Monthly Archives: January 2015

Peirce’s 1880 “Algebra Of Logic” Chapter 3 • Preliminaries

Recurring questions about relations, especially triadic relations and sign relations, prompt a return to Peirce’s core papers on the logic of relative terms and the mathematics of relations in general.  I began a study of his 1870 “Logic of Relatives” … Continue reading

Posted in Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , | 3 Comments

Animated Logical Graphs : 5

Re: Peirce List Discussion • Howard Pattee A computational problem is defined as a set of problem instances with specified properties.  An algorithm solves a problem if it computes the correct answer to every problem instance in that set. The … Continue reading

Posted in Amphecks, Analogy, Animata, Automated Research Tools, Boolean Algebra, Boolean Functions, Cactus Graphs, Constraint Satisfaction Problems, Deduction, Diagrammatic Reasoning, Duality, Form, Graph Theory, Iconicity, Laws of Form, Leibniz, Logic, Logical Graphs, Mathematics, Model Theory, Peirce, Peirce's Law, Praeclarum Theorema, Pragmatism, Proof Theory, Propositional Calculus, Semiotics, Spencer Brown, Theorem Proving, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Animated Logical Graphs : 4

Re: Peirce List Discussion • Helmut Raulien Although it’s fair to say that most of my university coursework leaned to the theoretical side of things, I did cobble together a respectable enough background in computing, statistics, and industrial-organizational styles of … Continue reading

Posted in Amphecks, Analogy, Animata, Automated Research Tools, Boolean Algebra, Boolean Functions, Cactus Graphs, Constraint Satisfaction Problems, Deduction, Diagrammatic Reasoning, Duality, Form, Graph Theory, Iconicity, Laws of Form, Leibniz, Logic, Logical Graphs, Mathematics, Model Theory, Peirce, Peirce's Law, Praeclarum Theorema, Pragmatism, Proof Theory, Propositional Calculus, Semiotics, Spencer Brown, Theorem Proving, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Animated Logical Graphs : 3

Re: Peirce List Discussion • Helmut Raulien I have a little more leisure now to begin the process of climbing back into the saddle, so let me see where we left off … Try looking into the article I linked … Continue reading

Posted in Amphecks, Analogy, Animata, Automated Research Tools, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Deduction, Diagrammatic Reasoning, Duality, Form, Graph Theory, Iconicity, Laws of Form, Leibniz, Logic, Logical Graphs, Mathematics, Model Theory, Peirce, Peirce's Law, Praeclarum Theorema, Pragmatism, Proof Theory, Propositional Calculus, Semiotics, Spencer Brown, Theorem Proving, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Pragmatism About Theoretical Entities : 1

By theoretical entities I mean things like classes, properties, qualities, sets, situations, or states of affairs, in general, the putative denotations of theoretical concepts, formulas, sentences, terms, or treatises, in brief, the ostensible objects of signs. A conventional statement of … Continue reading

Posted in Essentialism, Logic, Metaphysics, Method, Nominalism, Ockham, Ockham's Razor, Peirce, Philosophy, Philosophy of Science, Pragmatic Maxim, Pragmatism | Tagged , , , , , , , , , , , | Leave a comment

Animated Logical Graphs : 2

Re: Peirce List Discussion • 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 … Continue reading

Posted in Abstraction, Amphecks, Analogy, Animata, Automated Research Tools, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Deduction, Diagrammatic Reasoning, Duality, Form, Graph Theory, Iconicity, Laws of Form, Leibniz, Logic, Logical Graphs, Mathematics, Model Theory, Peirce, Peirce's Law, Praeclarum Theorema, Pragmatism, Proof Theory, Propositional Calculus, Semiotics, Spencer Brown, Theorem Proving, Visualization, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

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 See the following article for a full … Continue reading

Posted in Abstraction, Amphecks, Analogy, Animata, Automated Research Tools, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Deduction, Diagrammatic Reasoning, Duality, Form, Graph Theory, Iconicity, Laws of Form, Leibniz, Logic, Logical Graphs, Mathematics, Model Theory, Peirce, Peirce's Law, Praeclarum Theorema, Pragmatism, Proof Theory, Propositional Calculus, Semiotics, Spencer Brown, Theorem Proving, Visualization, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment