Category Archives: Category Theory

The Difference That Makes A Difference That Peirce Makes • 15

Posted on June 24, 2017 by Jon Awbrey

Re: Peirce List • JA • GF One could hardly dispute the importance of logical implication relations like   Their set-theoretic analogues are subset relations like which are almost the canonical way of expressing constraint, determination, information, and so on.  … Continue reading →

Posted in Animata, Automata, C.S. Peirce, Category Theory, Chomsky, Dewey, Formal Languages, Inquiry, Laws of Form, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Mathematics, Philosophy, Physics, Pragmatism, Quantum Mechanics, Relation Theory, Relativity, Science, Scientific Method, Semiotics, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

The Difference That Makes A Difference That Peirce Makes • 14

Posted on June 24, 2017 by Jon Awbrey

Re: Peirce List • JA • JFS We find ourselves at the thresh‑old of yet another recurring discussion, this time concerning Peirce’s use of the adjectives formal and quasi‑necessary with normative connotations, all of which I think is clear from … Continue reading →

Posted in Automata, C.S. Peirce, Category Theory, Chomsky, Complementarity, Dewey, Formal Languages, Inquiry, Laws of Form, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Mathematics, Peirce, Philosophy, Physics, Pragmatism, Quantum Mechanics, Relation Theory, Relativity, Science, Scientific Method, Semiotics, Spencer Brown | Tagged , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

The Difference That Makes A Difference That Peirce Makes • 13

Posted on June 22, 2017 by Jon Awbrey

I would like to return to a point where the paths of discussion began to diverge and then bifurcated so chaotically that I could not track them further, namely, here: Re: Peirce List • JA • GF • JA I … Continue reading →

Posted in Automata, C.S. Peirce, Category Theory, Chomsky, Complementarity, Dewey, Formal Languages, Inquiry, Laws of Form, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Mathematics, Peirce, Philosophy, Physics, Pragmatism, Quantum Mechanics, Relation Theory, Relativity, Science, Scientific Method, Semiotics, Spencer Brown | Tagged , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

The Difference That Makes A Difference That Peirce Makes • 12

Posted on June 20, 2017 by Jon Awbrey

Re: Peirce List • Kirsti Määttänen I have a sense of what Peirce meant by the “Logic of Science” and what Dewey meant by calling Logic the “Theory of Inquiry”.  If that’s logic in the narrow sense and not Logic … Continue reading →

Posted in Automata, C.S. Peirce, Category Theory, Complementarity, Dewey, Formal Languages, Inquiry, Laws of Form, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Mathematics, Peirce, Philosophy, Physics, Pragmatism, Quantum Mechanics, Relation Theory, Relativity, Science, Scientific Method, Semiotics, Spencer Brown | Tagged , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

The Difference That Makes A Difference That Peirce Makes • 11

Posted on June 17, 2017 by Jon Awbrey

Re: Peirce List • Kirsti Määttänen • Jon Awbrey • John Sowa The most important difference between linguistics and logic is that linguistics is descriptive while logic is normative. Yes, some grammarians try to treat grammar as prescriptive, but most … Continue reading →

Posted in Automata, C.S. Peirce, Category Theory, Chomsky, Complementarity, Formal Languages, Inquiry, Laws of Form, Logic, Logic of Relatives, Logical Graphs, Mathematics, Peirce, Philosophy, Physics, Pragmatism, Quantum Mechanics, Relation Theory, Relativity, Science, Scientific Method, Semiotics, Spencer Brown | Tagged , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

The Difference That Makes A Difference That Peirce Makes • 10

Posted on June 16, 2017 by Jon Awbrey

Re: Peirce List • Jon Alan Schmidt JA: As I am realizing more and more in recent years, analyzing and classifying signs as a substitute for analyzing and classifying objects is the first slip of a slide into nominalism, namely, … Continue reading →

Posted in Automata, C.S. Peirce, Category Theory, Chomsky, Complementarity, Formal Languages, Inquiry, Laws of Form, Logic, Logic of Relatives, Logical Graphs, Mathematics, Peirce, Philosophy, Physics, Pragmatism, Quantum Mechanics, Relation Theory, Relativity, Science, Scientific Method, Semiotics, Spencer Brown | Tagged , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Survey of Relation Theory • 3

Posted on January 17, 2017 by Jon Awbrey

In this Survey of blog and wiki posts on Relation Theory, relations are viewed from the perspective of combinatorics, in other words, as a topic in discrete mathematics, with special attention to finite structures and concrete set-theoretic constructions, many of … Continue reading →

Posted in Algebra, Algebra of Logic, C.S. Peirce, Category Theory, Combinatorics, Discrete Mathematics, Duality, Dyadic Relations, Foundations of Mathematics, Graph Theory, Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiotics, Set Theory, Sign Relational Manifolds, Sign Relations, Surveys, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Peirce’s Categories • 7

Posted on May 13, 2016 by Jon Awbrey

Re: Peirce List Discussion • Ben Udell The week before last my home office got tossed like a salad into the middle of our bedroom floor while workmen worked on various things that needed re-working.  There’s probably a metaphor of … Continue reading →

Posted in Abstraction, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatism, Relation Theory, Semiotics, Thirdness, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | 8 Comments

Peirce’s Categories • 6

Posted on May 12, 2016 by Jon Awbrey

Re: Peirce List Discussion • Ben Udell I read Peirce primarily for his insights into logic, mathematics, and science, which are considerable enough to occupy several lifetimes, and I read him the same way I read other thinkers in those … Continue reading →

Posted in Abstraction, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatism, Relation Theory, Semiotics, Thirdness, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | 8 Comments

Peirce’s Categories • 5

Posted on May 12, 2016 by Jon Awbrey

Re: Peirce List Discussion • Ben Udell For my part, I see a distinctive paradigm of thought and practice immanent in Peirce’s work and all I’ve been trying to do for many years now has been to nudge it a … Continue reading →

Posted in Abstraction, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatism, Relation Theory, Semiotics, Thirdness, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | 8 Comments