[CG] Re: Sign Relational Manifolds

Cf: Sign Relational Manifolds • Discussion 3 https://inquiryintoinquiry.com/2022/11/11/sign-relational-manifolds-discuss… Re: FB | Paradoxology https://www.facebook.com/groups/517592312405190/posts/1300714480759632 ::: Alex Shkotin ( https://www.facebook.com/groups/517592312405190/posts/1300714480759632/?com… <QUOTE AS:> I see — “sign relation” is a special term for triadic relations of some kind (with some properties); like this: thing in first position and thing in second position must refer to the thing in third position. Where “refer” is an unary partial function from one thing to another. Am I on a right direction? Hi Alex, It is not uncommon in practice to find a sign s having many interpretant signs i and many referent objects o. Generally speaking, then, we start out with a sign relation L as a subset of a cartesian product L ⊆ O × S × I, where O, S, I are sets called the “object domain”, “sign domain”, “interpretant sign domain”, respectively. A definition of a sign relation — there are a few canonical ones we find useful in practice — will specify what sort of constraint is involved in forming that subset. Regards, Jon