Peirce’s 1870 “Logic of Relatives” • Comment 10.10
The last of Peirce’s three examples involving the composition of triadic relatives with dyadic relatives is shown again in Figure 25.
The hypergraph picture of the abstract composition is given in Figure 26.
This example illustrates the way Peirce analyzes the logical conjunction, we might even say the parallel conjunction, of a pair of dyadic relatives in terms of the comma extension and the same style of composition we saw in the last example, that is, according to a pattern of anaphora invoking the teridentity relation.
Laying out the above analysis of logical conjunction on the spreadsheet model of relational composition, the gist of it is the diagonal extension of a dyadic loving relation to a triadic being and loving relation which is then composed with a dyadic serving relation so as to determine a dyadic relation Table 27 schematizes the associated constraints on tuples.
cc: Cybernetics • Ontolog Forum • Structural Modeling • Systems Science
cc: FB | Peirce Matters • Laws of Form • Peirce List (1) (2) (3) (4) (5) (6) (7)
Pingback: Survey of Relation Theory • 3 | Inquiry Into Inquiry
Pingback: Peirce’s 1870 “Logic Of Relatives” • Overview | Inquiry Into Inquiry
Pingback: Peirce’s 1870 “Logic Of Relatives” • Comment 1 | Inquiry Into Inquiry
Pingback: Survey of Relation Theory • 4 | Inquiry Into Inquiry
Pingback: Survey of Relation Theory • 5 | Inquiry Into Inquiry