Category Archives: Peirce

Theme One Program • Discussion 9

Posted on July 4, 2022 by Jon Awbrey

Re: Theme One Program • Exposition (1) (2) (3) (4) (5) Re: Theme One Program • Discussion (7) (8) Re: Ontolog Forum • Alex Shkotin (1) (2) (3) Dear Alex, I know the material on sign relations I’ve been posting … Continue reading →

Posted in Algorithms, Animata, Artificial Intelligence, Boolean Functions, C.S. Peirce, Cactus Graphs, Cognition, Computation, Constraint Satisfaction Problems, Data Structures, Differential Logic, Equational Inference, Formal Languages, Graph Theory, Inquiry Driven Systems, Laws of Form, Learning Theory, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Semiotics, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , | 5 Comments

Sign Relations • Dyadic Aspects

Posted on July 3, 2022 by Jon Awbrey

For an arbitrary triadic relation whether it happens to be a sign relation or not, there are six dyadic relations obtained by projecting on one of the planes of the -space   The six dyadic projections of a triadic relation … Continue reading →

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 3 Comments

Sign Relations • Examples

Posted on July 2, 2022 by Jon Awbrey

Soon after I made my third foray into grad school, this time in Systems Engineering, I was trying to explain sign relations to my advisor and he — being the very model of a modern systems engineer — asked me … Continue reading →

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 4 Comments

Sign Relations • Signs and Inquiry

Posted on June 30, 2022 by Jon Awbrey

There is a close relationship between the pragmatic theory of signs and the pragmatic theory of inquiry.  In fact, the correspondence between the two studies exhibits so many congruences and parallels it is often best to treat them as integral … Continue reading →

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 3 Comments

Sign Relations • Definition

Posted on June 30, 2022 by Jon Awbrey

One of Peirce’s clearest and most complete definitions of a sign is one he gives in the context of providing a definition for logic, and so it is informative to view it in that setting. Logic will here be defined … Continue reading →

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

Sign Relations • Anthesis

Posted on June 29, 2022 by Jon Awbrey

Thus, if a sunflower, in turning towards the sun, becomes by that very act fully capable, without further condition, of reproducing a sunflower which turns in precisely corresponding ways toward the sun, and of doing so with the same reproductive … Continue reading →

Posted in C.S. Peirce, Logic, Mathematics, Peirce, Relation Theory, Semiosis, Semiotics, Sign Relations | Tagged , , , , , , , | 3 Comments

Theme One Program • Discussion 8

Posted on June 27, 2022 by Jon Awbrey

Re: Theme One Program • Exposition (1) (2) (3) (4) Re: Theme One Program • Discussion (7) Re: Ontolog Forum • Alex Shkotin (1) (2) Re: Logical Graphs • Animated Proofs AS: The animation is mesmerizing:  I would watch and … Continue reading →

Posted in Algorithms, Animata, Artificial Intelligence, Boolean Functions, C.S. Peirce, Cactus Graphs, Cognition, Computation, Constraint Satisfaction Problems, Data Structures, Differential Logic, Equational Inference, Formal Languages, Graph Theory, Inquiry Driven Systems, Laws of Form, Learning Theory, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Semiotics, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , | 6 Comments

Theme One Program • Discussion 7

Posted on June 24, 2022 by Jon Awbrey

Re: Theme One Program • Exposition (1) (2) (3) (4) Re: Ontolog Forum • Alex Shkotin AS: As we both like digraphs and looking at your way of rendering, let me share my lazy way of using Graphviz on one … Continue reading →

Posted in Algorithms, Animata, Artificial Intelligence, Boolean Functions, C.S. Peirce, Cactus Graphs, Cognition, Computation, Constraint Satisfaction Problems, Data Structures, Differential Logic, Equational Inference, Formal Languages, Graph Theory, Inquiry Driven Systems, Laws of Form, Learning Theory, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Semiotics, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , | 7 Comments

Theme One Program • Exposition 5

Posted on June 23, 2022 by Jon Awbrey

Lexical, Literal, Logical Theme One puts cactus graphs to work in three distinct but related ways, called lexical, literal, and logical applications.  The three modes of operation employ three distinct but overlapping subsets of the broader species of cacti.  Accordingly we … Continue reading →

Posted in Algorithms, Animata, Artificial Intelligence, Boolean Functions, C.S. Peirce, Cactus Graphs, Cognition, Computation, Constraint Satisfaction Problems, Data Structures, Differential Logic, Equational Inference, Formal Languages, Graph Theory, Inquiry Driven Systems, Laws of Form, Learning Theory, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Semiotics, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , | 6 Comments

Theme One Program • Exposition 4

Posted on June 20, 2022 by Jon Awbrey

Parsing Logical Graphs It is possible to write a program that parses cactus expressions into reasonable facsimiles of cactus graphs as pointer structures in computer memory, making edges correspond to addresses and nodes correspond to records.  I did just that … Continue reading →

Posted in Algorithms, Animata, Artificial Intelligence, Boolean Functions, C.S. Peirce, Cactus Graphs, Cognition, Computation, Constraint Satisfaction Problems, Data Structures, Differential Logic, Equational Inference, Formal Languages, Graph Theory, Inquiry Driven Systems, Laws of Form, Learning Theory, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Semiotics, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , | 7 Comments