Monthly Archives: April 2014

Peirce’s 1870 “Logic Of Relatives” • Comment 10.9

The use of the concepts of identity and teridentity is not to identify a thing-in-itself with itself, much less twice or thrice over — there is no need and therefore no utility in that.  I can imagine Peirce asking, on Kantian … Continue reading

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Peirce’s 1870 “Logic Of Relatives” • Comment 10.8

There’s a critical transition point in sight of Peirce’s 1870 Logic of Relatives and it’s a point that turns on the teridentity relation. In taking up the next example of relational composition, let’s substitute the relation for Peirce’s relation simply … Continue reading

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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. (19) If we … Continue reading

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Peirce’s 1870 “Logic Of Relatives” • Comment 10.6

As Peirce observes, it is not possible to work with relations in general without eventually abandoning all of one’s algebraic principles, in due time the associative law and maybe even the distributive law, just as we already gave up the … Continue reading

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Peirce’s 1870 “Logic Of Relatives” • Comment 10.5

We have sufficiently covered the application of the comma functor to absolute terms, so let us return to where we were in working our way through CP 3.73 and see whether we can validate Peirce’s statements about the commafications of dyadic … Continue reading

Posted in Graph Theory, Logic, Logic of Relatives, Logical Graphs, Mathematics, Peirce, Relation Theory, Semiotics | Tagged , , , , , , , | 3 Comments