| Line 387: |
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| | </pre> | | </pre> |
| | | | |
| − | ====1.3.1. Initial Analysis of Inquiry -- Allegro Aperto==== | + | ====1.3.1. Initial Analysis of Inquiry — Allegro Aperto==== |
| | | | |
| | <pre> | | <pre> |
| Line 4,223: |
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| | </pre> | | </pre> |
| | | | |
| − | ====1.3.8. Rondeau — Tempo di Menuetto==== | + | ====1.3.8. Rondeau — Tempo di Menuetto==== |
| | | | |
| | <pre> | | <pre> |
| Line 10,146: |
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| | ====1.3.12. Syntactic Transformations==== | | ====1.3.12. Syntactic Transformations==== |
| | | | |
| − | We have been examining several distinct but closely related notions of indication. To discuss the import of these ideas in greater depth, it serves to establish a number of logical relations and set-theoretic identities that can be found to hold among their roughly parallel arrays of conceptions and constructions. Facilitating this task, in turn, requires a number of auxiliary concepts and notations. | + | We have been examining several distinct but closely related notions of ''indication''. To discuss the import of these ideas in greater depth, it serves to establish a number of logical relations and set-theoretic identities that can be found to hold among their roughly parallel arrays of conceptions and constructions. Facilitating this task requires in turn a number of auxiliary concepts and notations. |
| | | | |
| | The diverse notions of indication presently under discussion are expressed in a variety of different notations, enumerated as follows: | | The diverse notions of indication presently under discussion are expressed in a variety of different notations, enumerated as follows: |
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| | # The geometric language of sets | | # The geometric language of sets |
| | | | |
| − | Correspondingly, one way to explain the relationships that exist among the various notions of indication is to describe the translations that they | + | Correspondingly, one way to explain the relationships that exist among the various notions of indication is to describe the translations that they induce among the associated families of notation. |
| − | induce among the associated families of notation. | |
| | | | |
| | =====1.3.12.1. Syntactic Transformation Rules===== | | =====1.3.12.1. Syntactic Transformation Rules===== |
| | | | |
| − | A good way to summarize the necessary translations between different styles of indication, and along the way to organize their use in practice, is by means of the "rules of syntactic transformation" (ROSTs) that partially formalize the translations in question. | + | A good way to summarize the necessary translations between different styles of indication, and along the way to organize their use in practice, is by means of the ''rules of syntactic transformation'' (ROSTs) that partially formalize the translations in question. |
| | | | |
| | Rudimentary examples of ROSTs are readily mined from the raw materials that are already available in this area of discussion. To begin as near the beginning as possible, let the definition of an indicator function be recorded in the following form: | | Rudimentary examples of ROSTs are readily mined from the raw materials that are already available in this area of discussion. To begin as near the beginning as possible, let the definition of an indicator function be recorded in the following form: |
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| | | | |
| | ==Notes== | | ==Notes== |
| | + | |
| | + | ===Critique Of Functional Reason : Note 78=== |
| | | | |
| | <pre> | | <pre> |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| |
| − |
| |
| − | IDS. Additional Notes
| |
| − |
| |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| |
| − |
| |
| − | CFR. Note 78
| |
| − |
| |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| |
| − |
| |
| | MW = Matthew West: | | MW = Matthew West: |
| | | | |
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| | Therefore, "((x_1),(x_2), ...,(x_k))" partitions the | | Therefore, "((x_1),(x_2), ...,(x_k))" partitions the |
| | universe of discourse, saying "Just one x_j is true". | | universe of discourse, saying "Just one x_j is true". |
| | + | </pre> |
| | | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| + | ===Critique Of Functional Reason : Note 83=== |
| − | | |
| − | CFR. Note 83
| |
| − | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| |
| | | | |
| | + | <pre> |
| | | Tantum ergo sacramentum | | | Tantum ergo sacramentum |
| | | veneremur cernui, | | | veneremur cernui, |
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| | But advise you solely of its transformed instantiations, | | But advise you solely of its transformed instantiations, |
| | And fix my faith on imagination to sense the supplement. | | And fix my faith on imagination to sense the supplement. |
| | + | </pre> |
| | | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| + | ===Critique Of Functional Reason : Note 92=== |
| − | | |
| − | CFR. Note 92
| |
| − | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| |
| | | | |
| | + | <pre> |
| | I need to try and say some things at his point about | | I need to try and say some things at his point about |
| | why formal language theory is interesting and useful, | | why formal language theory is interesting and useful, |
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| | but maybe it will supply a grub-stake of motivational | | but maybe it will supply a grub-stake of motivational |
| | victuals for the grueling labors of exploration ahead. | | victuals for the grueling labors of exploration ahead. |
| | + | </pre> |
| | | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| + | ===IDS. Incitatory Note 1=== |
| − | | |
| − | IDS. Incitatory Note 1 | |
| − | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| |
| | | | |
| | + | <pre> |
| | | Each ground-principle must be proved entirely | | | Each ground-principle must be proved entirely |
| | | by that same kind of inference which it supports. | | | by that same kind of inference which it supports. |
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| | |'Volume 1, 1857-1866', Peirce Edition Project, | | |'Volume 1, 1857-1866', Peirce Edition Project, |
| | | Indiana University Press, Bloomington, IN, 1982. | | | Indiana University Press, Bloomington, IN, 1982. |
| | + | </pre> |
| | | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| + | ===IDS. Meditative Note 1=== |
| − | | |
| − | IDS. Meditative Note 1 | |
| − | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| |
| | | | |
| | + | <pre> |
| | I would like to start from a "common sense practical" (CSP) point of view, | | I would like to start from a "common sense practical" (CSP) point of view, |
| | and, indeed, never to lose sight of what appears evident from that station, | | and, indeed, never to lose sight of what appears evident from that station, |
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| | | | |
| | Or for a rest ... | | Or for a rest ... |
| | + | </pre> |
| | | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| + | ===IDS. Meditative Note 2=== |
| − | | |
| − | IDS. Meditative Note 2 | |
| − | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| |
| | | | |
| | + | <pre> |
| | So I may begin with an object and a sign in a tenuous relation, | | So I may begin with an object and a sign in a tenuous relation, |
| | with the subject matter indexed under the topic name "inquiry", | | with the subject matter indexed under the topic name "inquiry", |
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| | | | |
| | ["sign-ficant" [stet]] | | ["sign-ficant" [stet]] |
| | + | </pre> |
| | | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| + | ===IDS. Obligatory Note 1=== |
| | | | |
| − | IDS. Obligatory Note 1
| + | While I remain compelled to remain silent on the status of the absolute fiat, the irrelative notion of the unmotivated motion and the disinterested stance, let me then turn to the other axes of description, descriptive vs. normative. Axes of description, indeed, you can almost hear one branch of the recursion already beginning to wind up its whine to the verge of a howl, but toss it a sop and try to persevere in the quest. |
| | | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| + | In this view, I regard the very idea of a norm as invoking its due pragma — aim, business, concern, desire, end, function, goal, intention, interest, objective, purpose, its names are legion — and the good sense of the norm is simply to suggest what one ought to do, contingent, of course, on one's motive to achieve that pragma. |
| | | | |
| − | While I remain compelled to remain silent on the status of the absolute fiat,
| + | If we keep in mind the kinds of ''applied research task'' (ART) that your everyday artist, designer, engineer, mathematician, scientist, or other type of technical worker has to carry out on an everyday basis, we note how these axes of description can be used to frame their activities and to depict their forms of conduct, without mistaking either the frame or the picture for the object of the picture so framed. Nor does any body imagine that the observer must flatten out into a single plane or align with a single axis, in order to make a vantage of the frame so pictured. |
| − | the irrelative notion of the unmotivated motion and the disinterested stance,
| |
| − | let me then turn to the other axes of description, descriptive vs. normative.
| |
| − | Axes of description, indeed, you can almost hear one branch of the recursion
| |
| − | already beginning to wind up its whine to the verge of a howl, but toss it a
| |
| − | sop and try to persevere in the quest.
| |
| | | | |
| − | In this view, I regard the very idea of a norm as invoking its due pragma --
| + | Common sense practical wit tells us that effective action toward the achievement of a desirable result will naturally depend on acquiring good descriptions of the lay of the land in which we hope to advance. |
| − | aim, business, concern, desire, end, function, goal, intention, interest,
| |
| − | objective, purpose, its names are legion -- and the good sense of the
| |
| − | norm is simply to suggest what one ought to do, contingent, of course,
| |
| − | on one's motive to achieve that pragma.
| |
| | | | |
| − | If we keep in mind the kinds of "applied research task" (ART) that your
| + | ===IDS. Projective Note 1=== |
| − | everyday artist, designer, engineer, mathematician, scientist, or other
| |
| − | type of technical worker has to carry out on an everyday basis, we note
| |
| − | how these axes of description can be used to frame their activities and
| |
| − | to depict their forms of conduct, without mistaking either the frame or
| |
| − | the picture for the object of the picture so framed. Nor does any body
| |
| − | imagine that the observer must flatten out into a single plane or align
| |
| − | with a single axis, in order to make a vantage of the frame so pictured.
| |
| − | | |
| − | Common sense practical wit tells us that effective action toward the
| |
| − | achievement of a desirable result will naturally depend on acquiring
| |
| − | good descriptions of the lay of the land in which we hope to advance.
| |
| − | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| |
| − | | |
| − | IDS. Projective Note 1 | |
| − | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| |
| | | | |
| | + | <pre> |
| | Good morning. Thanks. I had a bad night. | | Good morning. Thanks. I had a bad night. |
| | I blame Bernard Morand, who wrote me this: | | I blame Bernard Morand, who wrote me this: |
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| | | | |
| | Why am I asking this question? | | Why am I asking this question? |
| | + | </pre> |
| | | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| + | ===IDS. Projective Note 2=== |
| − | | |
| − | IDS. Projective Note 2 | |
| − | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| |
| | | | |
| | + | <pre> |
| | So we may rest assured that we do have a "subject matter", an empirical domain, | | So we may rest assured that we do have a "subject matter", an empirical domain, |
| | or a realm of experience that is indexed, however dimly, generally, or vaguely, | | or a realm of experience that is indexed, however dimly, generally, or vaguely, |
| Line 12,548: |
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| | I hope I have made this sound as truly and | | I hope I have made this sound as truly and |
| | as trivially obvious as it ought to be. | | as trivially obvious as it ought to be. |
| | + | </pre> |
| | | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| + | ===IDS. Reflective Note 1=== |
| − | | |
| − | IDS. Reflective Note 1 | |
| − | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| |
| | | | |
| | + | <pre> |
| | In reflecting on what in the world a "Theory of Inquiry" (TOI) might be, | | In reflecting on what in the world a "Theory of Inquiry" (TOI) might be, |
| | it occurs to me that there are many different things that one might mean | | it occurs to me that there are many different things that one might mean |
| Line 12,571: |
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| | | | |
| | I will think about that, and get back to you. | | I will think about that, and get back to you. |
| | + | </pre> |
| | | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| + | ===IDS. Reflective Note 2=== |
| − | | |
| − | IDS. Reflective Note 2 | |
| − | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| |
| | | | |
| | + | <pre> |
| | | How will I approach this problem about the nature of inquiry? | | | How will I approach this problem about the nature of inquiry? |
| | | | | | |
| Line 12,634: |
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| | | | |
| | http://members.door.net/arisbe/menu/library/bycsp/newlist/nl-main.htm | | http://members.door.net/arisbe/menu/library/bycsp/newlist/nl-main.htm |
| | + | </pre> |
| | | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| + | ===IDS. Work Area=== |
| − | | |
| − | IDS. Work Area | |
| − | | |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| |
| | | | |
| | + | <pre> |
| | From this point of view, inquiry is form of conduct, | | From this point of view, inquiry is form of conduct, |
| | an applied research task, like many others that we | | an applied research task, like many others that we |
| | have to carry out, and that can be done either | | have to carry out, and that can be done either |
| | better or worse. | | better or worse. |
| − |
| |
| − | o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| |
| | </pre> | | </pre> |
| | | | |