Category Archives: Triadic Relations

Semiotics, Semiosis, Sign Relations • Discussion 12

Posted on August 25, 2021 by Jon Awbrey

Re: Peirce List • Robert Marty (quoted) RM: I persist in the idea that in your six combinations [O, S, I] only one is relevant for semiotics, the others being out of the field […] On the projections, there is also … Continue reading →

Posted in C.S. Peirce, Category Theory, Logic, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , | 9 Comments

Semiotics, Semiosis, Sign Relations • Comment 4

Posted on August 23, 2021 by Jon Awbrey

ah, what do mathematicians know of life’s exigency? proof is our rock and our soul necessity. we don’t just make abstractions, we are abstractions. it’s coffee and doughnuts all the way down … no one disturbs our vain diagrams till … Continue reading →

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Semiotics, Semiosis, Sign Relations • Discussion 11

Posted on August 22, 2021 by Jon Awbrey

Re: Peirce List • Robert Marty RM: You evoke many concepts with their relations, the explanation of which would take a considerable amount of time, to the point that you are reduced to answering yourself.  I want to question you … Continue reading →

Posted in C.S. Peirce, Category Theory, Logic, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , | 8 Comments

Relations & Their Relatives • Discussion 20

Posted on August 18, 2021 by Jon Awbrey

Re: Information = Comprehension × Extension Re: Category Theory • Morgan Rogers MR: Care to make any of this more precise? [The above] formula, for example? Yes, it will take some care to make it all more precise, and I’ve … Continue reading →

Posted in C.S. Peirce, Category Theory, Control, Cybernetics, Dyadic Relations, Information, Inquiry, Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations, Systems Theory, Triadic Relations | Tagged , , , , , , , , , , , , , , , , | 9 Comments

Relations & Their Relatives • Discussion 19

Posted on August 18, 2021 by Jon Awbrey

Re: Category Theory • Henry Story HS: Could one not say that Frege also had a three part relation?  I guess:  for singular terms their Sense and Reference. […] His argument could be explained very simply.  Imagine you start with … Continue reading →

Posted in C.S. Peirce, Category Theory, Control, Cybernetics, Dyadic Relations, Information, Inquiry, Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations, Systems Theory, Triadic Relations | Tagged , , , , , , , , , , , , , , , , | 9 Comments

Relations & Their Relatives • Discussion 18

Posted on August 17, 2021 by Jon Awbrey

Re: Relations & Their Relatives • 4 Re: Category Theory • Morgan Rogers MR: So a “sign process” would be a subset , where is a time domain? There are a couple of ways we usually see the concept of … Continue reading →

Posted in C.S. Peirce, Category Theory, Control, Cybernetics, Dyadic Relations, Information, Inquiry, Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations, Systems Theory, Triadic Relations | Tagged , , , , , , , , , , , , , , , , | 9 Comments

Relations & Their Relatives • 4

Posted on August 15, 2021 by Jon Awbrey

From Dyadic to Triadic to Sign Relations Peirce’s notation for elementary relatives was illustrated earlier by a dyadic relation from number theory, namely, the relation written for Cf: Relations & Their Relatives • 3 Table 1 shows the first few … 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 , , , , , , , , , , , , , , , | 8 Comments

Semiotics, Semiosis, Sign Relations • Discussion 10

Posted on August 14, 2021 by Jon Awbrey

Re: Semiotics, Semiosis, Sign Relations • Discussion 8 Re: Category Theory • Morgan Rogers MR:  Please clearly state at least one “distinctive quality of sign relations”. Sign relations are triadic relations. Can any triadic relation be a sign relation? I … Continue reading →

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Semiotics, Semiosis, Sign Relations • Discussion 9

Posted on August 14, 2021 by Jon Awbrey

Re: Category Theory • Morgan Rogers MR: Okay, I may have mixed up the meanings of “object” and “interpretant” in my plain language translations above?  Re determination, I read “B is determined by A” as meaning the conjunction of and … Continue reading →

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Semiotics, Semiosis, Sign Relations • Discussion 8

Posted on August 13, 2021 by Jon Awbrey

Re: Peirce List • Robert Marty RM: Thank you for reminding me of the definition of a group that I have taught for 45 years … I think you work with the permutations of symmetrical groups that do not fit … Continue reading →

Posted in C.S. Peirce, Category Theory, Logic, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , | 9 Comments