Tag Archives: Mathematics

Survey of Abduction, Deduction, Induction, Analogy, Inquiry • 1

This is a Survey of blog and wiki posts on three elementary forms of inference, as recognized by a logical tradition that extends from Aristotle through C.S. Peirce.  Particular attention is paid to the ways these inferential rudiments combine to form … Continue reading

Posted in Abduction, Aristotle, C.S. Peirce, Deduction, Dewey, Discovery, Doubt, Fixation of Belief, Functional Logic, Icon Index Symbol, Induction, Inference, Information, Inquiry, Invention, Logic, Logic of Science, Mathematics, Morphism, Paradigmata, Paradigms, Pattern Recognition, Peirce, Philosophy, Pragmatic Maxim, Pragmatism, Scientific Inquiry, Scientific Method, Semiotics, Sign Relations, Surveys, Syllogism, Triadic Relations, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Animated Logical Graphs : 10

Re: Peirce List Discussion • Charles Pyle Let’s consider Peirce’s logical graphs at the alpha level, the abstract forms of which can be interpreted for propositional logic.  I say “can be interpreted” advisedly because the system of logical graphs itself … Continue reading

Posted in Abstraction, Amphecks, Animata, Automated Research Tools, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Complementarity, Computational Complexity, Constraint Satisfaction Problems, Diagrammatic Reasoning, Duality, Graph Theory, Interpretation, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Painted Cacti, Peirce, Proof Theory, Propositional Calculus, Propositional Equation Reasoning Systems, Semiotics, Spencer Brown, Theorem Proving, Visualization, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

The Difference That Makes A Difference That Peirce Makes : 3

It was fifty years ago this month that I first came North to Michigan, prospecting for a college to enter in the Fall.  I reached East Lansing in the middle of what would later be regaled as the Blizzard of … Continue reading

Posted in C.S. Peirce, Chemistry, Complementarity, Inquiry, Laws of Form, Logic, Mathematics, Peirce, Philosophy, Physics, Pragmatism, Quantum Mechanics, Relativity, Science, Scientific Method, Semiotics, Spencer Brown | Tagged , , , , , , , , , , , , , , , , | Leave a comment

Survey of Semiotic Theory Of Information • 2

This is a Survey of previous blog and wiki posts on the Semiotic Theory Of Information.  All my projects are exploratory in essence but this line of inquiry is more open-ended than most.  The question is: What is information and how … Continue reading

Posted in Abduction, C.S. Peirce, Communication, Control, Cybernetics, Deduction, Determination, Discovery, Doubt, Entropy, Epistemology, Fixation of Belief, Ignorance, Illusion, Induction, Information, Information = Comprehension × Extension, Information Theory, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Interpretation, Interpretive Frameworks, Invention, Knowledge, Learning Theory, Logic, Logic of Relatives, Logic of Science, Mathematics, Mental Models, Objective Frameworks, Peirce, Philosophy, Philosophy of Science, Pragmatic Information, Probable Reasoning, Process, Process Thinking, Relation Theory, Scientific Inquiry, Scientific Method, Semeiosis, Semiosis, Semiotic Information, Semiotics, Sign Relational Manifolds, Sign Relations, Surveys, Thirdness, Triadic Relations, Triadicity, Uncertainty | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

The Difference That Makes A Difference That Peirce Makes : 2

Re: A Flash From The Past ⚡⚡⚡ My mind keeps flashing back to the days when I first encountered Peirce’s thought.  It was so fresh, it spoke to me like no other thinker’s thought I knew, and it held so … Continue reading

Posted in C.S. Peirce, Inquiry, Logic, Mathematics, Peirce, Philosophy, Pragmatism, Science, Scientific Method, Semiotics | Tagged , , , , , , , , , | Leave a comment

Survey of Relation Theory • 3

In this Survey of previous blog and wiki posts on Relation Theory, relations are viewed from the perspective of combinatorics, in other words, as a topic in discrete mathematics, with special attention to finite structures and concrete set-theoretic constructions, many … Continue reading

Posted in Algebra, C.S. Peirce, Combinatorics, Discrete Mathematics, Duality, Dyadic Relations, Foundations of Mathematics, Logic, Logic of Relatives, Mathematics, Model Theory, Peirce, Proof Theory, Relation Theory, Semiotics, Set Theory, Sign Relational Manifolds, Sign Relations, Surveys, Teridentity, Thirdness, Triadic Relations, Triadicity, Type Theory, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Time, Topology, Differential Logic • 6

Re: Peirce List Discussion • ET • JFS • JA • JBD Let me see if I can get back in the saddle on this topic, the dormitive virtues of tryptophan and a few pounds added notwithstanding. I was addressing … Continue reading

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