Category Archives: Differential Logic

Special Classes of Propositions

Adapted from Differential Propositional Calculus • Special Classes of Propositions A basic proposition, coordinate proposition, or simple proposition in the universe of discourse is one of the propositions in the set Among the propositions in are several families of propositions … Continue reading

Posted in Boolean Functions, Computational Complexity, Differential Logic, Functional Logic, Logic, Mathematics, Propositional Calculus | Tagged , , , , , , | 2 Comments

Strangers In Paradise

Re: Kilvington’s Sophismata Comment 1 On the one hand Aristotle gives us the logic of analogy (παραδειγμα). On the other hand he cautions us that different paradigms may have no common measure. It seems these Immortals are always getting ahead … Continue reading

Posted in Albert Camus, Analogy, Aristotle, Differential Logic, Eleatic Stranger, Heraclitus, Incommensurability, Logic, Metabasis, Paradigmata, Paradox, Parmenides, Plato, Richard Kilvington, Sisyphus, Sophismata, Thomas Kuhn, Zeno | Tagged , , , , , , , , , , , , , , , , , | Leave a comment

The Present Is Big With The Future

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 Determination, Determinism, Differential Calculus, Differential Logic, Hologrammautomaton, Infinitesimals, Leibniz, Universal Harmony | Tagged , , , , , , , | Leave a comment

Sign Relational Manifolds : 5

Peircers, Let me try to say in intuitive terms what I think is really going on here. The problem we face is as old as the problem of other minds, or intersubjectivity, or even commensurability, and it naturally involves a … Continue reading

Posted in Cybernetics, Differential Logic, Geometry, Logic, Manifolds, Mathematics, Peirce, Riemann, Semiotics | Tagged , , , , , , , , | Leave a comment

Sign Relational Manifolds : 4

Peircers, I found another set of notes on this theme that appear to get to the point more quickly, and though they read a little rough in places I think it might be worth the effort to fill out their … Continue reading

Posted in Cybernetics, Differential Logic, Geometry, Logic, Manifolds, Mathematics, Peirce, Riemann, Semiotics | Tagged , , , , , , , , | 4 Comments

Sign Relational Manifolds : 3

Peircers, I made several attempts to articulate the connections between manifold theory and semiotics in the context of numerous list discussions that interwove each other through diverse nooks of the web in the early years of the present millennium. Here … Continue reading

Posted in Cybernetics, Differential Logic, Geometry, Logic, Manifolds, Mathematics, Peirce, Riemann, Semiotics | Tagged , , , , , , , , | Leave a comment

Sign Relational Manifolds : 2

Peircers, Here is a set of excerpts from Doolin and Martin (1990), Introduction to Differential Geometry for Engineers, that I used in discussing differentiable manifolds with other participants in the IEEE Standard Upper Ontology Working Group. What brought the concept … Continue reading

Posted in Cybernetics, Differential Logic, Geometry, Logic, Manifolds, Mathematics, Peirce, Riemann, Semiotics | Tagged , , , , , , , , | Leave a comment

Sign Relational Manifolds : 1

Peircers, Riemann’s concept of a manifold, especially as later developed, bears a close relationship to Peirce’s concept of a sign relation. I’ll have to wait for my present train of thought to stop at a station before I can hop … Continue reading

Posted in Cybernetics, Differential Logic, Geometry, Logic, Manifolds, Mathematics, Peirce, Riemann, Semiotics | Tagged , , , , , , , , | Leave a comment

Details, Details, Details

The difference between the devil and the divinity may lie in the details, but it’s not unusual for the devil to decoy us with detail after detail, when the unexamined premiss is the screen behind which the real deil lies. … Continue reading

Posted in Commerce, Differential Logic, Governance, Inquiry | Tagged , , , | 1 Comment

Differential Logic

The Logic of Change and Difference Differential logic is the logic of variation — the logic of change and difference. Introduction Differential logic is the component of logic whose object is the successful description of variation — for example, the … Continue reading

Posted in Differential Logic, Discrete Dynamical Systems, Logic, Mathematics | Tagged , , , | Leave a comment