Re: FB | Systems Sciences • Kenneth Lloyd

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.

Resources

• Logic Syllabus • Relational Concepts
• Survey • Precursors Of Category Theory

cc: Cybernetics • Ontolog Forum • Structural Modeling • Systems Science