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

[Jon Awbrey]

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SMILE.  Commentary Note 8

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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 reach the last of the special types of inquiry
that Peirce spotlights in this algebraic paradigm,
one that may be called a "question of invariance":

| Or again, given certain information about 'x', 'y', and 'z',
| what relations between 'x' and 'z' remain unchanged whether
| 'y' be !v! or !f!?
|
| C.S. Peirce, 'Collected Papers', CP 4.250

For ease of comparison with higher-dimensional cases,
let's reformulate this question in the following way:

| Given certain information about 'x_1', ..., 'x_k', what relations
| between 'x_i' and 'x_j', for any pair of indices <i, j> such that
| 1 =< i < j =< k, remain unchanged for all possible assignments of
| values of the remaining variables?

There, that wasn't such a hard paragraph, now was it?

Jon Awbrey

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