Category Archives: Topology

Time, Topology, Differential Logic • 1

Posted on November 11, 2016 by Jon Awbrey

The clock indicates the moment . . . . but what does eternity indicate? Walt Whitman • Leaves of Grass Re: Peirce List • ET • JFS • JA Trying to understand inquiry in particular and semiosis in general as … Continue reading →

Posted in C.S. Peirce, Differential Logic, Dynamical Systems, Inquiry, Inquiry Driven Systems, Logic, Logical Graphs, Mathematics, Propositional Calculus, Semiotics, Systems Theory, Time, Topology | Tagged , , , , , , , , , , , , | 9 Comments

Survey of Differential Logic • 1

Posted on May 11, 2015 by Jon Awbrey

This is a Survey of blog and wiki posts on Differential Logic, material I plan to develop toward a more compact and systematic account. Elements Differential Logic • Introduction Differential Propositional Calculus • Part 1 • Part 2 Differential Logic … Continue reading →

Posted in Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Category Theory, Change, Cybernetics, Differential Analytic Turing Automata, Differential Calculus, Differential Logic, Discrete Dynamics, Equational Inference, Frankl Conjecture, Functional Logic, Gradient Descent, Graph Theory, Hologrammautomaton, Indicator Functions, Inquiry Driven Systems, Leibniz, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Surveys, Time, Topology, Visualization, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Animated Logical Graphs • 3

Posted on January 26, 2015 by Jon Awbrey

Re: Peirce List • Helmut Raulien I have a little more leisure now to start climbing back into the saddle, so let me see where we left off … Try looking into the article I linked before: Logical Graphs Or … Continue reading →

Posted in Abstraction, Amphecks, Analogy, Animata, Automated Research Tools, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Deduction, Differential Logic, Duality, Form, Graph Theory, Iconicity, Laws of Form, Leibniz, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Peirce's Law, Praeclarum Theorema, Proof Theory, Propositional Calculus, Propositional Logic, Semiotics, Spencer Brown, Theorem Proving, Topology, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 12 Comments

Animated Logical Graphs • 2

Posted on January 14, 2015 by Jon Awbrey

Re: Peirce List • Jim Willgoose It’s almost 50 years now since I first encountered the volumes of Peirce’s Collected Papers in the math library at Michigan State, and shortly afterwards a friend called my attention to the entry for … Continue reading →

Posted in Abstraction, Amphecks, Analogy, Animata, Automated Research Tools, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Deduction, Differential Logic, Duality, Form, Graph Theory, Iconicity, Laws of Form, Leibniz, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Peirce's Law, Praeclarum Theorema, Proof Theory, Propositional Calculus, Propositional Logic, Semiotics, Spencer Brown, Theorem Proving, Topology, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 12 Comments

Animated Logical Graphs • 1

Posted on January 8, 2015 by Jon Awbrey

For Your Musement … Here are some animations I made up to illustrate several different styles of proof in an extended topological variant of Peirce’s Alpha Graphs for propositional logic. Proof Animations Double Negation Peirce’s Law Praeclarum Theorema Two‑Thirds Majority … Continue reading →

Posted in Abstraction, Amphecks, Analogy, Animata, Automated Research Tools, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Deduction, Differential Logic, Duality, Form, Graph Theory, Iconicity, Laws of Form, Leibniz, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Peirce's Law, Praeclarum Theorema, Proof Theory, Propositional Calculus, Propositional Logic, Semiotics, Spencer Brown, Theorem Proving, Topology, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 12 Comments

Continuity, Generality, Infinity, Law, Synechism • 1

Posted on November 9, 2014 by Jon Awbrey

The concept of continuity Peirce highlights in his synechism is a logical principle somewhat more general than the concepts of either mathematical or physical continua. Peirce’s concept of continuity is better understood as a concept of lawful regularity or parametric … Continue reading →

Posted in Abduction, Aristotle, C.S. Peirce, Cardinality, Constraint, Continua, Continuity, Discreteness, Discretion, Epistemology, Generality, Infinity, Knowledge, Logic, Logic of Science, Mathematical Models, Mathematics, Natural Law, Physics, Quanta, Quantum Mechanics, Synechism, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , | 10 Comments

The Lambda Point • 1

Posted on August 1, 2013 by Jon Awbrey

A note on the title.  From long ago discussions with Harvey Davis, one of my math professors at Michigan State.  I remember telling him of my interest in the place where algebra, geometry, and logic meet, and he quipped, “Ah … Continue reading →

Posted in Algebra, Amphecks, Boolean Algebra, C.S. Peirce, Cactus Graphs, Geometry, Graph Theory, Lambda Point, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Peirce, Propositional Calculus, Topology | Tagged , , , , , , , , , , , , , , | Leave a comment