Relations & Their Relatives : 6

Re: Peirce List DiscussionEdwina TaborskyHoward Pattee

In the best mathematical terms, a triadic relation is a cartesian product of three sets together with a specified subset of that cartesian product.

Alternatively, one may think of a triadic relation as a set of 3-tuples contained in a specified cartesian product.

It is important to recognize that sets have formal properties that their elements do not.  The greatest number of category mistakes that bedevil errant discussions of relations and especially triadic sign relations arise from a failure to grasp this fact.

For example, the irreducibility (or indecomposability) of triadic relations is a property of sets-of-triples, not of individual triples.

See the articles under the following heading for concrete examples and further discussion:

Additional Resources

This entry was posted in C.S. Peirce, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Tertium Quid, Thirdness, Triadic Relations, Triadicity and tagged , , , , , , , , , , , , . Bookmark the permalink.

3 Responses to Relations & Their Relatives : 6

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

  2. Pingback: Survey of Relation Theory • 2 | Inquiry Into Inquiry

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

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