Differential Propositional Calculus • 22 A One‑Dimensional Universe (cont.) The first order differential extension of $latex \mathcal{X}&fg=000000$ is $latex \mathrm{E}\mathcal{X} = \{ x_1, \mathrm{d}x_1 \} = \{ A, \mathrm{d}A \…

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Differential Propositional Calculus • 21
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Differential Propositional Calculus • 20
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Differential Propositional Calculus • 19
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Differential Propositional Calculus • 18 The Extended Universe of Discourse The extended basis $latex \mathrm{E}\mathcal{A}&fg=000000$ of a universe of discourse $latex [\mathcal{A}]&fg=000000$ is formed by taking the initial basi…

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Differential Propositional Calculus • 17
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Differential Propositional Calculus • 16
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To express the goal in a turn of phrase, the aim is to develop a “differential theory of qualitative equations”, one which can parallel the application of differential geometry to dynamical systems.

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Differential Propositional Calculus • 14 Differential Extensions Table 11 summarizes the notations needed to describe the first order differential extensions of propositional calculi in a systematic manner. $latex \text{Table 11. Dif…

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Logic Syllabus
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Survey of Differential Logic
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Resources —

Logic Syllabus
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Survey of Differential Logic
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Differential Propositional Calculus • 9
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Special Classes of Propositions —

The full set of propositions f : A → B contains a number of smaller classes deserving of special attention.

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