Category Archives: Peirce

Duality Indicating Unity • 1

Posted on January 31, 2013 by Jon Awbrey

Re: R.J. Lipton • Mathematical Tricks A formal duality points to a higher unity — a calculus of forms whose expressions can be read in two different ways by switching the meanings assigned to a pair of primitive terms. I … Continue reading →

Posted in Abstraction, C.S. Peirce, Duality, Form, Indication, Interpretation, Peirce, Unity | Tagged , , , , , , , | 19 Comments

Triadic Relation Irreducibility • 2

Posted on January 18, 2013 by Jon Awbrey

Re: Peirce List • Matt Faunce • Jon Awbrey • Jon Awbrey Though my present object has more to do with the logical and mathematical aspects of triadic relations than it does with their psychological embodiments, the following exchange on … Continue reading →

Posted in C.S. Peirce, Category Theory, Inquiry, Logic, Logic of Relatives, Mathematics, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relational Manifolds, Sign Relations, Teridentity, Thirdness, Triadic Relations | Tagged , , , , , , , , , , , , , , , | 1 Comment

Triadic Relation Irreducibility • 1

Posted on January 17, 2013 by Jon Awbrey

The core insight of Peirce’s conceptual system is the recognition that triadic relations are sui generis, constituting a class by themselves.  Understanding the properties of triadic relations and the consequences of their irreducibility is critical to understanding Peirce’s thought and work.  … Continue reading →

Posted in C.S. Peirce, Category Theory, Inquiry, Logic, Logic of Relatives, Mathematics, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relational Manifolds, Sign Relations, Teridentity, Thirdness, Triadic Relations | Tagged , , , , , , , , , , , , , , , | 11 Comments

Theme One • A Program Of Inquiry 3

Posted on December 31, 2012 by Jon Awbrey

Re: Peirce List • Gary Richmond The program I wrote for my M.A. in Psych was barely a prototype, a “test of concept”, as they say, but I continued to develop and apply the underlying collection of ideas to a number … Continue reading →

Posted in Artificial Intelligence, C.S. Peirce, Cognition, Computation, Constraint Satisfaction Problems, Cybernetics, Formal Languages, Inquiry, Inquiry Driven Systems, Intelligent Systems, Learning Theory, Logic, Peirce, Semiotics | Tagged , , , , , , , , , , , , , | 8 Comments

Constraints and Indications • 1

Posted on December 23, 2012 by Jon Awbrey

Re: Peirce List • Christophe Menant • Jon Awbrey • Christophe Menant The system-theoretic concept of constraint is one that unifies a manifold of other notions — definition, determination, habit, information, law, predicate, regularity, and so on.  Indeed, it is … Continue reading →

Posted in Adaptive Systems, Artificial Intelligence, Ashby, C.S. Peirce, Constraint, Control, Cybernetics, Determination, Error-Controlled Regulation, Feedback, Indication, Indicator Functions, Information, Inquiry, Inquiry Driven Systems, Intelligent Systems, Intentionality, Learning Theory, Peirce, Semiotic Information, Semiotics, Systems Theory, Uncertainty | Tagged , , , , , , , , , , , , , , , , , , , , , , | 2 Comments

Theme One • A Program Of Inquiry 2

Posted on December 21, 2012 by Jon Awbrey

Re: Peirce List • Jerry Chandler I think I was probably the first person in that particular psychology department to submit a program as a master’s thesis, at any rate they didn’t have regular procedures set up for that kind … Continue reading →

Posted in Artificial Intelligence, C.S. Peirce, Cognition, Computation, Constraint Satisfaction Problems, Cybernetics, Formal Languages, Inquiry, Inquiry Driven Systems, Intelligent Systems, Learning Theory, Logic, Peirce, Semiotics | Tagged , , , , , , , , , , , , , | 8 Comments

Demonstrative And Otherwise

Posted on December 17, 2012 by Jon Awbrey

I am constantly encountering what I perceive as echoes of Peircean themes in places where acquaintance with or interest in Peirce’s work is slight at best, and that leaves me with a lot of pent up thoughts that I’ve learned through … Continue reading →

Posted in Abduction, Artificial Intelligence, C.S. Peirce, Computation, Computational Complexity, Cybernetics, Deduction, Induction, Inquiry, Inquiry Driven Systems, Intelligent Systems, Logic, Peirce, Programming, Semiotics | Tagged , , , , , , , , , , , , , , | 2 Comments

Triadic Relations, Intentions, Fuzzy Subsets • Discussion 3

Posted on December 9, 2012 by Jon Awbrey

Re: Peirce List Discussion • Gary Moore • Stefan Berwing I intend to get back to this subject as soon as possible but the dire political situation in my home state is once again eating up a lot of my … 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, Probability, Relation Theory, Semiotics, Triadic Relations | Tagged , , , , , , , , , , , , , , , | Leave a comment

Triadic Relations, Intentions, Fuzzy Subsets • Discussion 2

Posted on December 8, 2012 by Jon Awbrey

Re: Peirce List Discussion • Stefan Berwing Let us put fuzzy sets to one side for the moment and take up the matter of belief you raised, as I believe that connection is very apt. As it happens, there was … Continue reading →

Posted in Belief, Bertrand Russell, 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 : 3

Posted on December 7, 2012 by Jon Awbrey

There is at present an extensive literature on fuzzy sets and fuzzy logic.  I got another brush with the world of fuzzy in the 1990s when I returned to grad school in a systems engineering program, partly because my adviser … 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