Monthly Archives: August 2021

Semiotics, Semiosis, Sign Relations • Discussion 14

Posted on August 31, 2021 by Jon Awbrey

Re: Animated Logical Graphs • 81 Re: Semiotics, Semiosis, Sign Relations • Discussion 13 Topics arising in various circles I traverse on the web are flashing me back to my earliest influences in the ways of inquiry driven systems.  Dick … Continue reading →

Posted in C.S. Peirce, Category Theory, Logic, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , | 5 Comments

Semiotics, Semiosis, Sign Relations • Discussion 13

Posted on August 30, 2021 by Jon Awbrey

Re: Category Theory • Peiyuan Zhu • Henry Story Dear Peiyuan, Henry … Way back during my first foundations + identity crisis I explored every alternative, deviant, non-standard version of logic and set theory I could scrape up — I remember … Continue reading →

Posted in C.S. Peirce, Category Theory, Logic, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , | 6 Comments

Animated Logical Graphs • 81

Posted on August 26, 2021 by Jon Awbrey

Re: R.J. Lipton and K.W. Regan • A Negative Comment On Negations Minsky and Papert’s Perceptrons was the work that nudged me over the line from gestalt psychology, psychophysics, relational biology, etc. and made me believe AI could fly.  I later … 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 , , , , , , , , , , , , , , , , , , , , , , , , , | 5 Comments

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 , , , , , , , | 5 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 →

Posted in C.S. Peirce, Category Theory, Logic, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , | 5 Comments

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 , , , , , , , | 5 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 , , , , , , , , , , , , , , , , | 7 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 , , , , , , , , , , , , , , , , | 7 Comments

Relations & Their Relatives • Discussion 18

Posted on August 17, 2021 by Jon Awbrey

Re: Relations & Their Relatives • Review 1 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 … 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 , , , , , , , , , , , , , , , , | 7 Comments

Relations & Their Relatives • Review 1

Posted on August 15, 2021 by Jon Awbrey

Peirce’s notation for elementary relatives was illustrated earlier by a dyadic relation from number theory, namely for being a divisor of Cf: Relations & Their Relatives • 3 Table 1 shows the first few ordered pairs of the relation on positive … 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