Category Archives: Sign Relations

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 →

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

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 →

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

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

Semiotics, Semiosis, Sign Relations • Discussion 7

Posted on August 13, 2021 by Jon Awbrey

Re: Category Theory • Morgan Rogers MR: Okay, this is hard to parse, but I’ve looked at it a few times now framed with discussion from a few different sources, and it seems that if we fix some sets of signs, … Continue reading →

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

Semiotics, Semiosis, Sign Relations • Comment 3

Posted on August 12, 2021 by Jon Awbrey

It helps me to compare sign relations with my other favorite class of triadic relations, namely, groups.  Applications of mathematical groups came up just recently in the Laws of Form discussion group, so it will save a little formatting time to adapt … Continue reading →

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

Semiotics, Semiosis, Sign Relations • Comment 2

Posted on August 10, 2021 by Jon Awbrey

Re: Semiotics, Semiosis, Sign Relations • Comment 1 Definitions tend to call on other terms in need of their own definitions, and so on till the process terminates at the level of primitive terms.  The main two concepts requiring supplementation in … Continue reading →

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

Semiotics, Semiosis, Sign Relations • Comment 1

Posted on August 9, 2021 by Jon Awbrey

I opened a topic on Sign Relations in the Logic stream of Category Theory Zulipchat to work on Peirce’s theory of triadic sign relations in a category-theoretic framework. I had been reading Peirce for a decade or more before I found … Continue reading →

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

Relations & Their Relatives • Comment 3

Posted on August 6, 2021 by Jon Awbrey

Here’s a couple of selections from Peirce’s 1870 Logic of Relatives bearing on the proper use of individuals in mathematics, and thus on the choice between nominal thinking and real thinking. 😸 Mathematical Demonstration & the Doctrine of Individuals • … 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 , , , , , , , , , , , , , , , | 9 Comments