Tag Archives: Logic of Relatives

Sign Relations, Triadic Relations, Relation Theory • Discussion 9

Posted on April 9, 2022 by Jon Awbrey

Once, there was nothing there, nothing moving on its own, just data and people shuffling it around.  Then something happened, and it … it knew itself. William Gibson • Count Zero (1) (2) Re: FB | Dan Everett • On … Continue reading →

Posted in C.S. Peirce, Icon Index Symbol, Information, Inquiry Driven Systems, Logic, Logic of Relatives, Mathematics, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations, Triadicity, Visualization | Tagged , , , , , , , , , , , , , , , | 4 Comments

Sign Relations, Triadic Relations, Relation Theory • Discussion 8

Posted on April 8, 2022 by Jon Awbrey

Re: FB | Dan Everett • On the Origin of Symbols and the Descent of Signs Continuing a discussion on the primal character of symbols. There are a few passages from Peirce going most quickly to the root of the … Continue reading →

Posted in C.S. Peirce, Icon Index Symbol, Information, Inquiry Driven Systems, Logic, Logic of Relatives, Mathematics, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations, Triadicity, Visualization | Tagged , , , , , , , , , , , , , , , | 5 Comments

Sign Relations, Triadic Relations, Relation Theory • Discussion 7

Posted on April 5, 2022 by Jon Awbrey

Re: FB | Dan Everett • On the Origin of Symbols and the Descent of Signs A conversation with Dan Everett on Facebook led me to explain the following point about symbols a little better, or at least in fewer … Continue reading →

Posted in C.S. Peirce, Icon Index Symbol, Information, Inquiry Driven Systems, Logic, Logic of Relatives, Mathematics, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations, Triadicity, Visualization | Tagged , , , , , , , , , , , , , , , | 6 Comments

Sign Relations, Triadic Relations, Relation Theory • Discussion 6

Posted on March 1, 2022 by Jon Awbrey

Re: FB | Charles S. Peirce Society • Alain Létourneau Alain Létourneau asks if I have any thoughts on Peirce’s Rhetoric.  I venture the following. Classically speaking, rhetoric (as distinguished from dialectic) treats forms of argument which “consider the audience” … Continue reading →

Posted in C.S. Peirce, Icon Index Symbol, Information, Inquiry Driven Systems, Logic, Logic of Relatives, Mathematics, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations, Triadicity, Visualization | Tagged , , , , , , , , , , , , , , , | 3 Comments

Peirce’s 1870 “Logic of Relatives” • Comment 3

Posted on February 3, 2022 by Jon Awbrey

In passing to more complex combinations of relative terms and the extensional relations they denote, as we began to do in Comments 10.6 and 10.7, I used words like composite and composition along with the usual composition sign to describe … 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 , , , , , , , , , , , , , , , , , , , , , | 2 Comments

Peirce’s 1870 “Logic of Relatives” • Discussion 5

Posted on January 8, 2022 by Jon Awbrey

Re: Conceptual Graphs • Peiyuan Zhu PZ: I’m studying imprecise probabilities which initially works as an extension in Boole’s Laws of Thoughts.  It seems like Boole was solving a set of algebraic equations for probabilities where some of the probabilities … 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 , , , , , , , , , , , , , , , , , , , , , | 2 Comments

Peirce’s 1870 “Logic of Relatives” • Discussion 4

Posted on December 15, 2021 by Jon Awbrey

Re: Peirce’s 1870 “Logic of Relatives” • Proto-Graphical Syntax Re: FB | Ancient Logic • Henning Engebretsen HE: What’s your point, it’s obviously too graphical, but perhaps you are driving at something else.  Explain? Dear Henning, My aim here is … 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 , , , , , , , , , , , , , , , , , , , , , | 2 Comments

Peirce’s 1870 “Logic of Relatives” • Discussion 3

Posted on December 10, 2021 by Jon Awbrey

All other sciences without exception depend upon the principles of mathematics;  and mathematics borrows nothing from them but hints. C.S. Peirce • “Logic of Number” A principal intention of this essay is to separate what are known as algebras of … 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 , , , , , , , , , , , , , , , , , , , , , | 3 Comments

Triadic Relations • Discussion 3

Posted on December 6, 2021 by Jon Awbrey

Re: Triadic Relations • (1) • (2) • (3) Re: Conceptual Graphs • Edwina Taborsky ET: A few comments on your outline of the Sign.  I think one has to be careful not to set up a Saussurian linguistic dyad.  … Continue reading →

Posted in C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Logical Graphs, Mathematics, Nominalism, Peirce, Pragmatism, Realism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , | 2 Comments

Survey of Relation Theory • 5

Posted on November 8, 2021 by Jon Awbrey

In this Survey of blog and wiki posts on Relation Theory, relations are viewed from the perspective of combinatorics, in other words, as a topic in discrete mathematics, with special attention to finite structures and concrete set-theoretic constructions, many of … Continue reading →

Posted in Algebra, Algebra of Logic, C.S. Peirce, Category Theory, Combinatorics, Discrete Mathematics, Duality, Dyadic Relations, Foundations of Mathematics, Graph Theory, Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiotics, Set Theory, Sign Relational Manifolds, Sign Relations, Surveys, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , , , , , , , , | Leave a comment