Tag Archives: Mathematics

Peirce’s 1870 “Logic Of Relatives” • Comment 2

Posted on October 22, 2019 by Jon Awbrey

In a recent post on a related topic I gave this assessment of our present situation: One of the more disconcerting developments, I might say “devolutions”, I’ve observed over the past 20 years has been the general slippage back to … Continue reading →

Posted in C.S. Peirce, Category Theory, Differential Logic, Duality, Dyadic Relations, Graph Theory, Group Theory, Logic, Logic of Relatives, Logical Graphs, Logical Matrices, Mathematics, Peirce, Peirce's Categories, Predicate Calculus, Propositional Calculus, Relation Theory, Semiotics, Sign Relations, Teridentity, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , | 6 Comments

Peirce’s 1870 “Logic of Relatives” • Comment 1

Posted on October 22, 2019 by Jon Awbrey

Peirce often stressed his Logic of Relatives as the key to unlocking many puzzles.  As I read him, it was Peirce’s drive to understand the Logic of Science that required the grounding of logic in the mathematical forms of triadic … Continue reading →

Posted in C.S. Peirce, Category Theory, Differential Logic, Duality, Dyadic Relations, Graph Theory, Group Theory, Logic, Logic of Relatives, Logical Graphs, Logical Matrices, Mathematics, Peirce, Peirce's Categories, Predicate Calculus, Propositional Calculus, Relation Theory, Semiotics, Sign Relations, Teridentity, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , | 6 Comments

The Difference That Makes A Difference That Peirce Makes : 31

Posted on October 21, 2019 by Jon Awbrey

One of the more disconcerting developments, I might say “devolutions”, I’ve observed over the last 20 years has been the general slippage back to absolutist and dyadic ways of thinking, all of it due to the stubborn pull of unchecked reductionism … Continue reading →

Posted in Analogy, C.S. Peirce, Communication, Descriptive Science, Fixation of Belief, Formal Systems, Information, Inquiry, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Mathematics, Normative Science, Paradigms, Peirce, Pragmatic Maxim, Pragmatism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

The Difference That Makes A Difference That Peirce Makes : 30

Posted on October 18, 2019 by Jon Awbrey

Re: Ontolog Forum • Mihai Nadin Re: Peirce List • Helmut Raulien I first encountered Peirce’s dimensions of generality and vagueness — two measures of determinacy on sign relations describing the extent to which objects are determined by signs and … Continue reading →

Posted in Analogy, C.S. Peirce, Communication, Descriptive Science, Fixation of Belief, Formal Systems, Information, Inquiry, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Mathematics, Normative Science, Paradigms, Peirce, Pragmatic Maxim, Pragmatism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

The Difference That Makes A Difference That Peirce Makes • 29

Posted on October 17, 2019 by Jon Awbrey

Re: Ontolog Forum • Jon Awbrey • John Sowa We are called to recall Peirce’s deeper meanings of ideas like Form (think Platonic Ideas and the way Aristotle compounded Form and Matter).  When we come to Sentiment, by any other … Continue reading →

Posted in Analogy, C.S. Peirce, Communication, Descriptive Science, Fixation of Belief, Formal Systems, Information, Inquiry, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Mathematics, Normative Science, Paradigms, Peirce, Pragmatic Maxim, Pragmatism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

The Difference That Makes A Difference That Peirce Makes : 28

Posted on October 15, 2019 by Jon Awbrey

Re: The Difference That Makes A Difference That Peirce Makes : 20 I had to go back and remind myself why I took up this thread again, but at least it supplies a lot of material for future study on … Continue reading →

Posted in Analogy, C.S. Peirce, Communication, Descriptive Science, Fixation of Belief, Formal Systems, Information, Inquiry, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Mathematics, Normative Science, Paradigms, Peirce, Pragmatic Maxim, Pragmatism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

The Difference That Makes A Difference That Peirce Makes • 27

Posted on October 14, 2019 by Jon Awbrey

Re: Peirce List • John Sowa It’s been my observation over many decades that people invoke the “ethics of terminology” mainly to inveigh against everyone’s innovations but their own, so these days I’ve shifted my attention to the “pragmatics of … Continue reading →

Posted in C.S. Peirce, Descriptive Science, Fixation of Belief, Formal Systems, Information, Inquiry, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Mathematics, Normative Science, Pragmatic Maxim, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , | Leave a comment

The Difference That Makes A Difference That Peirce Makes • 26

Posted on October 14, 2019 by Jon Awbrey

Re: Peirce List • John Sowa Questions about Peirce’s use of “formal” and “normative” in relation to logic and semiotic have arisen on the Peirce List once again, but I have to run off to another appointment, so for now I’ll … Continue reading →

Posted in C.S. Peirce, Descriptive Science, Fixation of Belief, Formal Systems, Information, Inquiry, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Mathematics, Normative Science, Pragmatic Maxim, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , | Leave a comment

The Difference That Makes A Difference That Peirce Makes • 25

Posted on October 13, 2019 by Jon Awbrey

I’ve been detecting something approaching a mini-zeitgeist lately.  Ideas and issues popping up in recent discussions and readings keep reminding me of themes I first encountered in Peirce’s early work, especially the Lectures on the Logic of Science (1865–1866) and … Continue reading →

Posted in C.S. Peirce, Fixation of Belief, Formal Systems, Information, Inquiry, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Mathematics, Paradigms, Pragmatic Maxim, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations, Triadicity, Visualization | Tagged , , , , , , , , , , , , , , , , , , , | Leave a comment

Peirce’s Categories • 12

Posted on October 12, 2019 by Jon Awbrey

Re: Peirce List • JFS • JBD Different minds are drawn to Peirce for different reasons and they tend to discover different stores of value there.  I was attracted to his work largely for his insights into logic, math, and … Continue reading →

Posted in Abstraction, Aristotle, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatic Maxim, Relation Theory, Semiotics, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | 7 Comments