Category Archives: Logic of Relatives

Peirce’s Categories • 7

Posted on May 13, 2016 by Jon Awbrey

Re: Peirce List Discussion • Ben Udell The week before last my home office got tossed like a salad into the middle of our bedroom floor while workmen worked on various things that needed re-working.  There’s probably a metaphor of … Continue reading →

Posted in Abstraction, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatism, Relation Theory, Semiotics, Thirdness, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | 8 Comments

Peirce’s Categories • 6

Posted on May 12, 2016 by Jon Awbrey

Re: Peirce List Discussion • Ben Udell I read Peirce primarily for his insights into logic, mathematics, and science, which are considerable enough to occupy several lifetimes, and I read him the same way I read other thinkers in those … Continue reading →

Posted in Abstraction, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatism, Relation Theory, Semiotics, Thirdness, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | 8 Comments

Peirce’s Categories • 5

Posted on May 12, 2016 by Jon Awbrey

Re: Peirce List Discussion • Ben Udell For my part, I see a distinctive paradigm of thought and practice immanent in Peirce’s work and all I’ve been trying to do for many years now has been to nudge it a … Continue reading →

Posted in Abstraction, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatism, Relation Theory, Semiotics, Thirdness, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | 8 Comments

Peirce’s Categories • 4

Posted on May 11, 2016 by Jon Awbrey

Re: Peirce List Discussions • (1) • (2) • (3) • (4) • (5) Let me state a few principles that have guided me in my efforts to read and understand Peirce for the past fifty years. There is a … Continue reading →

Posted in Abstraction, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Peirce's Categories, Phenomenology, Philosophy, Pragmatism, Relation Theory, Semiotics, Thirdness, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , , | 8 Comments

Readings On Determination • Discussion 3

Posted on April 23, 2016 by Jon Awbrey

Re: Readings On Determination • 1 I keep coming back to Peirce’s early lectures on the logic of science because we see there the first inklings of his prospective theory of information, one of those ideas whose time was ripe … 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 • 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

Readings On Determination

Posted on April 11, 2016 by Jon Awbrey

This is an anchor post for a set of readings on determination, focusing on the census of senses Peirce employed 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, 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 , , , , , , , , , , , , , , , , , , , , , , | 13 Comments

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