Category Archives: Triadic Relations

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 →

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The Power of Peirce’s Thought • 1

Posted on October 4, 2012 by Jon Awbrey

I often wonder that more people do not avail themselves of the power of Peirce’s thought.  “What are they afraid of?” I ask myself.  I find myself asking it that way because there really does seem to be a persistent … Continue reading →

Posted in C.S. Peirce, Dewey, Inquiry, Peirce, References, Triadic Relations, Triadicity, Uncertainty | Tagged , , , , , , , | 2 Comments

Higher Order Sign Relations • 1

Posted on August 1, 2012 by Jon Awbrey

When interpreters reflect on their use of signs they require an appropriate technical language in which to pursue their reflections.  They need signs referring to sign relations, signs referring to elements and components of sign relations, and signs referring to … Continue reading →

Posted in C.S. Peirce, Higher Order Sign Relations, Inquiry, Inquiry Into Inquiry, Logic, Mathematics, Recursion, Reflection, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Type Theory | Tagged , , , , , , , , , , , , | 8 Comments

C.S. Peirce • On the Definition of Logic

Posted on June 1, 2012 by Jon Awbrey

Selections from C.S. Peirce, “Carnegie Application” (1902) No. 12.  On the Definition of Logic Logic will here be defined as formal semiotic.  A definition of a sign will be given which no more refers to human thought than does the … Continue reading →

Posted in C.S. Peirce, Inquiry, Logic, Mathematics, Peirce, Semiotics, Sign Relations, Sources, Triadic Relations | Tagged , , , , , , , , | 35 Comments

C.S. Peirce • A Guess at the Riddle

Posted on March 21, 2012 by Jon Awbrey

Selections from C.S. Peirce, “A Guess at the Riddle”, CP 1.354–416 359.   First and Second, Agent and Patient, Yes and No, are categories which enable us roughly to describe the facts of experience, and they satisfy the mind for a … Continue reading →

Posted in C.S. Peirce, Dynamics, Geometry, Inquiry, Peirce, Physics, Triadic Relations, Triadicity | Tagged , , , , , , , | 10 Comments