Category Archives: Triadic Relations

Triadic Relations, Intentions, Fuzzy Subsets : 2

Posted on December 7, 2012 by Jon Awbrey

We imagine all the things we might want to talk about in a given discussion as collected together in a set X called a universe of discourse.  (In probabilistic or statistical work it might be called a sample space.) By … Continue reading →

Posted in C.S. Peirce, Fuzzy Logic, Fuzzy Sets, Intentional Contexts, Intentional Objects, Intentionality, Intentions, Logic, Logic of Relatives, Lotfi Zadeh, Mathematics, Peirce, Relation Theory, Semiotics, Triadic Relations | Tagged , , , , , , , , , , , , , , | Leave a comment

Triadic Relations, Intentions, Fuzzy Subsets • Discussion 1

Posted on December 6, 2012 by Jon Awbrey

Re: Peirce List Discussion • Stefan Berwing Frequencies, histograms, and probabilities are one way to think about degrees of membership in a fuzzy subset, but there are cautions to be observed in doing that. Consider the following triadic relations: x … Continue reading →

Posted in C.S. Peirce, Fuzzy Logic, Fuzzy Sets, Intentional Contexts, Intentional Objects, Intentionality, Intentions, Logic, Logic of Relatives, Lotfi Zadeh, Mathematics, Peirce, Relation Theory, Semiotics, Triadic Relations | Tagged , , , , , , , , , , , , , , | 1 Comment

Triadic Relations, Intentions, Fuzzy Subsets • 1

Posted on November 27, 2012 by Jon Awbrey

Re: Foundations Of Math Discussion • Lotfi Zadeh Way back during my first foundational crisis (1967–1972), I had been willing to consider almost any alternatives to the usual set theories, so I can remember looking at early accounts of fuzzy … Continue reading →

Posted in C.S. Peirce, Fuzzy Logic, Fuzzy Sets, Intentional Contexts, Intentional Objects, Intentionality, Intentions, Logic, Logic of Relatives, Lotfi Zadeh, Mathematics, Peirce, Relation Theory, Semiotics, Triadic Relations | Tagged , , , , , , , , , , , , , , | 1 Comment

Sign Relational Manifolds • 5

Posted on November 1, 2012 by Jon Awbrey

Let me try to say in intuitive terms what I think is really going on here. The problem we face is as old as the problem of other minds, or intersubjectivity, or even commensurability, and it naturally involves a whole … Continue reading →

Posted in C.S. Peirce, Cybernetics, Differential Geometry, Differential Logic, Geometry, Interoperability, Logic, Manifolds, Mathematics, Riemann, Semiotics, Sign Relational Manifolds, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , | Leave a comment

Sign Relational Manifolds • 4

Posted on October 30, 2012 by Jon Awbrey

Another set of notes I found on this theme strikes me as getting to the point more quickly and though they read a little rough in places I think it may be worth the effort to fill out their general … Continue reading →

Posted in C.S. Peirce, Cybernetics, Differential Geometry, Differential Logic, Geometry, Interoperability, Logic, Manifolds, Mathematics, Riemann, Semiotics, Sign Relational Manifolds, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , | 4 Comments

Sign Relational Manifolds • 3

Posted on October 23, 2012 by Jon Awbrey

I’m not sure when it was I first noticed the relationship between manifolds and semiotics but I distinctly recall the passage in Serge Lang’s Differential and Riemannian Manifolds which brought the triadic character of tangent vectors into high relief.  I … Continue reading →

Posted in C.S. Peirce, Cybernetics, Differential Geometry, Differential Logic, Geometry, Intentionality, Logic, Manifolds, Mathematics, Riemann, Semiotics, Sign Relational Manifolds, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , | Leave a comment

Sign Relational Manifolds • 2

Posted on October 22, 2012 by Jon Awbrey

A sense of how manifolds are applied in practice may be gleaned from the set of excerpts linked below, from Doolin and Martin (1990), Introduction to Differential Geometry for Engineers, which I used in discussing differentiable manifolds with other participants … Continue reading →

Posted in C.S. Peirce, Cybernetics, Differential Geometry, Differential Logic, Geometry, Interoperability, Logic, Manifolds, Mathematics, Riemann, Semiotics, Sign Relational Manifolds, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , | Leave a comment

Sign Relational Manifolds • 1

Posted on October 22, 2012 by Jon Awbrey

Riemann’s concept of a manifold, especially as later developed, bears a close relationship to Peirce’s concept of a sign relation. I will have to wait for my present train of thought to stop at a station before I can hop … Continue reading →

Posted in C.S. Peirce, Cybernetics, Differential Geometry, Differential Logic, Geometry, Interoperability, Logic, Manifolds, Mathematics, Riemann, Semiotics, Sign Relational Manifolds, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , | 2 Comments

The Power of Peirce’s Thought • 3

Posted on October 6, 2012 by Jon Awbrey

Re: Stephen Rose There are reasons why I felt compelled to stand back from the picture that others were painting — of opposing personal styles in the creative process and also in the wider intellectual landscape — and to seek … Continue reading →

Posted in C.S. Peirce, Dewey, Inquiry, Peirce, References, Triadic Relations, Triadicity, Uncertainty | Tagged , , , , , , , | Leave a comment

The Power of Peirce’s Thought • 2

Posted on October 4, 2012 by Jon Awbrey

Re: Kirsti Määttänen You give a good description of the encounter with uncertainty, that unsettled state of mind that irks a person to inquire after new grounds of belief.  Viewed in biological perspective, it is only natural that evolution associates … Continue reading →

Posted in C.S. Peirce, Dewey, Inquiry, Peirce, References, Triadic Relations, Triadicity, Uncertainty | Tagged , , , , , , , | Leave a comment