Category Archives: Differential Calculus

Differential Logic, Dynamic Systems, Tangent Functors • Discussion 1

Posted on October 1, 2018 by Jon Awbrey

Re: Cybernetics • Stuart Umpleby Susan and I just returned from our annual dramatic immersion in Stratford Ontario and the last play we saw was a playfully dramatic rendition of Milton’s Paradise Lost. That and the spectacular immorality play currently … Continue reading →

Posted in Amphecks, Boolean Functions, C.S. Peirce, Cactus Graphs, Category Theory, Cybernetics, Differential Analytic Turing Automata, Differential Calculus, Differential Logic, Discrete Dynamical Systems, Dynamical Systems, Graph Theory, Hill Climbing, Hologrammautomaton, Information Theory, Inquiry Driven Systems, Intelligent Systems, Knowledge Representation, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Systems, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 8 Comments

Differential Logic, Dynamic Systems, Tangent Functors • 1

Posted on September 5, 2018 by Jon Awbrey

People interested in category theory as applied to systems may wish to check out the following article, reporting work I carried out while engaged in a systems engineering program at Oakland University. The problem addressed is a longstanding one, that … Continue reading →

Posted in Amphecks, Boolean Functions, C.S. Peirce, Cactus Graphs, Category Theory, Cybernetics, Differential Analytic Turing Automata, Differential Calculus, Differential Logic, Discrete Dynamical Systems, Dynamical Systems, Graph Theory, Hill Climbing, Hologrammautomaton, Information Theory, Inquiry Driven Systems, Intelligent Systems, Knowledge Representation, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Systems, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 14 Comments

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

Survey of Differential Logic • 1

Posted on May 11, 2015 by Jon Awbrey

This is a Survey of blog and wiki posts on Differential Logic, material I plan to develop toward a more compact and systematic account. Elements Differential Logic • Introduction Differential Propositional Calculus • Part 1 • Part 2 Differential Logic … 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 , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

The Present Is Big With The Future

Posted on April 1, 2013 by Jon Awbrey

Now that I have proved sufficiently that everything comes to pass according to determinate reasons, there cannot be any more difficulty over these principles of God’s foreknowledge.  Although these determinations do not compel, they cannot but be certain, and they … Continue reading →

Posted in Causality, Certainty, Chance, Contingency, Determination, Determinism, Differential Calculus, Differential Logic, Evil, Free Will, Freedom, Hologrammautomaton, Infinitesimals, Leibniz, Preëstablished Harmony, Theodicy | Tagged , , , , , , , , , , , , , , , | 17 Comments