Category Archives: Propositional Logic

Animated Logical Graphs • 2

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

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

“What we’ve got here is (a) failure to communicate” • 6

Excerpt from Warren S. McCulloch, “What Is a Number, that a Man May Know It, and a Man, that He May Know a Number?” (1960) Please remember that we are not now concerned with the physics and chemistry, the anatomy … Continue reading

Posted in Abduction, Amphecks, Aristotle, Automata, Boolean Algebra, Boolean Functions, C.S. Peirce, Combinatorics, Deduction, Duns Scotus, Induction, Leibniz, Logic, Logic of Relatives, Mathematics, Neural Models, Ockham, Peirce, Propositional Logic, Psychons, Relation Theory, Sources, Triadic Relations, Warren S. McCulloch, William James | Tagged , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment