[Inquiry] Re: Peirce's Logic Of Information

[Jon Awbrey]

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PLOI.  Note 21

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Let's see, have we progressed as far as comprehending the beginning of our story,
even if comprehending means rationalizing, re-visioning, or even retro-fitting?

| Thus suppose a blind man to be told that no red things are blue.
| He has previously known only that red is a color;  and that
| certain things 'A', 'B', and 'C' are red.
|
|    The comprehension of red then has been for him   'color'.
|    Its extension has been                           'A', 'B', 'C'.
|
| C.S. Peirce, 'Chronological Edition', CE 1, 463
| Cf: ICE 19.  http://stderr.org/pipermail/inquiry/2004-November/001933.html
| In: ICE.     http://stderr.org/pipermail/inquiry/2004-November/thread.html#1913

Cosmetically revising "H" for "Hued" for things that have Color
and superficially adding "X" for our tale's encompassing cosmos,
we have come to form the following picture of the overall scene:

` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` X ` ` ` ` ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` o ` ` ` ` ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` `/`\` ` ` ` ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` / ` \ ` ` ` ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` `/` ` `\` ` ` ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` / ` ` ` \ ` ` ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` `/` ` ` ` `\` ` ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` H o ` ` ` ` ` o (H) ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` `/`\` ` ` ` ` `\` ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` / ` \ ` ` ` ` ` \ ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` `/` ` `\` ` ` ` ` `\` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` / ` ` ` \ ` ` ` ` ` \ ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` `/` ` ` ` `\` ` ` ` ` `\` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` R o ` ` ` ` ` o (R) ` ` ` o (R) ` ` ` ` ` ` `
` ` ` ` ` ` ` ` `/|\` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` / | \ ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` `/` | `\` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` / ` | ` \ ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` `/` ` | ` `\` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` o ` ` o ` ` o ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` A ` ` B ` ` C ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `

We must hold in suspension many questions about the comprehension of "Red",
till better comprehending what makes portions of comprehension superfluous,
but there doesn't seem to be the same order of difficulty here with saying
that the extension of "Red" is {A, B, C}, so let us explore that devolving
branch of our conical configuration a little further.

The only difficulty that we have found, so far, with the descent of extent
was the issue of what manner and what degree of information lies incumbent
in our presumptive reposition of three distinct things, 'A', 'B', 'C', and
not just three distinct variables for what is conceivably a lesser variety.

So let us contemplate that issue next.

Jon Awbrey

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inquiry e-lab: http://stderr.org/pipermail/inquiry/
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