Category Archives: Discrete Dynamics

Differential Logic • Discussion 12

Posted on July 21, 2021 by Jon Awbrey

Re: Category Theory • John Baez (1) (2) JB: One thing I’m interested in is functorially relating purely qualitative models to quantitative ones, or mixed quantitative-qualitative models where you have some numerical information of the sort you describe, but not … Continue reading →

Posted in Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Category Theory, Change, Cybernetics, Differential Analytic Turing Automata, Differential Calculus, Differential Logic, Discrete Dynamics, Equational Inference, Frankl Conjecture, Functional Logic, Gradient Descent, Graph Theory, Hologrammautomaton, Indicator Functions, Inquiry Driven Systems, Leibniz, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Surveys, Time, Topology, Visualization, Zeroth Order Logic | Tagged Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Category Theory, Change, Cybernetics, Differential Analytic Turing Automata, Differential Calculus, Differential Logic, Discrete Dynamics, Equational Inference, Frankl Conjecture, Functional Logic, Gradient Descent, Graph Theory, Hologrammautomaton, Indicator Functions, Inquiry Driven Systems, Leibniz, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Surveys, Time, Topology, Visualization, Zeroth Order Logic | 6 Comments

Differential Logic • Discussion 11

Posted on July 16, 2021 by Jon Awbrey

Re: Differential Logic • Discussion 9 Let’s look more closely at the “functor” from to and the connection it makes between real and boolean hierarchies of types. There’s a detailed discussion of this analogy in the article and section linked … Continue reading →

Differential Logic • Discussion 10

Posted on July 13, 2021 by Jon Awbrey

Re: Laws of Form • Lyle Anderson Let’s say we’re observing a system at discrete intervals of time and testing whether its state satisfies or falsifies a given predicate or proposition at each moment. Then and are two state variables … Continue reading →

Differential Logic • Discussion 9

Posted on July 12, 2021 by Jon Awbrey

Re: Laws of Form • Lyle Anderson LA: All I am asking is what is your definition of in relation to ‌. So far I have is what one has to do to get from to or from to ‌. … Continue reading →

Differential Logic • Discussion 8

Posted on July 11, 2021 by Jon Awbrey

Re: Laws of Form • Lyle Anderson A Reader inquired about the relationship between ordinary and differential boolean variables. I thought it might help to explain how I first came to think about differential logic as a means of describing … Continue reading →

Differential Logic • Comment 6

Posted on July 7, 2021 by Jon Awbrey

Cf: Category Theory • Jon Awbrey I opened a topic in the “logic” stream of “category theory.zulipchat” to discuss differential logic in a category theoretic environment and began by linking a few basic resources. The topic on logical graphs introduced … Continue reading →

Posted in Adaptive Systems, Amphecks, Belief Systems, Boole, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Differential Logic, Discrete Dynamics, Fixation of Belief, Gradient Descent, Graph Theory, Hill Climbing, Hologrammautomaton, Inquiry, Inquiry Driven Systems, Laws of Form, Leibniz, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Optimization, Painted Cacti, Peirce, Propositional Calculus, Spencer Brown | Tagged Adaptive Systems, Amphecks, Belief Systems, Boole, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Differential Logic, Discrete Dynamics, Fixation of Belief, Gradient Descent, Graph Theory, Hill Climbing, Hologrammautomaton, Inquiry, Inquiry Driven Systems, Laws of Form, Leibniz, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Optimization, Painted Cacti, Peirce, Propositional Calculus, Spencer Brown | Comments Off

Differential Logic • Discussion 7

Posted on June 20, 2021 by Jon Awbrey

Re: Differential Logic • 1 Re: FB | Pattern Languages for Systemic Transformation • Steve Kramer SK: Can differential logic be described using category theory? To what other logical or mathematical modalities does differential logic relate? Give an example. Partial … Continue reading →

Differential Logic • Discussion 6

Posted on June 19, 2021 by Jon Awbrey

Re: Differential Logic • 5 Re: Laws of Form • Lyle Anderson JA: The differential proposition may be read as saying “change or change or both”. And this can be recognized as just what you need to do if you … Continue reading →

Differential Logic • Discussion 5

Posted on June 17, 2021 by Jon Awbrey

Re: Differential Logic • Discussion 4 Re: Laws of Form • Lyle Anderson JA: The differential proposition is one we use to describe a change of state (or a state of change) from to or the reverse. LA: Does this … Continue reading →

Differential Logic • Discussion 4

Posted on June 16, 2021 by Jon Awbrey

Re: Differential Logic • 2 Re: Peirce List • Mauro Bertani MB: About Lobe Connective and Node Connective and their consequences, I have a question: You say that genus and species are evaluated by the proposition The following proposition would … Continue reading →

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