Tag Archives: Leibniz

Survey of Differential Logic • 2

This is a Survey of previous blog and wiki posts on Differential Logic, material I plan to develop toward a more compact and systematic account. Elements Differential Propositional Calculus Differential Logic • Part 1 • Part 2 • Part 3 … 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 , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Differential Logic • Comment 4

Re: Cybernetic Communications • Stephen Paul King SPK: Is it possible that beliefs can propagate almost completely contrary to facts, seen by those that are not infected with those beliefs? Can we have complex waves in the domains of binary truth … 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 , , , , , , , , , , , , , , , , , , , , , , , , , , , ,

History, Its Arc, Its Tangents • 2

Re: Renaissance Mathematicus • Both Sides of History Are there watersheds in the history of science?  A continental divide between basins of right and wrong ideas?  I was pondering these questions when one of my favorite passages from Leibniz came … Continue reading

Posted in Differential Calculus, History of Science, Hologrammautomaton, Leibniz, Thony Christie | Tagged , , , , | Leave a comment

¿Shifting Paradigms? • 6

Re: Peter Cameron • Infinity and Foundation C.S. Peirce is one who recognized the constitutional independence of mathematical inquiry, finding at its core a mode of operation tantamount to observation and more primitive than logic itself.  Here is one place … Continue reading

Posted in Algorithms, Boole, C.S. Peirce, Combinatorics, Computation, Foundations of Mathematics, Inquiry, Laws of Form, Leibniz, Logic, Mathematics, Model Theory, Paradigms, Peirce, Proof Theory, Spencer Brown | Tagged , , , , , , , , , , , , , , , | Leave a comment

¿Shifting Paradigms? • 5

Re: Peter Cameron • Infinity and Foundation We always encounter a multitude of problems whenever we try to rationalize mathematics by reducing it to logic, where logic itself is reduced to a purely deductive style.  A number of thinkers have … Continue reading

Posted in Algorithms, Boole, C.S. Peirce, Combinatorics, Computation, Foundations of Mathematics, Inquiry, Laws of Form, Leibniz, Logic, Mathematics, Model Theory, Paradigms, Peirce, Proof Theory, Spencer Brown | Tagged , , , , , , , , , , , , , , , | 3 Comments

The Present Is Big With The Future • Comment 2

Re: Facebook Discussion • John Barclay-Morton 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 … Continue reading

Posted in C.S. Peirce, Determination, Determinism, Differential Calculus, Differential Logic, Hologrammautomaton, Infinitesimals, Leibniz, Logic, Logical Graphs, Mathematics, Peirce, Propositional Calculus, Universal Harmony | Tagged , , , , , , , , , , , , , | 1 Comment

The Present Is Big With The Future • Comment 1

Re: Peirce List • JFS Re: Peirce List • JA Here is a passage from Leibniz where he half encrypts half decrypts the big idea sparking his discovery of the differential calculus. The Present Is Big With The Future Now … Continue reading

Posted in C.S. Peirce, Determination, Determinism, Differential Calculus, Differential Logic, Hologrammautomaton, Infinitesimals, Leibniz, Logic, Logical Graphs, Mathematics, Peirce, Propositional Calculus, Universal Harmony | Tagged , , , , , , , , , , , , , | 2 Comments