Tag Archives: Analogy

Icon, Likeness, Likely Story, Likelihood, Probability • 2

Posted on May 19, 2026 by Jon Awbrey

Re: Peirce List • Phyllis Chiasson I’m still a bit fuzzy on how Aristotle’s account relates to Peirce’s usage, though I’m pretty sure Peirce must have taken Aristotle’s usage into account, but it does seem that Aristotle drew some sort … Continue reading →

Posted in Analogy, Aristotle, C.S. Peirce, Icon Index Symbol, Induction, Inquiry, Likelihood, Likely Story, Likeness, Logic, Mathematics, Probability, Probable Reasoning, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , | Leave a comment

Icon, Likeness, Likely Story, Likelihood, Probability • 1

Posted on May 17, 2026 by Jon Awbrey

Re: Peirce List • Benjamin Udell • Michael Shapiro Here’s a likely locus classicus for “icon” in its logical sense — A probability (εικος) is not the same as a sign (σηµειον).  The former is a generally accepted premiss;  for … Continue reading →

Posted in Analogy, Aristotle, C.S. Peirce, Icon Index Symbol, Induction, Inquiry, Likelihood, Likely Story, Likeness, Logic, Mathematics, Probability, Probable Reasoning, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , | Leave a comment

Charles Sanders Peirce, George Spencer Brown, and Me • 20

Posted on September 16, 2025 by Jon Awbrey

Re: Laws of Form • James Bowery JB: I’m interested in those who have approached the notion of self‑duality from the meta‑perspective of switching perspectives between Directed Cyclic Graphs of NiNAND and NiNOR gates (Ni for N‑Inputs à la boolean … Continue reading →

Posted in Abstraction, Amphecks, Analogy, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Deduction, Differential Analytic Turing Automata, Differential Logic, Duality, Form, Graph Theory, Inquiry, Inquiry Driven Systems, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Proof Theory, Propositional Calculus, Semiotics, Sign Relational Manifolds, Sign Relations, Spencer Brown, Theorem Proving, Time, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Charles Sanders Peirce, George Spencer Brown, and Me • 19

Posted on September 10, 2025 by Jon Awbrey

Re: Laws of Form • James Bowery JB: I’m interested in those who have approached the notion of self‑duality from the meta‑perspective of switching perspectives between Directed Cyclic Graphs of NiNAND and NiNOR gates (Ni for N‑Inputs à la boolean … Continue reading →

Posted in Abstraction, Amphecks, Analogy, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Deduction, Differential Analytic Turing Automata, Differential Logic, Duality, Form, Graph Theory, Inquiry, Inquiry Driven Systems, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Proof Theory, Propositional Calculus, Semiotics, Sign Relational Manifolds, Sign Relations, Spencer Brown, Theorem Proving, Time, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Charles Sanders Peirce, George Spencer Brown, and Me • 18

Posted on September 7, 2025 by Jon Awbrey

Re: Laws of Form • James Bowery JB: I’m interested in those who have approached the notion of self‑duality from the meta‑perspective of switching perspectives between Directed Cyclic Graphs of NiNAND and NiNOR gates (Ni for N‑Inputs à la boolean … Continue reading →

Posted in Abstraction, Amphecks, Analogy, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Deduction, Differential Analytic Turing Automata, Differential Logic, Duality, Form, Graph Theory, Inquiry, Inquiry Driven Systems, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Proof Theory, Propositional Calculus, Semiotics, Sign Relational Manifolds, Sign Relations, Spencer Brown, Theorem Proving, Time, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Charles Sanders Peirce, George Spencer Brown, and Me • 17

Posted on August 22, 2025 by Jon Awbrey

Re: Laws of Form • James Bowery JB: I’m interested in those who have approached the notion of self‑duality from the meta‑perspective of switching perspectives between Directed Cyclic Graphs of NiNAND and NiNOR gates (Ni for N‑Inputs à la boolean … Continue reading →

Posted in Abstraction, Amphecks, Analogy, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Deduction, Differential Analytic Turing Automata, Differential Logic, Duality, Form, Graph Theory, Inquiry, Inquiry Driven Systems, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Proof Theory, Propositional Calculus, Semiotics, Sign Relational Manifolds, Sign Relations, Spencer Brown, Theorem Proving, Time, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Survey of Precursors Of Category Theory • 6

Posted on May 5, 2025 by Jon Awbrey

A few years ago I began a sketch on the “Precursors of Category Theory”, tracing the continuities of the category concept from Aristotle, to Kant and Peirce, through Hilbert and Ackermann, to contemporary mathematical practice.  A Survey of resources on … Continue reading →

Posted in Abstraction, Ackermann, Analogy, Aristotle, C.S. Peirce, Carnap, Category Theory, Foundations of Mathematics, Hilbert, Hypostatic Abstraction, Kant, Logic, Mathematics, Propositions As Types Analogy, Relation Theory, Saunders Mac Lane, Semiotics, Type Theory, Universals | Tagged , , , , , , , , , , , , , , , , , , | 4 Comments

Survey of Inquiry Driven Systems • 7

Posted on May 4, 2025 by Jon Awbrey

This is a Survey of work in progress 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 some … Continue reading →

Posted in Abduction, Adaptive Systems, Analogy, Animata, Artificial Intelligence, Automated Research Tools, C.S. Peirce, Cognitive Science, Cybernetics, Deduction, Educational Systems Design, Educational Technology, Fixation of Belief, Induction, Information Theory, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Intelligent Systems, Interpretation, Logic, Logic of Science, Mathematics, Mental Models, Pragmatic Maxim, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 10 Comments

Survey of Precursors Of Category Theory • 5

Posted on May 24, 2024 by Jon Awbrey

A few years ago I began a sketch on the “Precursors of Category Theory”, tracing the continuities of the category concept from Aristotle, to Kant and Peirce, through Hilbert and Ackermann, to contemporary mathematical practice.  A Survey of resources on … Continue reading →

Posted in Abstraction, Ackermann, Analogy, Aristotle, C.S. Peirce, Carnap, Category Theory, Diagrams, Foundations of Mathematics, Functional Logic, Hilbert, History of Mathematics, Hypostatic Abstraction, Kant, Logic, Mathematics, Peirce, Propositions As Types Analogy, Relation Theory, Saunders Mac Lane, Semiotics, Type Theory, Universals | Tagged , , , , , , , , , , , , , , , , , , , , , , | 10 Comments

Survey of Precursors Of Category Theory • 4

Posted on August 1, 2023 by Jon Awbrey

A few years ago I began a sketch on the “Precursors of Category Theory”, tracing the continuities of the category concept from Aristotle, to Kant and Peirce, through Hilbert and Ackermann, to contemporary mathematical practice.  A Survey of resources on … Continue reading →

Posted in Abstraction, Ackermann, Analogy, Aristotle, C.S. Peirce, Carnap, Category Theory, Diagrams, Foundations of Mathematics, Functional Logic, Hilbert, History of Mathematics, Hypostatic Abstraction, Kant, Logic, Mathematics, Peirce, Propositions As Types Analogy, Relation Theory, Saunders Mac Lane, Semiotics, Type Theory, Universals | Tagged , , , , , , , , , , , , , , , , , , , , , , | 1 Comment