Relations & Their Relatives • Discussion 18

Re: Relations & Their Relatives • Review 1
Re: Category TheoryMorgan Rogers

MR:
So a “sign process” would be a subset L \subseteq O \times S \times I \times T, where T is a time domain?

There are a couple of ways we usually see the concept of a sign relation L \subseteq O \times S \times I being applied.

  • There is the translation scenario where S and I are two different languages and a large part of L consists of triples (o, s, i) where s and i are co-referent or otherwise equivalent signs.
  • There is the transition scenario where S = I and we have triples of the form (o, s, s^\prime) where s^\prime is the next state of s in a sign process.  As it happens, a concept of process is more basic than a concept of time, since the latter involves reference to a standard process commonly known as a clock.

cc: Category TheoryCyberneticsOntologStructural ModelingSystems Science
cc: FB | Relation TheoryLaws of Form • Peirce List (1) (2) (3)

This entry was posted in C.S. Peirce, Category Theory, Control, Cybernetics, Dyadic Relations, Information, Inquiry, Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations, Systems Theory, Triadic Relations and tagged , , , , , , , , , , , , , , , , . Bookmark the permalink.

4 Responses to Relations & Their Relatives • Discussion 18

  1. Pingback: Survey of Relation Theory • 4 | Inquiry Into Inquiry

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