Peirce’s 1870 “Logic of Relatives” • Comment 10.7

Peirce’s 1870 “Logic of Relatives”Comment 10.7

Here is what I get when I analyze Peirce’s “giver of a horse to a lover of a woman” example along the same lines as the dyadic compositions.

We may begin with the mark-up shown in Figure 19.

Giver of a Horse to a Lover of a Woman

\text{Figure 19. Giver of a Horse to a Lover of a Woman}

If we analyze this in accord with the spreadsheet model of relational composition then the core of it is a particular way of composing a triadic giving relation G \subseteq T \times U \times V with a dyadic loving relation L \subseteq U \times W so as to obtain a specialized type of triadic relation (G \circ L) \subseteq T \times V \times W.  The applicable constraints on tuples are shown in Table 20.

\text{Table 20. Relational Composition}~ G \circ L

Relational Composition G ◦ L

The hypergraph picture of the abstract composition is given in Figure 21.

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}

Resources

cc: CyberneticsOntolog ForumStructural ModelingSystems Science
cc: FB | Peirce MattersLaws of Form • Peirce List (1) (2) (3) (4) (5) (6) (7)

This entry was posted in C.S. Peirce, Logic, Logic of Relatives, Logical Graphs, Mathematics, Relation Theory, Visualization and tagged , , , , , , . Bookmark the permalink.

6 Responses to Peirce’s 1870 “Logic of Relatives” • Comment 10.7

  1. Pingback: Survey of Relation Theory • 3 | Inquiry Into Inquiry

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