Author Archives: Jon Awbrey

Icon Index Symbol • 19

Posted on January 10, 2021 by Jon Awbrey

Questions Concerning Certain Faculties Claimed For Signs Re: Peirce List • Steven Skaggs SS: As far as visual semiotics is concerned, it is helpful to think of a “terrain” or map of a semantic mode territory in which of icon-index-symbol form … Continue reading →

Posted in Abduction, Algorithms, Animata, Artificial Intelligence, Automated Research Tools, C.S. Peirce, Cognition, Computation, Data Structures, Deduction, Icon Index Symbol, Induction, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Interpretive Frameworks, Knowledge Representation, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Objective Frameworks, Peirce, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , | 7 Comments

Icon Index Symbol • 18

Posted on January 8, 2021 by Jon Awbrey

Questions Concerning Certain Faculties Claimed For Signs Re: FB | Semiotics, Books, Links, News • Muntadher Almahdawi Another one of those recurring questions just came up in a Facebook group devoted to Semiotics and I thought it would be useful … Continue reading →

Posted in Abduction, Algorithms, Animata, Artificial Intelligence, Automated Research Tools, C.S. Peirce, Cognition, Computation, Data Structures, Deduction, Icon Index Symbol, Induction, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Interpretive Frameworks, Knowledge Representation, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Objective Frameworks, Peirce, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , | 7 Comments

Riffs and Rotes • Happy New Year 2021

Posted on January 3, 2021 by Jon Awbrey

Apart from their abstract beauty, Riffs and Rotes are structures I discovered while playing around with Gödel numberings of graphs and digraphs.  To my way of thinking they bear a deep connection to the mathematical infrastructure of logic.  Here are … Continue reading →

Posted in Algebra, Combinatorics, Graph Theory, Group Theory, Logic, Mathematics, Number Theory, Riffs and Rotes | Tagged , , , , , , , | Leave a comment

Sign Relations, Triadic Relations, Relation Theory • Discussion 4

Posted on December 31, 2020 by Jon Awbrey

Re: Previous Post Re: Cybernetics • Cliff Joslyn Dear Cliff, Many thanks for your thoughtful reply.  I copied a transcript to my blog to take up first thing next year.  Here’s hoping we all have a better one! Regards, Jon CJ: … Continue reading →

Posted in C.S. Peirce, Icon Index Symbol, Information, Inquiry Driven Systems, Logic, Logic of Relatives, Mathematics, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations, Triadicity, Visualization | Tagged , , , , , , , , , , , , , , , | 9 Comments

Sign Relations, Triadic Relations, Relation Theory • Discussion 3

Posted on December 29, 2020 by Jon Awbrey

Re: Peirce List • Helmut Raulien HR: As Peircean semiotics is a three-valued logic, I think it bears relevance for the discussion about multiple-valued logic. Dear Helmut, The distinction between “k-adic” (involving a span of k dimensions) and “k-tomic” (involving … Continue reading →

Posted in C.S. Peirce, Icon Index Symbol, Information, Inquiry Driven Systems, Logic, Logic of Relatives, Mathematics, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relations, Triadic Relations, Triadicity, Visualization | Tagged , , , , , , , , , , , , , , , | 10 Comments

Survey of Inquiry Driven Systems • 3

Posted on December 27, 2020 by Jon Awbrey

This is a Survey of blog and wiki posts on Inquiry Driven Systems, material I plan to refine toward a more compact and systematic treatment of the subject. An inquiry driven system is a system having among its state variables … Continue reading →

Posted in Abduction, Action, Adaptive Systems, Aristotle, Artificial Intelligence, Automated Research Tools, Change, Cognitive Science, Communication, Cybernetics, Deduction, Descartes, Dewey, Discovery, Doubt, Education, Educational Systems Design, Educational Technology, Fixation of Belief, Induction, Information, Information Theory, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Intelligent Systems, Interpretation, Invention, Kant, Knowledge, Learning, Learning Theory, Logic, Logic of Science, Mathematics, Mental Models, Peirce, Pragmatic Maxim, Pragmatism, Process Thinking, Scientific Inquiry, Semiotics, Sign Relations, Surveys, Teaching, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 18 Comments

Inquiry Driven Systems • Comment 6

Posted on December 25, 2020 by Jon Awbrey

Re: Peter Cameron • Publication : An Author’s View Dear Peter, It’s funny you should mention Tennyson’s poem in the context of an author’s view of publication as I once laid out a detailed interpretation of the poem as a … Continue reading →

Posted in Analogy, C.S. Peirce, Cybernetics, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Logic, Medium = Message, Metaphor, Peirce, Poetry, Quotation, Recursion, Reflection, Semiosis, Semiotics, Sign Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , | 8 Comments

Animated Logical Graphs • 52

Posted on December 21, 2020 by Jon Awbrey

Re: Richard J. Lipton • The Future Of Mathematics? • Is The End Near? Re: Peirce List • Jon Alan Schmidt Peirce’s explorations in logic and the theory of signs opened several directions of generalization from logics of complete information … 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 , , , , , , , , , , , , , , , , , , , , , , , , , | 8 Comments

Animated Logical Graphs • 51

Posted on December 20, 2020 by Jon Awbrey

Re: Richard J. Lipton • The Future Of Mathematics? • Is The End Near? Synchronicity being what it is, a long-running discussion on the Peirce List just gave me a handy bridge to a topic I’ve been meaning to take … 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 , , , , , , , , , , , , , , , , , , , , , , , , , | 8 Comments

Survey of Abduction, Deduction, Induction, Analogy, Inquiry • 2

Posted on December 16, 2020 by Jon Awbrey

This is a Survey of blog and wiki posts on three elementary forms of inference, as recognized by a logical tradition extending from Aristotle through Charles S. Peirce.  Particular attention is paid to the way these inferential rudiments combine to … Continue reading →

Posted in Abduction, Aristotle, C.S. Peirce, Deduction, Dewey, Discovery, Doubt, Fixation of Belief, Functional Logic, Icon Index Symbol, Induction, Inference, Information, Inquiry, Invention, Logic, Logic of Science, Mathematics, Morphism, Paradigmata, Paradigms, Pattern Recognition, Peirce, Philosophy, Pragmatic Maxim, Pragmatism, Scientific Inquiry, Scientific Method, Semiotics, Sign Relations, Surveys, Syllogism, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 11 Comments