Tag Archives: Change

Survey of Differential Logic • 7

This is a Survey of work in progress on Differential Logic, resources under development toward a more systematic treatment. Differential logic is the component of logic whose object is the description of variation — the aspects of change, difference, distribution, … Continue reading

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Differential Propositional Calculus • Discussion 9

Consider what effects that might conceivably have practical bearings you conceive the objects of your conception to have.  Then, your conception of those effects is the whole of your conception of the object. — C.S. Peirce • The Maxim of … Continue reading

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Differential Propositional Calculus • 37

Foreshadowing Transformations • Extensions and Projections of Discourse And, despite the care which she took to look behind her at every moment, she failed to see a shadow which followed her like her own shadow, which stopped when she stopped, … Continue reading

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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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