Monthly Archives: December 2023

Differential Propositional Calculus • 36

Transformations of Discourse It is understandable that an engineer should be completely absorbed in his speciality, instead of pouring himself out into the freedom and vastness of the world of thought, even though his machines are being sent off to … Continue reading

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Differential Propositional Calculus • Discussion 8

Re: Drives and Their Vicissitudes • Fourth Gear Orbits Re: Laws of Form • Lyle Anderson LA: Some of your diagrams, specifically Figure 16. A Couple of Fourth Gear Orbits, are beginning to look like Heim’s sketches for the structure … Continue reading

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Differential Propositional Calculus • 35

Example 2. Drives and Their Vicissitudes (concl.) Applied to the example of ‑gear curves, the indexing scheme results in the data of the next two Tables, showing one period for each orbit. The states in each orbit are listed as … Continue reading

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Differential Propositional Calculus • 34

Example 2. Drives and Their Vicissitudes (cont.) With a little thought it is possible to devise a canonical indexing scheme for the states in differential logical systems.  A scheme of that order allows for comparing changes of state in universes … Continue reading

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Differential Propositional Calculus • 33

Example 2. Drives and Their Vicissitudes (cont.) Expressed in terms of drives and gears our next Example may be described as the family of ‑gear curves in the fourth extension   Those are the trajectories generated subject to the dynamic … Continue reading

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Differential Propositional Calculus • 32

I open my scuttle at night and see the far‑sprinkled systems, And all I see, multiplied as high as I can cipher, edge but      the rim of the farther systems. — Walt Whitman • Leaves of Grass Example 2. Drives … Continue reading

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Differential Propositional Calculus • 31

Tacit Extensions Returning to the Table of Differential Propositions, let’s examine how the general concept of a tacit extension applies to the differential extension of a one‑dimensional universe of discourse, where and Each proposition has a canonical expression in the … Continue reading

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Differential Propositional Calculus • 30

I would really like to have slipped imperceptibly into this lecture, as into all the others I shall be delivering, perhaps over the years ahead. — Michel Foucault • The Discourse on Language Tacit Extensions In viewing the previous Table … Continue reading

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Differential Propositional Calculus • 29

I guess it must be the flag of my disposition, out of hopeful      green stuff woven. — Walt Whitman • Leaves of Grass Back to the Feature Let’s assume the sense intended for differential features is well enough established in … Continue reading

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Differential Propositional Calculus • 28

Commentary On Small Models The consequence of dealing with “practically infinite extensions” becomes crucial in building neural network systems capable of learning and adapting, since the adaptive competence of any intelligent system is limited to the objects and domains it … 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 , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 2 Comments