Tag Archives: Mathematics

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

Definition and Determination • 14

Posted on May 5, 2016 by Jon Awbrey

Re: Peirce List (1) (2) I’ve been trying to sort through the explosion of topics and tangents that have arisen over the past month — disruptions in my actual and virtual office spaces have made it hard for me to … 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 , , , , , , , , , , , , , , , , | 5 Comments

Types of Reasoning in C.S. Peirce and Aristotle • 2

Posted on April 28, 2016 by Jon Awbrey

Re: Peirce List Discussion • Ben Udell • Gary Richmond Present business has kept me from following much of the recent discussion on Peirce’s three types of reasoning, but we have been down this road before and so old tunes … Continue reading →

Posted in Abduction, Analogy, Argument, Aristotle, C.S. Peirce, Constraint, Deduction, Determination, Diagrammatic Reasoning, Diagrams, Differential Logic, Functional Logic, Hypothesis, Indication, Induction, Inference, Information, Inquiry, Logic, Logic of Science, Mathematics, Peirce, Peirce List, Philosophy, Probable Reasoning, Propositional Calculus, Propositions, Reasoning, Retroduction, Semiotic Information, Semiotics, Sign Relations, Syllogism | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 2 Comments

Types of Reasoning in C.S. Peirce and Aristotle • 1

Posted on April 26, 2016 by Jon Awbrey

Re: Peirce List Discussion In one of his earliest treatments of the three types of reasoning, from his Harvard Lectures “On the Logic of Science” (1865), Peirce gives an example that illustrates how one and the same proposition might be … Continue reading →

Posted in Abduction, Analogy, Argument, Aristotle, C.S. Peirce, Constraint, Deduction, Determination, Diagrammatic Reasoning, Diagrams, Differential Logic, Functional Logic, Hypothesis, Indication, Induction, Inference, Information, Inquiry, Logic, Logic of Science, Mathematics, Peirce, Peirce List, Philosophy, Probable Reasoning, Propositional Calculus, Propositions, Reasoning, Retroduction, Semiotic Information, Semiotics, Sign Relations, Syllogism | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

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