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

Cf: Peirce’s 1870 “Logic of Relatives” • Comment 8.2 https://inquiryintoinquiry.com/2014/02/18/peirces-1870-logic-of-relatives-c… All, I continue with my commentary on CP 3.73, developing the “Othello” example as a way of illustrating Peirce’s formalism. Peirce’s 1870 “Logic of Relatives” • Comment 8.2 ================================================ https://oeis.org/wiki/Peirce%27s_1870_Logic_Of_Relatives_%E2%80%A2_Part_1#C… In the development of the story so far, we have a universe of discourse characterized by the following equations. 1 = B +, C +, D +, E +, I +, J +, O b = O m = C +, I +, J +, O w = B +, D +, E This much forms a basis for the collection of absolute terms to be used in the example. Let us now consider how we might represent an exemplary collection of relative terms. Consider the genesis of relative terms, for example: “lover of____” “betrayer to____of____” “winner over of____to____from____” We may regard these fill-in-the-blank forms as being derived by a kind of rhematic abstraction from the corresponding instances of absolute terms. The following examples illustrate the relationships existing among absolute terms, relative terms, relations, and elementary relations. • The relative term “lover of____” can be derived from the absolute term “lover of____Emilia” by removing the absolute term “Emilia”. Iago is a lover of Emilia, so the relate-correlate pair I:E is an element of the dyadic relation associated with the relative term “lover of____”. • The relative term “betrayer to____of____” can be derived from the absolute term “betrayer to Othello of Desdemona” by removing the absolute terms “Othello” and “Desdemona”. Iago is a betrayer to Othello of Desdemona, so the elementary relative term I:O:D is an element of the triadic relation associated with the relative term “betrayer to____of____”. • The relative term “winner over of____to____from____” can be derived from the absolute term “winner over of Othello to Iago from Cassio” by removing the absolute terms “Othello”, “Iago”, and “Cassio”. Iago is a winner over of Othello to Iago from Cassio, so the elementary relative term I:O:I:C is an element of the tetradic relation associated with the relative term “winner over of____to____from____”. Regards, Jon