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.

1 Response to Relations & Their Relatives • Discussion 18

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

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.