Monthly Archives: August 2021

Semiotics, Semiosis, Sign Relations • Discussion 10

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 , , , , , , , | 2 Comments

Semiotics, Semiosis, Sign Relations • Discussion 9

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 , , , , , , , | 2 Comments

Semiotics, Semiosis, Sign Relations • Discussion 8

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 , , , , , , , | 3 Comments

Semiotics, Semiosis, Sign Relations • Discussion 7

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 , , , , , , , | 2 Comments

Semiotics, Semiosis, Sign Relations • Comment 3

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 , , , , , , , | 2 Comments

Semiotics, Semiosis, Sign Relations • Comment 2

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 , , , , , , , | 2 Comments

Semiotics, Semiosis, Sign Relations • Comment 1

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 , , , , , , , | 3 Comments

Relations & Their Relatives • Comment 3

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 , , , , , , , , , , , , , , , | 4 Comments

Relations & Their Relatives • Comment 2

Before I forget how I got myself into this particular briar patch — I mean the immediate occasion, not the long ago straying from the beaten path — it was largely in discussions with Henry Story where he speaks of … 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 , , , , , , , , , , , , , , , | 4 Comments

Descriptive and Normative • Discussion 1

Re: Logical Graphs • Discussion 3 Re: Laws of Form • John Mingers JM: I hesitate to enter into this debate but I would want to draw different distinctions to normative/descriptive. I would distinguish (following philosopher Roy Bhaskar) between the … Continue reading

Posted in Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Constraint Satisfaction Problems, Deduction, Diagrammatic Reasoning, Duality, Equational Inference, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Painted Cacti, Peirce, Proof Theory, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Theorem Proving, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment