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| Consider the following attempts at interpretation: | | Consider the following attempts at interpretation: |
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− | : 1. Your concept of x is your concept of the practical effects of x. | + | :* Your concept of <math>x\!</math> is your concept of the practical effects of <math>x.\!</math> |
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| Not exactly. It seems a bit more like: | | Not exactly. It seems a bit more like: |
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− | : 2. Your concept of x is your concept of your-conceived-practical-effects of x. | + | :* Your concept of <math>x\!</math> is your concept of your-conceived-practical-effects of <math>x.\!</math> |
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| Converting to a third person point of view: | | Converting to a third person point of view: |
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− | : 3. j's concept of x is j's concept of j's-conceived-practical-effects of x. | + | :* <math>j\!</math>'s concept of <math>x\!</math> is <math>j\!</math>'s concept of <math>j\!</math>'s-conceived-practical-effects of <math>x.\!</math> |
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| An ordinary closure principle looks like this: | | An ordinary closure principle looks like this: |
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− | : C(x) = C(C(x)) | + | : <math>C(x) = C(C(x))\!</math> |
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− | It is tempting to try and read the pragmatic maxim as if it had the following form, where C and E are supposed to be a 1-adic functions for "concept of" and "effects of", respectively. | + | It is tempting to try and read the pragmatic maxim as if it had the following form, where <math>C\!</math> and <math>E\!</math> are supposed to be a 1-adic functions for "concept of" and "effects of", respectively. |
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− | 1-adic functional case: | + | : 1-adic functional case: |
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− | : C(x) = C(E(x)) | + | : <math>C(x) = C(E(x))\!</math> |
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| But it is really more like: | | But it is really more like: |
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− | 2-adic functional case: | + | : 2-adic functional case: |
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− | : C(y, x) = C(y, E(y, x)) | + | : <math>C(y, x) = C(y, E(y, x))\!</math> |
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| where: | | where: |
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− | # y = you.
| + | : <math>y\!</math> = you. |
− | # C(y, x) = the concept that you have of x.
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− | # E(y, x) = the effects that you know of x.
| + | : <math>C(y, x)\!</math> = the concept that you have of <math>x.\!</math> |
| + | |
| + | : <math>E(y, x)\!</math> = the effects that you know of <math>x.\!</math> |
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| <pre> | | <pre> |
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| </pre> | | </pre> |
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− | The concept that you have of x is the concept that you have of the effects that you know of x. | + | The concept that you have of <math>x\!</math> is the concept that you have of the effects that you know of <math>x.\!</math> |
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| It is also very likely that the functional interpretations will not do the trick, and that 3-adic relations will need to be used instead. | | It is also very likely that the functional interpretations will not do the trick, and that 3-adic relations will need to be used instead. |
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| '''Source.''' [http://grouper.ieee.org/groups/suo/ontology/msg04316.html Jon Awbrey (08 Aug 2002), "Inquiry Driven Systems : Note 23", Ontology List, Peirce List]. | | '''Source.''' [http://grouper.ieee.org/groups/suo/ontology/msg04316.html Jon Awbrey (08 Aug 2002), "Inquiry Driven Systems : Note 23", Ontology List, Peirce List]. |