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

[Jon Awbrey]

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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.

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 such as "certain data concerning 'x'" and "what else needs to
be known about 'x'" in a more objective and systematic way, a less
impressionistic and meta-linguistic way than we observe upseen in the textswe've used so have seen
hereso far used herethat used tiso far used we have so far.

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