Category Archives: Information

Sign Relations, Triadic Relations, Relation Theory • 2

Posted on February 19, 2024 by Jon Awbrey

I always have trouble deciding whether to start with the genus and drive down to the species or begin with concrete examples and accompany Sisyphus up Mt. Abstraction. To start at the wide end of the funnel, the following article takes … 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 , , , , , , , , , , , , , , , | 4 Comments

Sign Relations, Triadic Relations, Relation Theory • 1

Posted on February 18, 2024 by Jon Awbrey

To understand how signs work in Peirce’s theory of triadic sign relations, or “semiotics”, we have to understand, in order of increasing generality, sign relations, triadic relations, and relations in general, each as conceived in Peirce’s logic of relative terms … 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 , , , , , , , , , , , , , , , | 4 Comments

Survey of Cybernetics • 4

Posted on January 25, 2024 by Jon Awbrey

Again, in a ship, if a man were at liberty to do what he chose, but were devoid of mind and excellence in navigation (αρετης κυβερνητικης), do you perceive what must happen to him and his fellow sailors? — Plato … Continue reading →

Posted in Abduction, C.S. Peirce, Communication, Control, Cybernetics, Deduction, Determination, Discovery, Doubt, Epistemology, Fixation of Belief, Induction, Information, Information = Comprehension × Extension, Information Theory, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Interpretation, Invention, Knowledge, Learning Theory, Logic, Logic of Relatives, Logic of Science, Mathematics, Peirce, Philosophy, Philosophy of Science, Pragmatic Information, Probable Reasoning, Process Thinking, Relation Theory, Scientific Inquiry, Scientific Method, Semeiosis, Semiosis, Semiotic Information, Semiotics, Sign Relational Manifolds, Sign Relations, Surveys, Triadic Relations, Uncertainty | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 13 Comments

Sign Relations, Triadic Relations, Relation Theory • Discussion 11

Posted on September 12, 2023 by Jon Awbrey

Re: Michael Shapiro • Redefining Arbitrariness in Language MS: The matter of arbitrariness in language is primarily associated with the work of the Swiss linguist, Ferdinand de Saussure (1857–1913), whose book of lectures, Cours de linguistique Générale, is widely recognized … 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 , , , , , , , , , , , , , , , | 5 Comments

Inquiry Into Inquiry • Discussion 9

Posted on August 19, 2023 by Jon Awbrey

Re: Pragmatic Maxim Re: Academia.edu • Milo Gardner MG: Do you agree that Peirce was limited to bivalent logic? Taking classical logic as a basis for reasoning is no more limiting than taking Dedekind cuts as a basis for constructing … Continue reading →

Posted in Automata, C.S. Peirce, Category Theory, Compositionality, Formal Languages, Inference, Information, Information Fusion, Initiative, Inquiry, Logic, Relation Theory, Semiotics, Triadic Relation Irreducibility, Visualization | Tagged , , , , , , , , , , , , , , | 5 Comments

Inquiry Into Inquiry • Discussion 8

Posted on August 18, 2023 by Jon Awbrey

Re: Inquiry Into Inquiry • Discussion 7 Re: Academia.edu • Milo Gardner MG: Peirce sensed that bivalent syntax was superceded by trivalent syntax, but never resolved that nagging question. The main thing is not a question of syntax but a … Continue reading →

Posted in Automata, C.S. Peirce, Category Theory, Compositionality, Formal Languages, Inference, Information, Information Fusion, Initiative, Inquiry, Logic, Relation Theory, Semiotics, Triadic Relation Irreducibility, Visualization | Tagged , , , , , , , , , , , , , , | 5 Comments

Inquiry Into Inquiry • Discussion 7

Posted on August 17, 2023 by Jon Awbrey

Dan Everett has prompted a number of discussions on Facebook recently which touch on core issues in Peirce’s thought — but threads ravel on and fray so quickly in that medium one rarely gets a chance to fill out the … Continue reading →

Posted in Automata, C.S. Peirce, Category Theory, Compositionality, Formal Languages, Inference, Information, Information Fusion, Initiative, Inquiry, Logic, Relation Theory, Semiotics, Triadic Relation Irreducibility, Visualization | Tagged , , , , , , , , , , , , , , | 5 Comments

Survey of Pragmatic Semiotic Information • 7

Posted on July 23, 2023 by Jon Awbrey

This is a Survey of blog and wiki posts on a theory of information which grows out of pragmatic semiotic ideas.  All my projects are exploratory in character but this line of inquiry is more open‑ended than most.  The question … Continue reading →

Posted in Abduction, C.S. Peirce, Communication, Control, Cybernetics, Deduction, Determination, Discovery, Doubt, Epistemology, Fixation of Belief, Induction, Information, Information = Comprehension × Extension, Information Theory, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Interpretation, Invention, Knowledge, Learning Theory, Logic, Logic of Relatives, Logic of Science, Mathematics, Peirce, Philosophy, Philosophy of Science, Pragmatic Information, Probable Reasoning, Process Thinking, Relation Theory, Scientific Inquiry, Scientific Method, Semeiosis, Semiosis, Semiotic Information, Semiotics, Sign Relational Manifolds, Sign Relations, Surveys, Triadic Relations, Uncertainty | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 3 Comments

Pragmatic Semiotic Information • Ψ

Posted on July 22, 2023 by Jon Awbrey

I remember it was back in ’76 when I began to notice a subtle shift of focus in the computer science journals I was reading, from discussing X to discussing Information About X, a transformation I noted mentally as whenever … Continue reading →

Posted in Abduction, C.S. Peirce, Comprehension, Deduction, Definition, Determination, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Peirce, Pragmatic Semiotic Information, Pragmatism, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 3 Comments

Functional Logic • Inquiry and Analogy • 21

Posted on July 19, 2023 by Jon Awbrey

Inquiry and Analogy • Generalized Umpire Operators To get a better handle on the space of higher order propositions and continue developing our functional approach to quantification theory, we’ll need a number of specialized tools.  To begin, we define a … Continue reading →

Posted in Abduction, Analogy, Argument, Aristotle, C.S. Peirce, Constraint, Deduction, Determination, Diagrammatic Reasoning, Diagrams, Differential Logic, Functional Logic, Hypothesis, Indication, Induction, Inference, Information, Inquiry, Logic, Logic of Science, Mathematics, Pragmatic Semiotic Information, Probable Reasoning, Propositional Calculus, Propositions, Reasoning, Retroduction, Semiotics, Sign Relations, Syllogism, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 4 Comments