Cf: Relations & Their Relatives • Discussion 18 https://inquiryintoinquiry.com/2021/08/17/relations-their-relatives-discussion-18/
Re: Relations & Their Relatives • Review 1 https://inquiryintoinquiry.com/2021/08/15/relations-their-relatives-review-1/ Re: Category Theory https://categorytheory.zulipchat.com/#narrow/stream/233104-theory.3A-logic/topic/relation.20theory ::: Morgan Rogers https://categorytheory.zulipchat.com/#narrow/stream/233104-theory.3A-logic/topic/relation.20theory/near/249601853 <QUOTE MR:> So a “sign process” would be a subset L ⊆ O × S × I × T, where T is a time domain? </QUOTE> There are a couple of ways we usually see the concept of a sign relation L ⊆ O × S × 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′) where s′ 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”. Regards, Jon
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