## 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.

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

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.

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

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

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

### Resources

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