Category Archives: Triadic Relations

Systems of Interpretation • 6

Posted on April 5, 2016 by Jon Awbrey

Re: Peirce List • Jon Awbrey • John Collier JA: Questions about the meaning of the “central hub” in the “three‑spoked” picture of an elementary sign relation have often come up.  The central “spot”, as Peirce called it in his … Continue reading →

Posted in C.S. Peirce, Diagrammatic Reasoning, Interpretive Frameworks, Logic, Logical Graphs, Objective Frameworks, Relation Theory, Semiotics, Sign Relations, Systems of Interpretation, Triadic Relations, Visualization | Tagged , , , , , , , , , , , | 1 Comment

Systems of Interpretation • 5

Posted on March 31, 2016 by Jon Awbrey

Re: Peirce List • Jerry Chandler An elementary sign relation is an ordered triple   It is called elementary because it is one element of a sign relation where is a set of objects, is a set of signs, and … Continue reading →

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Systems of Interpretation • 4

Posted on March 30, 2016 by Jon Awbrey

Re: Peirce List • Mike Bergman • Valentine Daniel For its pertinence to the present discussion, here again is what Peirce wrote about the mathematical way of using individual or particular cases to make general hypotheses or suppositions: Mathematical Demonstration … Continue reading →

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Systems of Interpretation • 3

Posted on March 29, 2016 by Jon Awbrey

Re: Peirce List • Mike Bergman • Valentine Daniel The “triskelion” figure in the previous post shows the bare essentials of an elementary sign relation or individual triple   There’s a less skeletal figure Susan Awbrey and I used in … Continue reading →

Posted in C.S. Peirce, Diagrammatic Reasoning, Interpretive Frameworks, Logic, Logical Graphs, Objective Frameworks, Relation Theory, Semiotics, Sign Relations, Systems of Interpretation, Triadic Relations, Visualization | Tagged , , , , , , , , , , , | 1 Comment

Systems of Interpretation • 2

Posted on March 28, 2016 by Jon Awbrey

Re: Peirce List • Mike Bergman • Valentine Daniel Let’s start as simply as possible.  The following Figure is typical of many I have used to illustrate sign relations from the time I first began studying Peirce’s theory of signs. … Continue reading →

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Systems of Interpretation • 1

Posted on March 28, 2016 by Jon Awbrey

Re: Peirce List • Mike Bergman • Valentine Daniel Questions have arisen about the different styles of diagrams and figures used to represent triadic sign relations in Peircean semiotics.  What do they mean?  Which style is best?  Among the most … Continue reading →

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Homunculomorphisms • 2

Posted on February 12, 2016 by Jon Awbrey

Re: John Baez • The Internal Model Principle There’s a far-ranging discussion that takes off from this point, touching on links among analogical reasoning, arrows and functors, cybernetic images, iconic versus symbolic representations, mental models, systems simulations, etc., and just … Continue reading →

Posted in Analogy, Ashby, Automata, Control Systems, Cybernetics, Homunculi, Homunculomorphisms, Iconicity, Information Theory, Inquiry, Inquiry Driven Systems, Intentionality, Internal Models, Logic, Logic of Science, Mathematics, Mental Models, Model Theory, Optimal Control, Peirce, Semiotics, Systems Theory, Triadic Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Homunculomorphisms • 1

Posted on February 11, 2016 by Jon Awbrey

Re: John Baez • The Internal Model Principle Ashby’s book was my own first introduction to cybernetics and I recently returned to his discussion of regulation games in connection with some issues in Peirce’s theory of inquiry. In that context … Continue reading →

Posted in Ashby, Automata, Category Theory, Control, Control Systems, Control Theory, Cybernetics, Homunculi, Homunculomorphisms, Information, Information Theory, Inquiry, Inquiry Driven Systems, Intentionality, Internal Models, Logic of Science, Mathematics, Mental Models, Optimal Control, Peirce, Systems Theory, Triadic Relations | Tagged , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Relations & Their Relatives • Discussion 17

Posted on January 4, 2016 by Jon Awbrey

Re: Peirce List Discussion • HR We have been considering special properties that a dyadic relation may have, in particular, the following two symmetry properties. A dyadic relation is symmetric if being in implies that is in A dyadic relation is … Continue reading →

Posted in C.S. Peirce, Dyadic Relations, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , | 12 Comments

Considerate Reason • 2

Posted on December 29, 2015 by Jon Awbrey

Re: R.J. Lipton • Why Is Discrete Math Hard To Teach? The Liberal Arts trivium of Grammar, Logic, Rhetoric received a latter day echo in the Unified Science trivium of Syntax, Semantics, Pragmatics, which was in turn the way Charles Morris … Continue reading →

Posted in Argument, C.S. Peirce, Computer Programming, Discrete Mathematics, Education, Educational Systems Design, Grammar, Inquiry, Inquiry Driven Systems, Interpretation, Logic, Logic of Relatives, Mathematics, Peirce, Pragmatics, Relation Theory, Rhetoric, Semantics, Semiotics, Sign Relations, Syntax, Triadic Relations | Tagged , , , , , , , , , , , , , , , , , , , , , | Leave a comment