Category Archives: Differential Logic

All Process, No Paradox • 8

Posted on March 16, 2021 by Jon Awbrey

These are the forms of time, which imitates eternity and revolves according to a law of number. Plato • Timaeus Re: Laws of Form • Seth • James Bowery (1) (2) (3) • Lyle Anderson Dear Seth, James, Lyle, Nothing … Continue reading →

Posted in Animata, Boolean Functions, C.S. Peirce, Cybernetics, Differential Logic, Discrete Dynamics, Laws of Form, Logic, Logical Graphs, Lou Kauffman, Mathematics, Paradox, Peirce, Plato, Process, Spencer Brown, Timaeus, Time | Tagged , , , , , , , , , , , , , , , , , | 7 Comments

Differential Propositional Calculus • Discussion 3

Posted on March 15, 2021 by Jon Awbrey

That mathematics, in common with other art forms, can lead us beyond ordinary existence, and can show us something of the structure in which all creation hangs together, is no new idea.  But mathematical texts generally begin the story somewhere in … Continue reading →

Posted in Amphecks, Boolean Functions, C.S. Peirce, Cactus Graphs, Category Theory, Change, Computational Complexity, Cybernetics, Differential Analytic Turing Automata, Differential Calculus, Differential Logic, Discrete Dynamics, Dynamical Systems, Equational Inference, Functional Logic, Gradient Descent, Graph Theory, Group Theory, Hologrammautomaton, Indicator Functions, Logic, Logical Graphs, Mathematical Models, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Time, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 11 Comments

All Process, No Paradox • 7

Posted on March 13, 2021 by Jon Awbrey

Unlike more superficial forms of expertise, mathematics is a way of saying less and less about more and more.  A mathematical text is thus not an end in itself, but a key to a world beyond the compass of ordinary … Continue reading →

Posted in Animata, C.S. Peirce, Change, Cybernetics, Differential Logic, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Paradox, Peirce, Process, Process Thinking, Spencer Brown, Systems Theory, Time, Tolkien | Tagged , , , , , , , , , , , , , , , , , | 8 Comments

Charles Sanders Peirce, George Spencer Brown, and Me • 15

Posted on February 5, 2021 by Jon Awbrey

Re: C.S. Peirce, Spencer Brown, and Me • 11 Re: Ontolog Forum • Michael DeBellis MDB: I’ve just started taking Peirce seriously in the last year or so and some of his more complex ideas still aren’t completely clear to … Continue reading →

Posted in Abstraction, Amphecks, Analogy, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Deduction, Differential Logic, Duality, Form, Graph Theory, Inquiry, Inquiry Driven Systems, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Peirce, Proof Theory, Propositional Calculus, Semiotics, Sign Relational Manifolds, Sign Relations, Spencer Brown, Theorem Proving, Time, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 6 Comments

Charles Sanders Peirce, George Spencer Brown, and Me • 14

Posted on January 31, 2021 by Jon Awbrey

Re: C.S. Peirce, Spencer Brown, and Me • 11 Re: Laws of Form • Dirk Baecker DB: Watzlawick’s request for a pragmatic calculus of communication up to now was never appropriately answered.  W. Barnett Pearce and Vernon E. Cronen (Communication, … Continue reading →

Posted in Abstraction, Amphecks, Analogy, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Deduction, Differential Logic, Duality, Form, Graph Theory, Inquiry, Inquiry Driven Systems, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Peirce, Proof Theory, Propositional Calculus, Semiotics, Sign Relational Manifolds, Sign Relations, Spencer Brown, Theorem Proving, Time, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 6 Comments

Charles Sanders Peirce, George Spencer Brown, and Me • 13

Posted on January 26, 2021 by Jon Awbrey

Re: Laws of Form • Dirk Baecker DB: I guess you know Fernando Zalamea’s work on Peirce.  He thinks that all of GSB’s important ideas are already in Peirce’s Existential Graphs. I think he may be right, but then there … Continue reading →

Posted in Abstraction, Amphecks, Analogy, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Deduction, Differential Logic, Duality, Form, Graph Theory, Inquiry, Inquiry Driven Systems, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Peirce, Proof Theory, Propositional Calculus, Semiotics, Sign Relational Manifolds, Sign Relations, Spencer Brown, Theorem Proving, Time, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 6 Comments

Charles Sanders Peirce, George Spencer Brown, and Me • 12

Posted on January 25, 2021 by Jon Awbrey

Re: Laws of Form • Dirk Baecker DB: Thanks to James Bowery for inviting me to this group.  Maybe it is not exactly what I am looking for, since I am interested in a sociological reading of LoF.  Which means … Continue reading →

Posted in Abstraction, Amphecks, Analogy, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Deduction, Differential Logic, Duality, Form, Graph Theory, Inquiry, Inquiry Driven Systems, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Peirce, Proof Theory, Propositional Calculus, Semiotics, Sign Relational Manifolds, Sign Relations, Spencer Brown, Theorem Proving, Time, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 6 Comments

Charles Sanders Peirce, George Spencer Brown, and Me • 11

Posted on January 18, 2021 by Jon Awbrey

There’s a new Laws of Form group in town.  James Bowery et al. have just revived the earlier group on a new platform and everything looks pretty handy so far.  There’s an honest-to-goodness 60s vibe about it for me since … Continue reading →

Posted in Abstraction, Amphecks, Analogy, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Deduction, Differential Logic, Duality, Form, Graph Theory, Inquiry, Inquiry Driven Systems, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Peirce, Proof Theory, Propositional Calculus, Semiotics, Sign Relational Manifolds, Sign Relations, Spencer Brown, Theorem Proving, Time, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 8 Comments

Theme One • A Program Of Inquiry 20

Posted on October 24, 2020 by Jon Awbrey

Re: Richard J. Lipton • Vaccines Are Not Developing Back in the day when I was making The Big Bucks (inflation-adjusted dollars) consulting on research statistics in bioscience-medical-nursing-public-health settings, I noticed a certain analogy between propositional calculus research (PCR0) and … Continue reading →

Posted in Algorithms, Animata, Artificial Intelligence, Boolean Functions, C.S. Peirce, Cactus Graphs, Cognition, Computation, Constraint Satisfaction Problems, Data Structures, Differential Logic, Equational Inference, Formal Languages, Graph Theory, Inquiry Driven Systems, Laws of Form, Learning Theory, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Semiotics, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , | 7 Comments

Theme One • A Program Of Inquiry 19

Posted on October 7, 2020 by Jon Awbrey

Re: Richard J. Lipton • Knowledge Is Good It’s the usual thing to say scientific inquiry involves a combination of deductive and inductive reasoning.  A slightly different, 3-phase model, going back to Aristotle and revived by Charles S. Peirce, analyzes … Continue reading →

Posted in Algorithms, Animata, Artificial Intelligence, Boolean Functions, C.S. Peirce, Cactus Graphs, Cognition, Computation, Constraint Satisfaction Problems, Data Structures, Differential Logic, Equational Inference, Formal Languages, Graph Theory, Inquiry Driven Systems, Laws of Form, Learning Theory, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Semiotics, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , | 6 Comments