Inquiry Driven Systems • Discussion 7

Re: Category TheoryHenry Story

I place Logic within Mathematics and modal logic is a field of Logic,
and so of mathematics.  You will find that modal logic comes up a lot
working with machines, programs, and all state based systems.

Dear Henry,

Just by way of personal orientation, I tend to follow Peirce and assorted classical sources in viewing logic as a normative science whereas mathematics is a hypothetical descriptive science.  That gives a picture of their relationship like the one I drew in the following post.

Definition and Determination • 4

Peirce Syllabus

Normative science rests largely on phenomenology and on mathematics;
metaphysics on phenomenology and on normative science.

❧ Charles Sanders Peirce • Collected Papers, CP 1.186 (1903)
Syllabus • Classification of Sciences (CP 1.180–202, G-1903-2b)

The way I see it, then, logic is more an application of mathematics than a subfield of it.

cc: Category TheoryCyberneticsOntologStructural ModelingSystems Science
cc: FB | Inquiry Driven SystemsLaws of Form • Peirce List (1) (2) (3)

This entry was posted in Animata, Artificial Intelligence, C.S. Peirce, Cybernetics, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Intelligent Systems, Learning Systems, Logic, Logical Graphs, Peirce, Semiotics, Sign Relations, Visualization and tagged , , , , , , , , , , , , , , . Bookmark the permalink.

1 Response to Inquiry Driven Systems • Discussion 7

  1. Pingback: Survey of Inquiry Driven Systems • 3 | Inquiry Into Inquiry

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