Category Archives: Peirce’s Categories

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

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 , , , , , , , , , , , , , , , , , , , , , | 1 Comment

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

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 , , , , , , , , , , , , , , , , , , , , , | 1 Comment

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

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 , , , , , , , , , , , , , , , , , , , , , | 1 Comment

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

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 , , , , , , , , , , , , , , , , , , , , , | 2 Comments

C.S. Peirce and Category Theory • 8

Re: Category Theory • Henry Story Re: Laws of Form • Lyle Anderson LA: As I am trying to get “frame sync” on this discussion, as the satellite communications people say, I am taking clues from the introduction to the … 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 , , , , , , , , , , , , , , , | Leave a comment

C.S. Peirce and Category Theory • 7

Re: Category Theory • Henry Story HS: I’d be very interested in the comments of people who know about Peirce on the two chapters in the book Diagrammatic Immanence I linked to above on “3. Peirce” and “4. Diagrams of Variation : … 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 , , , , , , , , , , , , , , , | Leave a comment

C.S. Peirce and Category Theory • 6

Re: Category Theory • Henry Story HS: I’d love it of course if all of Peirce’s graphs could be mapped to CT.  That would help me integrate that work a lot faster.  Or alternatively, if one could work out exactly … 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 , , , , , , , , , , , , , , , | Leave a comment

C.S. Peirce and Category Theory • 5

Re: C.S. Peirce and Category Theory • 2 Re: Category Theory • Henry Story • Avi Craimer • Henry Story Dear Avi, Henry, Diagrams are a mixed bag, a complex and polymorphic species, in Peircean semiotics.  All diagrams in common use, … 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 , , , , , , , , , , , , , , , | Leave a comment

C.S. Peirce and Category Theory • 4

Re: C.S. Peirce and Category Theory • 3 Re: Category Theory • Kyle Rivelli Dear Kyle, My Inquiry Into Inquiry blog has a Survey page where I collect blog and wiki resources on all the longer-running topics I write 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 , , , , , , , , , , , , , , , | Leave a comment

C.S. Peirce and Category Theory • 3

Re: Category Theory • Kyle Rivelli KR: I really enjoyed the Diagrammatic Immanence book. Gangle has another book that goes into more depth with Peirce: Gianluca Caterina and Rocco Gangle (2016), Iconicity and Abduction. Thanks, Kyle, I’ve been looking at … 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 , , , , , , , , , , , , , , , | 1 Comment