List, Jon, Gary, Helmut:

> On Nov 1, 2024, at 5:10 PM, Jon Alan Schmidt <[email protected]> wrote:
> 
> Of course, Peirce rejected all three of these in favor of scholastic 
> realism--propositions do not (metaphysically) exist, but they are real as 
> representations of purported facts prescinded from reality as a whole.

>From the perspective of the histories of the sciences and the goals of 
>meaningful communication, I find this conjecture to nothing less than absurd.

CSP developed his notions of logic from chemical demonstrations and gives many 
many examples of this throughout his texts. (Personal and scientific integrity 
require every CSP scholar to acknowledge the scientific role of these concepts 
in evaluating CSP texts.) These demonstrations of material facts are remote 
from the assertions that CSP's originality is merely a minor extension of 
"scholastic realism”  

I would suggest that the first four Aristotelian categories (substance, 
quality, quantity, and relatives) are the principle basis of the developments 
of the structuralism presented in:

Quality-signs, sin-signs, legi-signs,
Images(icons), indicies, symbols
Rhema, decisions, arguments

such that chemical demonstrations are grounded on the chemical indices as 
constituents of chemical symbols and the “legi-signs" (identities) of the 
sin-signs.

I would further suggest that for CSP, the role of the indices is placed in the 
center of the eight other terms because it is a direct logical quantitative 
connective to the qualities and term assignments of all chemical 
demonstrations.  The corresponding grammar of the chemical connectives 
(essential to semiosis) are expressions of the meanings of connectivity of the 
semiotic with the semes (cognitive signs), the semiology (legisigns) with the 
semantics. 

My reasoning for this logical perspectives is that it is consistent with 
chemical practice, then and now. 
The modern chemical practice is grounded in the TERM logic of Aristotelian 
syllogisms, (chemical elements as names of objects) not the sentential logic of 
modern first predicate logic grounded in various connectives that are totally 
unrelated to CSP expressions of chemical connectives as the source of lattice 
points.

In modern terminology, the Quali-signs (semiotic terms) determine the indices 
of the sin-sign  (identity of the object) which in turn determine the argument 
that generates the legi-sign (the name of the chemical object).  In set 
theoretic terms, the set of indices (determined / demonstrated from) the 
quali-sign are arranged to assign the organization of the legisign.   This line 
of reasoning follows the structuralism of modern mathematics in the sense of  [ 
“sets” —> "permutation groups” —> “categories”] for any chemical object, 
including higher order perplex structures. 

Cheers
Jerry 

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