Tag Archives: Triadic Relations

Relations & Their Relatives • Comment 1

I opened a topic on Relation Theory in the Logic stream of Category Theory Zulipchat to discuss the logic of relative terms and the mathematics of relations as they develop from Peirce’s first breakthroughs (1865–1870).  As I have mentioned on … 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 , , , , , , , , , , , , , , , | Leave a comment

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

C.S. Peirce and Category Theory • 2

Re: Category Theory • Henry Story HS: This book Diagrammatic Immanence [preview] has a whole chapter on Peirce and Category Theory. There’s a two‑culture tension in the reception of Peirce these days.  Maybe it’s always been that way but it … 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

C.S. Peirce and Category Theory • 1

Cf: Category Theory • Jon Awbrey I will use this space to post what comes to mind by way of Peirce and Category Theory. Just to get the ball rolling (in good Sisyphean style) here’s my blog of mostly Peirce-related … 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

De In Esse Predication • Preliminaries

Questions have arisen in several places about classical logic and its vicissitudes, what used to be called “deviant logics” in some circles, all of which I recall being hot topics and much-mooted questions when I was a young wffer-snapper and Novice … Continue reading

Posted in C.S. Peirce, Comprehension, Connotation, Denotation, Extension, Indication, Information, Information = Comprehension × Extension, Intension, Intention, Intentionality, Logic, Peirce, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , , , , , , | 1 Comment