[CG] Re: Peirce's 1870 “Logic of Relatives”

Peirce’s 1870 “Logic of Relatives” • Comment 12.3 (part 1 of 2) https://inquiryintoinquiry.com/2014/06/12/peirces-1870-logic-of-relatives-c… Peirce’s 1870 “Logic of Relatives” • Comment 12.3 https://oeis.org/wiki/Peirce%27s_1870_Logic_Of_Relatives_%E2%80%A2_Part_2#C… All, We now have two ways of computing a logical involution raising a dyadic relative term to the power of a monadic absolute term, for example, ℓ^w for “lover of every woman”. The first method applies set-theoretic operations to the extensions of absolute and relative terms, expressing the denotation of the term ℓ^w as the intersection of a set of relational applications. Equation 1. Denotation Equation L^W https://inquiryintoinquiry.files.wordpress.com/2022/03/lor-1870-denotation-… The second method operates in the matrix representation, expressing the value of the matrix L^W = Math(ℓ^w) at an argument u as a product of coefficient powers. Equation 2. Matrix Computation L^W https://inquiryintoinquiry.files.wordpress.com/2022/03/lor-1870-matrix-comp… Abstract formulas like these are more easily grasped with the aid of a concrete example and a picture of the relations involved. Next time we'll take up one such example. Regards, Jon