Cf: Triadic Relations • Preamble
At:
http://inquiryintoinquiry.com/2020/05/20/triadic-relations-%e2%80%a2-preamble/
<QUOTE>
Of triadic Being the multitude of forms is so terrific that I have usually shrunk from the task of enumerating them;
and for the present purpose such an enumeration would be worse than superfluous: it would be a great inconvenience.
— C.S. Peirce, Collected Papers, CP 6.347
https://inquiryintoinquiry.com/2012/06/14/c-s-peirce-%e2%80%a2-of-triadic-being/
</QUOTE>
A triadic relation (or ternary relation) is a special case of a polyadic or finitary relation, one in which the number
of places in the relation is three. One may also see the adjectives 3-adic, 3-ary, 3-dimensional, or 3-place being used
to describe these relations.
Mathematics is positively rife with examples of triadic relations and the field of semiotics is rich in its harvest of
sign relations, which are special cases of triadic relations. In either subject, as Peirce observes, the multitude of
forms truly terrific, so it's best to begin with concrete examples of their vast array. The discussion to follow takes
up a pair of simple, just barely non-trivial, but instructive examples from each of the realms of mathematics and semiotics.
Resources
=========
• Logic Syllabus ( https://inquiryintoinquiry.com/logic-syllabus/ )
• Sign Relations ( https://oeis.org/wiki/Sign_relation )
• Triadic Relations ( https://oeis.org/wiki/Triadic_relation )
• Relation Theory ( https://oeis.org/wiki/Relation_theory )
Regards,
Jon
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