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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