Tag Archives: Visualization

Peirce’s 1903 Lowell Lectures • Preliminaries

Posted on November 1, 2017 by Jon Awbrey

Cf: Laws Of Form Discussion • JA Re: Peirce List Discussion • GF In September the Peirce List began a reading of Peirce’s 1903 Lowell Lectures (“Some Topics of Logic Bearing on Questions Now Vexed”).  I’ve had opportunities for only … Continue reading →

Posted in C.S. Peirce, Diagrammatic Reasoning, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Peirce List, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , | Leave a comment

Sign Relational Manifolds • Discussion 1

Posted on October 10, 2017 by Jon Awbrey

Semiotic Orbits, Manifolds, Arcs The arc of the semiotic universe is long but it bends towards universal harmony. Re: FB | Semiotics, Books, Links, News • What’s at the End of a Chain of Interpretants? Semiotic manifolds, like physical and … Continue reading →

Posted in C.S. Peirce, Cybernetics, Differential Geometry, Differential Logic, Geometry, Interoperability, Logic, Manifolds, Mathematics, Riemann, Semiotics, Sign Relational Manifolds, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , | Leave a comment

Minimal Negation Operators • 4

Posted on September 1, 2017 by Jon Awbrey

Note.  I’m including a more detailed definition of minimal negation operators in terms of conventional logical operations largely because readers of particular tastes have asked for it in the past.  But it can easily be skipped until one has a … Continue reading →

Posted in Amphecks, Animata, Boolean Functions, C.S. Peirce, Cactus Graphs, Differential Logic, Functional Logic, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Semiotics, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , , , , , , | 10 Comments

Minimal Negation Operators • 3

Posted on August 30, 2017 by Jon Awbrey

It will take a few more rounds of stage-setting before we are able to entertain concrete examples of applications but the following may indicate the direction of generalization embodied in minimal negation operators. To begin, let’s observe two ways of … Continue reading →

Posted in Amphecks, Animata, Boolean Functions, C.S. Peirce, Cactus Graphs, Differential Logic, Functional Logic, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Semiotics, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , , , , , , | 11 Comments

Minimal Negation Operators • 2

Posted on August 30, 2017 by Jon Awbrey

Re: Minimal Negation Operators • 1 The brief description of minimal negation operators given in the previous post is enough to convey the rule of their construction.  For future reference, a more formal definition is given below. Initial Definition The … Continue reading →

Posted in Amphecks, Animata, Boolean Functions, C.S. Peirce, Cactus Graphs, Differential Logic, Functional Logic, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Semiotics, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , , , , , , | 11 Comments

Minimal Negation Operators • 1

Posted on August 27, 2017 by Jon Awbrey

To accommodate moderate levels of complexity in the application of logical graphs to practical problems our Organon requires a class of organules called “minimal negation operators”.  I outlined the history of their early development from Peirce’s alpha graphs for propositional … Continue reading →

Posted in Amphecks, Animata, Boolean Functions, C.S. Peirce, Cactus Graphs, Differential Logic, Functional Logic, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Semiotics, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , , , , , , | 13 Comments

The Difference That Makes A Difference That Peirce Makes • 15

Posted on June 24, 2017 by Jon Awbrey

Re: Peirce List • JA • GF One could hardly dispute the importance of logical implication relations like   Their set-theoretic analogues are subset relations like which are almost the canonical way of expressing constraint, determination, information, and so on.  … Continue reading →

Posted in Animata, Automata, C.S. Peirce, Category Theory, Chomsky, Dewey, Formal Languages, Inquiry, Laws of Form, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Mathematics, Philosophy, Physics, Pragmatism, Quantum Mechanics, Relation Theory, Relativity, Science, Scientific Method, Semiotics, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

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