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Not every state of information allows the interpolation of a compact object with its own comprehension and extension, but this epistemic situation does.

Not every state of information allows the interpolation of a compact object with its own comprehension and extension, but this epistemic situation does.

* Cf: [http://stderr.org/pipermail/inquiry/2004-November/001914.html ICE 2]

* [http://web.archive.org/web/20150302042625/http://stderr.org/pipermail/inquiry/2004-November/thread.html#1913 Information = Comprehension × Extension] • [http://web.archive.org/web/20150302042603/http://stderr.org/pipermail/inquiry/2004-November/001914.html Selection 2]

* In: [http://stderr.org/pipermail/inquiry/2004-November/thread.html#1913 ICE]

* Cf: [http://stderr.org/pipermail/inquiry/2005-December/003280.html PLOI-DIS 1]

* [http://web.archive.org/web/20120512004315/http://stderr.org/pipermail/inquiry/2005-December/thread.html#3280 Peirce's Logic Of Information • Discussion] • [http://web.archive.org/web/20081007062911/http://stderr.org/pipermail/inquiry/2005-December/003280.html Note 1]

* In: [http://stderr.org/pipermail/inquiry/2005-December/thread.html#3280 PLOI-DIS]

As mentioned in the above Discussion Note, one of the difficulties that we encounter in trying to model Peirce's blind man story is the problem of how to handle ''improper implications'' or ''trivial intensions'' of the form ''X'' ⇒ ''X''.  On the one hand, any concept or term will significantly alter the informational situation when it first arises, for example, on the prompting of an abductive hypothesis or other creative intervention.  On the other hand, Peirce appears to discount these types of intensions by accounting for the information as the "superfluous comprehension" of a symbol, in effect, as the intension that a symbol has "over and above what is necessary for limiting its extension" (CE 1, 276).  I sought to finesse this issue in my retelling of the story by interjecting a prior episode where the abductive factorization is more explicitly considered.  Only time will tell whether this is a sensible direction to take or not.

As mentioned in the above Discussion Note, one of the difficulties that we encounter in trying to model Peirce's blind man story is the problem of how to handle ''improper implications'' or ''trivial intensions'' of the form ''X'' ⇒ ''X''.  On the one hand, any concept or term will significantly alter the informational situation when it first arises, for example, on the prompting of an abductive hypothesis or other creative intervention.  On the other hand, Peirce appears to discount these types of intensions by accounting for the information as the "superfluous comprehension" of a symbol, in effect, as the intension that a symbol has "over and above what is necessary for limiting its extension" (CE 1, 276).  I sought to finesse this issue in my retelling of the story by interjecting a prior episode where the abductive factorization is more explicitly considered.  Only time will tell whether this is a sensible direction to take or not.

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| C.S. Peirce, 'Chronological Edition', CE 1, 467

| C.S. Peirce, 'Chronological Edition', CE 1, 467

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These ideas sound plausible enough at first — at least they did to me — but in trying to work out the kinds of details that it would take to make a bona fide measure out of this notion of information, we run into a bunch of questions that we have to answer before going on.

These ideas sound plausible enough at first — at least they did to me — but in trying to work out the kinds of details that it would take to make a bona fide measure out of this notion of information, we run into a bunch of questions that we have to answer before going on.

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| C.S. Peirce, 'Chronological Edition', CE 1, 463

| C.S. Peirce, 'Chronological Edition', CE 1, 463

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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:

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: