syllogism, for the latter shows by the middle term that the major
 +
extreme applies to the third, while the former shows by means of
 +
the third that the major extreme applies to the middle.  Thus by
 +
nature the syllogism by means of the middle is prior and more
 +
knowable; but syllogism by induction is more apparent to us.
 +
 +
Book 2 Chapter 24
 +
 +
{1} We have an Example paradeigma when the major extreme is shown
 +
to be applicable to the middle term by means of a term similar to
 +
the third.  It must be known both that the middle applies to the
 +
third term and that the first applies to the term similar to the
 +
third.  E.g., let A be 'bad', B 'to make war on neighbors',
 +
C 'Athens against Thebes' and D 'Thebes against Phocis'.  Then
 +
if we require to prove that war against Thebes is bad, we must be
 +
satisfied that war against neighbors is bad.  Evidence of this can
 +
be drawn from similar examples, e.g., that war by Thebes against
 +
Phocis is bad.  Then since war against neighbors is bad, and war
 +
against Thebes is against neighbors, it is evident that war
 +
against Thebes is bad.  Now it is evident that B applies to C
 +
and D (for they are both examples of making war on neighbors),
 +
and A to D (since the war against Phocis did Thebes no good); but
 +
that A applies to B will be proved by means of D. ...
 +
 +
{2} Thus it is evident that an example represents the relation,
 +
not of part to whole or of whole to part, but of one part to
 +
another, where both are subordinate to the same general term,
 +
and one of them is known.  It differs from induction in that the
 +
latter, as we saw, shows from an examination of all the individual
 +
cases that the [major] extreme applies to the middle, and does not
 +
connect the conclusion with the [minor] extreme; whereas the
 +
example does connect it and does not use all the individual cases
 +
for its proof.
 +
 +
Book 2 Chapter 25
 +
 +
{1} We have Reduction apagwgh (a) when it is obvious that the
 +
first term applies to the middle, but that the middle applies to
 +
the last term is not obvious, yet nevertheless is more probable or
 +
not less probable than the conclusion; or (b) if there are not
 +
many intermediate terms between the last and the middle; for in
 +
all such cases the effect is to bring us nearer to knowledge.
 +
 +
{2} (a) E.g., let A stand for 'that which can be taught', B for
 +
'knowledge' and C for 'morality'.  Then that knowledge can be
 +
taught is evident; but whether virtue is knowledge is not clear.
 +
Then if BC is not less probable or is more probable than AC, we
 +
have reduction; for we are nearer to knowledge for having
 +
introduced an additional term, whereas before we had no knowledge
 +
that AC is true.
 +
 +
{3} (b) Or again we have reduction if there are not many
 +
intermediate terms between B and C; for in this case too we are
 +
brought nearer to knowledge.  E.g., suppose that D is 'to square',
 +
E 'rectilinear figure' and F 'circle'.  Assuming that between
 +
E and F there is only one intermediate term - that the circle
 +
becomes equal to a rectilinear figure by means of lunules -
 +
we should approximate to knowledge.
 +
 +
{4} When, however, BC is not more probable than AC, or there are
 +
several intermediate terms, I do not use the expression
 +
'reduction'; nor when the proposition BC is immediate; for such
 +
a statement implies knowledge.
 +
 +
Book 2 Chapter 27
 +
 +
{1} A probability eikoV is not the same as a sign shmeion.  The
 +
former is a generally accepted premiss; for that which people know
 +
to happen or not to happen, or to be or not to be, usually in a
 +
particular way, is a probability:  e.g., that the envious are
 +
malevolent or that those who are loved are affectionate.  A sign,
 +
however, means a demonstrative premiss which is necessary or
 +
generally accepted.  That which coexists with something else,
 +
or before or after whose happening something else has happened,
 +
is a sign of that something's having happened or being.
 +
 +
{2} An enthymeme is a syllogism from probabilities or signs; and
 +
a sign can be taken in three ways - in just as many ways as there
 +
are of taking the middle term in the several figures ...
 +
 +
{3} We must either classify signs in this way, and regard their
 +
middle term as an index tekmhrion (for the name 'index' is given
 +
to that which causes us to know, and the middle term is especially
 +
of this nature), or describe the arguments drawn from the extremes
 +
as 'signs', and that which is drawn from the middle as an 'index'.
 +
For the conclusion which is reached through the first figure is
 +
most generally accepted and most true.
 +
 +
Aristotle:  The Art of Rhetoric
 +
 +
Book 1 Chapter 2
 +
 +
{1} But for purposes of demonstration, real or apparent, just as
 +
Dialectic possesses two modes of argument, induction and the
 +
syllogism, real or apparent, the same is the case in Rhetoric;
 +
for the example is induction, and the enthymeme a syllogism, and
 +
the apparent enthymeme an apparent syllogism.  Accordingly I call
 +
an enthymeme a rhetorical syllogism, and an example rhetorical
 +
induction.
 +
 +
{2} But since few of the propositions of the rhetorical syllogism
 +
are necessary, ... it is evident that the materials from which
 +
enthymemes are derived will be sometimes necessary, but for the
 +
most part only generally true; and these materials being
 +
probabilities and signs, it follows that these two elements must
 +
correspond to these two kinds of propositions, each to each.  ...
 +
</pre>

Revision as of 15:28, 24 January 2008

Notes & Queries

  1. Jon Awbrey 15:34, 8 January 2006 (UTC)
  2. Jon Awbrey 11:44, 17 May 2007 (PDT)
  3. Jon Awbrey 07:28, 24 January 2008 (PST)

Pragmatic theory of inquiry

Classical models

JA: I am dumping some raw source material here until I can sort it out. Jon Awbrey 19:26, 14 April 2006 (UTC)

References:

 Appendix A:  Sources
 Aristotle:  On Interpretation
 Chapter 1
 
 {1} Words spoken are symbols or signs of affections or impressions
 of the soul;  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, are the same for the whole of mankind,
 as are also the objects of which those affections are
 representations or likenesses, images, copies.
 
 Aristotle:  Prior Analytics
 Book 1 Chapter 4
 {1} When three terms are so related to one another that the last
 is wholly contained in the middle and the middle is wholly
 contained in or excluded from the first, the extremes must admit
 of perfect syllogism.  By 'middle term' I mean that which both is
 contained in another and contains another in itself, and which is
 the middle by its position also; and by 'extremes' (a) that which
 is contained in another, and (b) that in which another is
 contained.  For if A is predicated of all B, and B of all C,
 A must necessarily be predicated of all C.  ...  I call this kind
 of figure the First.
 
 Chapter 5
 
 {2} When the same term applies to all of one subject and to none
 of the other, or to all or none of both, I call this kind of
 figure the Second; and in it by the middle term I mean that which
 is predicated of both subjects; by the extreme terms, the subjects
 of which the middle is predicated; by the major term, that which
 comes next to the middle; and by the minor that which is more
 distant from it.  The middle is placed outside the extreme terms,
 and is first by position.
 
 Chapter 6
 
 {3} If one of the terms applies to all and the other to none of
 the same subject, or if both terms apply to all or none of it,
 I call this kind of figure the Third; and in it by the middle I
 mean that of which both the predications are made; by extremes
 the predicates; by the major term that which is [further from?]
 the middle; and by the minor that which is nearer to it.  The
 middle is placed outside the extremes, and is last by position.
 
 Book 2 Chapter 21
 
 {1} Similarly too with the theory in the Meno that learning is
 recollection.  For in no case do we find that we have previous
 knowledge of the individual, but we do find that in the process
 of induction we acquire knowledge of particular things just as
 though we could remember them; for there are some things which we
 know immediately:  e.g., if we know that X is a triangle we know
 that the sum of its angles is equal to two right angles.
 Similarly too in all other cases.
 
 {2} Thus whereas we observe particular things by universal
 knowledge, we do not know them by the knowledge peculiar to them.
 Hence it is possible to be mistaken about them, not because we
 have contrary knowledge about them, but because, although we have
 universal knowledge of them, we are mistaken in our particular
 knowledge.
 
 Book 2 Chapter 23
 
 {1} Induction epagwgh, or inductive reasoning, consists in
 establishing a relation between one extreme term and the middle
 term by means of the other extreme; e.g., if B is the middle term
 of A and C, in proving by means of C that A applies to B; for this
 is how we effect inductions.  E.g., let A stand for 'long-lived',
 B for 'that which has no bile' and C for the long-lived
 individuals such as man and horse and mule.  Then A applies to the
 whole of C, for every bileless animal is long-lived.  But B, 'not
 having bile', also applies to all C.  Then if C is convertible
 with B, i.e., if the middle term is not wider in extension,
 A must apply to B.
 
 {2} This kind of syllogism is concerned with the first or
 immediate premiss.  Where there is a middle term, the syllogism
 proceeds by means of the middle; where there is not, it proceeds
 by induction.  There is a sense in which induction is opposed to
 syllogism, for the latter shows by the middle term that the major
 extreme applies to the third, while the former shows by means of
 the third that the major extreme applies to the middle.  Thus by
 nature the syllogism by means of the middle is prior and more
 knowable; but syllogism by induction is more apparent to us.
 
 Book 2 Chapter 24
 
 {1} We have an Example paradeigma when the major extreme is shown
 to be applicable to the middle term by means of a term similar to
 the third.  It must be known both that the middle applies to the
 third term and that the first applies to the term similar to the
 third.  E.g., let A be 'bad', B 'to make war on neighbors',
 C 'Athens against Thebes' and D 'Thebes against Phocis'.  Then
 if we require to prove that war against Thebes is bad, we must be
 satisfied that war against neighbors is bad.  Evidence of this can
 be drawn from similar examples, e.g., that war by Thebes against
 Phocis is bad.  Then since war against neighbors is bad, and war
 against Thebes is against neighbors, it is evident that war
 against Thebes is bad.  Now it is evident that B applies to C
 and D (for they are both examples of making war on neighbors),
 and A to D (since the war against Phocis did Thebes no good); but
 that A applies to B will be proved by means of D. ...
 
 {2} Thus it is evident that an example represents the relation,
 not of part to whole or of whole to part, but of one part to
 another, where both are subordinate to the same general term,
 and one of them is known.  It differs from induction in that the
 latter, as we saw, shows from an examination of all the individual
 cases that the [major] extreme applies to the middle, and does not
 connect the conclusion with the [minor] extreme; whereas the
 example does connect it and does not use all the individual cases
 for its proof.
 
 Book 2 Chapter 25
 
 {1} We have Reduction apagwgh (a) when it is obvious that the
 first term applies to the middle, but that the middle applies to
 the last term is not obvious, yet nevertheless is more probable or
 not less probable than the conclusion; or (b) if there are not
 many intermediate terms between the last and the middle; for in
 all such cases the effect is to bring us nearer to knowledge.
 
 {2} (a) E.g., let A stand for 'that which can be taught', B for
 'knowledge' and C for 'morality'.  Then that knowledge can be
 taught is evident; but whether virtue is knowledge is not clear.
 Then if BC is not less probable or is more probable than AC, we
 have reduction; for we are nearer to knowledge for having
 introduced an additional term, whereas before we had no knowledge
 that AC is true.
 
 {3} (b) Or again we have reduction if there are not many
 intermediate terms between B and C; for in this case too we are
 brought nearer to knowledge.  E.g., suppose that D is 'to square',
 E 'rectilinear figure' and F 'circle'.  Assuming that between
 E and F there is only one intermediate term - that the circle
 becomes equal to a rectilinear figure by means of lunules -
 we should approximate to knowledge.
 
 {4} When, however, BC is not more probable than AC, or there are
 several intermediate terms, I do not use the expression
 'reduction'; nor when the proposition BC is immediate; for such
 a statement implies knowledge.
 
 Book 2 Chapter 27
 
 {1} A probability eikoV is not the same as a sign shmeion.  The
 former is a generally accepted premiss; for that which people know
 to happen or not to happen, or to be or not to be, usually in a
 particular way, is a probability:  e.g., that the envious are
 malevolent or that those who are loved are affectionate.  A sign,
 however, means a demonstrative premiss which is necessary or
 generally accepted.  That which coexists with something else,
 or before or after whose happening something else has happened,
 is a sign of that something's having happened or being.
 
 {2} An enthymeme is a syllogism from probabilities or signs; and
 a sign can be taken in three ways - in just as many ways as there
 are of taking the middle term in the several figures ...
 
 {3} We must either classify signs in this way, and regard their
 middle term as an index tekmhrion (for the name 'index' is given
 to that which causes us to know, and the middle term is especially
 of this nature), or describe the arguments drawn from the extremes
 as 'signs', and that which is drawn from the middle as an 'index'.
 For the conclusion which is reached through the first figure is
 most generally accepted and most true.
 
 Aristotle:  The Art of Rhetoric
 
 Book 1 Chapter 2
 
 {1} But for purposes of demonstration, real or apparent, just as
 Dialectic possesses two modes of argument, induction and the
 syllogism, real or apparent, the same is the case in Rhetoric;
 for the example is induction, and the enthymeme a syllogism, and
 the apparent enthymeme an apparent syllogism.  Accordingly I call
 an enthymeme a rhetorical syllogism, and an example rhetorical
 induction.
 
 {2} But since few of the propositions of the rhetorical syllogism
 are necessary, ... it is evident that the materials from which
 enthymemes are derived will be sometimes necessary, but for the
 most part only generally true; and these materials being
 probabilities and signs, it follows that these two elements must
 correspond to these two kinds of propositions, each to each.  ...