Tag Archives: Mathematics

Readings On Determination • 1

Posted on April 22, 2016 by Jon Awbrey

Re: Peirce List (1) (2) The concepts of definition and determination converge in their concern for setting bounds to the point where they coincide at a certain level of abstraction.  One avenue of approach to determination may then begin from a consideration … Continue reading →

Posted in C.S. Peirce, Comprehension, Constraint, Definition, Determination, Differential Logic, Extension, Form, Indication, Information = Comprehension × Extension, Inquiry, Inquiry Driven Systems, Intension, Leibniz, Logic, Logic of Relatives, Mathematics, Peirce, Prigogine, Relation Theory, Relational Programming, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 8 Comments

Readings On Determination • Discussion 2

Posted on April 21, 2016 by Jon Awbrey

Re: Peirce List (1) (2) Re: Jeffrey Downard (1) (2) (3) Having been through this same discussion on many previous occasions I’ll try to sum up the more persistent confusions never ceasing to bedevil the subject.  Most of these arise from … Continue reading →

Posted in C.S. Peirce, Comprehension, Constraint, Definition, Determination, Differential Logic, Extension, Form, Indication, Information = Comprehension × Extension, Inquiry, Inquiry Driven Systems, Intension, Leibniz, Logic, Logic of Relatives, Mathematics, Peirce, Prigogine, Relation Theory, Relational Programming, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 6 Comments

Readings On Determination • Discussion 1

Posted on April 21, 2016 by Jon Awbrey

Re: Peirce List (1) (2) What I’m really after here has to do with the way a certain concept of determination figures into Peirce’s better definitions of a sign relation — “better” meaning definitions strong enough to bear the load … Continue reading →

Posted in C.S. Peirce, Comprehension, Constraint, Definition, Determination, Differential Logic, Extension, Form, Indication, Information = Comprehension × Extension, Inquiry, Inquiry Driven Systems, Intension, Leibniz, Logic, Logic of Relatives, Mathematics, Peirce, Prigogine, Relation Theory, Relational Programming, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 6 Comments

Definition and Determination • 13

Posted on April 15, 2016 by Jon Awbrey

Re: Peirce List (1) (2) Re: Jerry Rhee (1) (2) Verbal acrobatics can get a person only so far, even for a high-wire act like C.S. Peirce, and all the great failures to launch I’ve seen pragmatism and semiotics suffer from … Continue reading →

Posted in C.S. Peirce, Comprehension, Constraint, Definition, Determination, Extension, Form, Indication, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Mathematics, Peirce, Semiotics, Structure | Tagged , , , , , , , , , , , , , , , , | 6 Comments

Definition and Determination • 12

Posted on April 14, 2016 by Jon Awbrey

Re: Peirce List (1) (2) Re: Jerry Rhee, quoting Peirce (1) (2) The surprising fact, C, is observed; But if A were true, C would be a matter of course, Hence, there is reason to suspect that A is true.  … Continue reading →

Posted in C.S. Peirce, Comprehension, Constraint, Definition, Determination, Extension, Form, Indication, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Mathematics, Peirce, Semiotics, Structure | Tagged , , , , , , , , , , , , , , , , | 6 Comments

Readings On Determination

Posted on April 11, 2016 by Jon Awbrey

This is an anchor post for a set of readings on determination, taking a census of the senses Peirce used in his pragmatic approach to information, inquiry, science, and signs with a pinch of readings from other writers for historical … Continue reading →

Posted in C.S. Peirce, Comprehension, Constraint, Definition, Determination, Extension, Information, Information = Comprehension × Extension, Inquiry, Inquiry Driven Systems, Intension, Leibniz, Logic, Mathematics, Prigogine, Relation Theory, Semiotics, Sign Relations, Systems Theory, Triadicity | Tagged , , , , , , , , , , , , , , , , , , , | 13 Comments

Definition and Determination • 11

Posted on April 4, 2016 by Jon Awbrey

Re: Peirce List (1) (2) Re: Gary Fuhrman (1) (2) Re: Jeffrey Downard (1) (2) The subject of determination comes up from time to time.  Here is a link to an assortment of excerpts I collected when I was first … Continue reading →

Posted in C.S. Peirce, Comprehension, Constraint, Definition, Determination, Extension, Form, Indication, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Mathematics, Peirce, Semiotics, Structure | Tagged , , , , , , , , , , , , , , , , | 6 Comments

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

Problems In Philosophy • 5

Posted on February 10, 2016 by Jon Awbrey

Re: Michael Harris • Are Your Colleagues Zombies? What makes a zombie a legitimate object of philosophical inquiry is its absence of consciousness.  And today’s question is whether mathematical research requires consciousness, or whether it could just as well be … Continue reading →

Posted in Aristotle, Automata, Automated Research Tools, Automation, Cognition, Computation, Consciousness, Freud, Inquiry, Inquiry Driven Systems, Intentionality, Mathematics, Mechanization, Michael Harris, Peirce, Philosophy, Philosophy of Mathematics, Philosophy of Mind, Plato, Psychology, Routinization, Socrates, Sophist, Turing Test | Tagged , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment