[CG] Relations & Their Relatives

Relations & Their Relatives • 1 • https://inquiryintoinquiry.com/2024/07/31/relations-their-relatives-1-a/ All, Sign relations are special cases of triadic relations in much the same way binary operations in mathematics are special cases of triadic relations. It amounts to a minor complication that we participate in sign relations whenever we talk or think about anything else but it still makes sense to try and tease the separate issues apart as much as we possibly can. As far as relations in general go, relative terms are often expressed by means of slotted frames like “brother of __”, “divisor of __”, and “sum of __ and __”. Peirce referred to these kinds of incomplete expressions as “rhemes” or “rhemata” and Frege used the adjective “ungesättigt” or “unsaturated” to convey more or less the same idea. Switching the focus to sign relations, it's fair to ask what kinds of objects might be denoted by pieces of code like “brother of __”, “divisor of __”, and “sum of __ and __”. And while we're at it, what is this thing called “denotation”, anyway? Resources — Relation Theory • https://oeis.org/wiki/Relation_theory Triadic Relations • https://oeis.org/wiki/Triadic_relation Sign Relations • https://oeis.org/wiki/Sign_relation Survey of Relation Theory • https://inquiryintoinquiry.com/2024/03/23/survey-of-relation-theory-8/ Peirce's 1870 Logic Of Relatives • https://oeis.org/wiki/Peirce%27s_1870_Logic_Of_Relatives_%E2%80%A2_Overview Regards, Jon cc: https://www.academia.edu/community/Vj80Dj