John:

The origin of the six “bullets” listed below is unclear.

Are these your personal evaluations of CSP texts?

I ask because it appears to me that # 2 is simply false.
The chemical alphabet is finite.

Cheers

Jerry

> 
> On Thu 13/09/18 10:03 AM , John F Sowa s...@bestweb.net 
> <mailto:s...@bestweb.net> sent:
> 
> ____________________________________________________________________ 
> 
> Summary of what Peirce wrote or implied in his 1903 classification 
> as supplemented by the references cited above: 
> 
> 1. There are two sciences that do not depend on any other science 
> for their subject matter: mathematics and phenomenology. 
> 
> 2. Mathematics, formal and informal, contains all possible theories 
> that can be stated with a finite alphabet in any language, 
> natural or artificial. But before those theories are applied 
> to anything actual, the subject matter is hypothetical. Theorems 
> are necessary conclusions about the assumed possibilities. 
> 
> 3. Phenomenology is the subject that studies anything "present to 
> the mind" in any way from any source (internal to the body or 
> external through the senses). Its subject matter is any and 
> every sign that may appear in the phaneron. 
> 
> 4. Peirce said that every science depends on mathematics. Pure 
> mathematics contains all possible hypotheses -- formal or informal 
> -- before they have been applied to anything. Every theory of any 
> subject whatever is an application of mathematics. 
> 
> 5. When a pure theory is applied to something actual, indexes in 
> the theory (e.g., variables) are linked to actual entities. Its 
> theorems are claims that certain statements about those entities 
> are necessarily true. The reliability of those claims depends 
> on testing by methodeutic. 
> 
> 6. Every theory of logic or semiotic, before it is applied, is 
> a version of pure mathematics. The theories of phenomenology 
> are applied semiotic. Logic as a normative science is, as 
> Peirce said, "a partial and narrow" view. 
> 
> 

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