Peirce’s Categories • 9

Re: Systems Sciences Facebook PageJAKAL

Scanning the spectrum of sources I sampled in my Precursors of Category Theory, there are many differences in the categorical paradigms different observers developed over the centuries.  Just for starters, the numbers of categories vary widely from system to system.  But there is a conceptual continuity in the function category markers perform in every system.  If we look to the role a category marker plays in the relation between formal expressions and their formal objects, in effect, if we look at the matter from a semiotic perspective, as Aristotle already did, then we see the job of a category marker is to reduce (“drive down”) the ambiguity of equivocal linguistic expressions to the point where they obey the laws of logic.


cc: Systems ScienceStructural ModelingOntolog ForumLaws of FormCybernetics

This entry was posted in Abstraction, Aristotle, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatic Maxim, Relation Theory, Semiotics, Triadic Relations, Triadicity, Type Theory and tagged , , , , , , , , , , , , , , , . Bookmark the permalink.

2 Responses to Peirce’s Categories • 9

  1. Pingback: Survey of Precursors Of Category Theory • 1 | Inquiry Into Inquiry

  2. Pingback: Peirce’s Categories • 11 | Inquiry Into Inquiry

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.