[Inquiry] Re: Simple Meanings In Limnal Expressions -- Commentary -- Correction

Jon Awbrey jawbrey at att.net
Mon Dec 12 16:28:18 CST 2005


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SMILE.  Commentary Note 5

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Re: SMILE 4.  http://stderr.org/pipermail/inquiry/2005-November/003166.html
In: SMILE.    http://stderr.org/pipermail/inquiry/2005-November/thread.html#3166

We were examining the order of algebraic inquiry
that Peirce articulates in the following fashion:

| Again, given certain data concerning 'x',
| we may ask, what else needs to be known in
| order to compel 'x' to be !v! or to be !f!.
|
| C.S. Peirce, 'Collected Papers', CP 4.250

Required, to re-interpret 'x' as a function of the form 'x' : M -> !B!,
where M is a functional domain that will support the interpretation of
phrases like "certain data concerning 'x'" and "what else needs to be
known about 'x'" in a more objective and systematic way, that is, in
a less impressionistic and meta-linguistic way than we observe here.

Probably the most obvious answers are to let M be what is usually called
either a "universe of discourse" or else a "space of possible universes".
In these interpretations, any state of information that is sufficient to
determine a single "point" m of the universe M, or a single "universe" m
of the space M, respectively, is, along with the function 'x', enough to
to determine a single value 'x'(m) in !B!.

Jon Awbrey

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