Peirce’s 1870 “Logic of Relatives” • Comment 3

Anything that is a Giver of Anything to a Lover of Anything
\text{Figure 21. Anything that is a Giver of Anything to a Lover of Anything}

In passing to more complex combinations of relative terms and the extensional relations they denote, as we began to do in Comments 10.6 and 10.7, I used words like composite and composition along with the usual composition sign ``\circ" to describe their structures.  That amounts to loose speech on my part and I may have to reform my Sprach at a later stage of the Spiel.

At any rate, we need to distinguish the more complex forms of combination encountered here from the ordinary composition of dyadic relations symbolized by ``\circ", whose result must stay within the class of dyadic relations.  We can draw that distinction by means of an adjective or a substantive term — so long as we see it we can parse the words later.

Resources

cc: Conceptual GraphsCyberneticsOntolog Forum
cc: Peirce (1) (2)Structural ModelingSystems Science
cc: FB | Peirce MattersLaws of Form

This entry was posted in C.S. Peirce, Category Theory, Differential Logic, Duality, Dyadic Relations, Graph Theory, Group Theory, Logic, Logic of Relatives, Logical Graphs, Logical Matrices, Mathematics, Peirce, Peirce's Categories, Predicate Calculus, Propositional Calculus, Relation Theory, Semiotics, Sign Relations, Teridentity, Triadic Relations, Visualization and tagged , , , , , , , , , , , , , , , , , , , , , . Bookmark the permalink.

1 Response to Peirce’s 1870 “Logic of Relatives” • Comment 3

  1. Pingback: Survey of Relation Theory • 5 | Inquiry Into Inquiry

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