Tag Archives: Mathematics

The Difference That Makes A Difference That Peirce Makes • 9

Posted on June 13, 2017 by Jon Awbrey

Re: Peirce List | Jay Zeman • JFS • GF • GF • GF • GR • JA • JA • JA • GF • JA • GR • JFS Re: Peirce List | Rheme and Reason • JA • … Continue reading →

Posted in C.S. Peirce, Complementarity, Inquiry, Laws of Form, Logic, Logic of Relatives, Logical Graphs, Mathematics, Pragmatism, Relation Theory, Scientific Method, Semiosis, Semiotics, Sign Relations, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , , , , | 1 Comment

The Present Is Big With The Future • Comment 2

Posted on June 9, 2017 by Jon Awbrey

My interest in this theme of Leibniz goes back to a time when I began exploring generalized measures of determination and qualitative analogues of differential calculus — doctrines of absolute determinism or predestination had long ago loosened their hold on … Continue reading →

Posted in C.S. Peirce, Determination, Differential Calculus, Differential Logic, Hologrammautomaton, Infinitesimals, Leibniz, Logic, Logical Graphs, Mathematics, Peirce, Preëstablished Harmony, Propositional Calculus, Visualization | Tagged , , , , , , , , , , , , , | 8 Comments

The Present Is Big With The Future • Comment 1

Posted on June 2, 2017 by Jon Awbrey

Re: Peirce List • John Sowa Re: Peirce List • Jon Awbrey Here is a passage from Leibniz where he half decrypts half encrypts the big idea sparking his discovery of the differential calculus. The Present Is Big With The … Continue reading →

Posted in C.S. Peirce, Determination, Differential Calculus, Differential Logic, Hologrammautomaton, Infinitesimals, Leibniz, Logic, Logical Graphs, Mathematics, Peirce, Preëstablished Harmony, Propositional Calculus, Visualization | Tagged , , , , , , , , , , , , , | 10 Comments

The Difference That Makes A Difference That Peirce Makes • 8

Posted on May 31, 2017 by Jon Awbrey

Re: Peirce List • James Albrecht Among the subtle shifts in scientific thinking that occurred in the mid 1800s, George Boole gave us a functional interpretation of logic, associating every propositional expression — at the most basic level of logic we now … Continue reading →

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

The Difference That Makes A Difference That Peirce Makes • 7

Posted on May 31, 2017 by Jon Awbrey

Re: Peirce List • GF • GF • GR In our “Inquiry as Action : Risk of Inquiry” paper, originally presented at a conference on “Hermeneutics and the Human Sciences”, Susan and I sought to trace the interminglings of signs … Continue reading →

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

The Difference That Makes A Difference That Peirce Makes • 6

Posted on May 30, 2017 by Jon Awbrey

Re: Peirce List • Gary Fuhrman The uses to which Susan Awbrey and I turned Aristotle’s passage from De Interp can be found in our paper from 1992/1995. Awbrey, J.L., and Awbrey, S.M. (1992), “Interpretation as Action : The Risk of … Continue reading →

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

The Difference That Makes A Difference That Peirce Makes • 5

Posted on May 17, 2017 by Jon Awbrey

Re: Peirce List • Gary Richmond When I think back to the conceptual changes my first university physics courses put me through, a single unifying theme emerges.  Relativity Theory and Quantum Mechanics had a way of making the observer an active … Continue reading →

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

The Difference That Makes A Difference That Peirce Makes • 4

Posted on May 14, 2017 by Jon Awbrey

Re: Peirce List • Mike Bergman The mathematical perspectives and theories that made modern physics possible, perhaps even inevitable, were developed by many mathematicians, both abstract and applied, all throughout the 19th Century.  There was a definite sea change in … Continue reading →

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

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

Posted on March 8, 2017 by Jon Awbrey

This is a Survey of blog and wiki posts on three elementary forms of inference, as recognized by a logical tradition extending from Aristotle through Charles S. Peirce.  Particular attention is paid to the way these inferential rudiments combine to … 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, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 5 Comments

Animated Logical Graphs • 10

Posted on March 3, 2017 by Jon Awbrey

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 Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Constraint Satisfaction Problems, Deduction, Diagrammatic Reasoning, Duality, Equational Inference, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Painted Cacti, Peirce, Proof Theory, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Theorem Proving, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , | 11 Comments