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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 \…

Differential Propositional Calculus • 22
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#Peirce #Logic #LogicalGraphs #DifferentialLogic #Cybernetics
#PropositionalCalculus #DifferentialPropositionalCalculus
#DiscreteDynamicalSystems #QualitativeDynamics
#BooleanFunctions #BooleanDifferenceCalculus

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Differential Propositional Calculus • 21
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#Peirce #Logic #LogicalGraphs #DifferentialLogic #Cybernetics
#PropositionalCalculus #DifferentialPropositionalCalculus
#DiscreteDynamicalSystems #QualitativeDynamics
#BooleanFunctions #BooleanDifferenceCalculus

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Differential Propositional Calculus • 20
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#Peirce #Logic #LogicalGraphs #DifferentialLogic #Cybernetics
#PropositionalCalculus #DifferentialPropositionalCalculus
#DiscreteDynamicalSystems #QualitativeDynamics
#BooleanFunctions #BooleanDifferenceCalculus

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Differential Propositional Calculus • 19
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#Peirce #Logic #LogicalGraphs #DifferentialLogic #Cybernetics
#PropositionalCalculus #DifferentialPropositionalCalculus
#DiscreteDynamicalSystems #QualitativeDynamics
#BooleanFunctions #BooleanDifferenceCalculus

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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…

Differential Propositional Calculus • 18
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#Peirce #Logic #LogicalGraphs #DifferentialLogic #Cybernetics
#PropositionalCalculus #DifferentialPropositionalCalculus
#DiscreteDynamicalSystems #QualitativeDynamics
#BooleanFunctions #BooleanDifferenceCalculus

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Differential Propositional Calculus • 17
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#Peirce #Logic #LogicalGraphs #DifferentialLogic #Cybernetics
#PropositionalCalculus #DifferentialPropositionalCalculus
#DiscreteDynamicalSystems #QualitativeDynamics
#BooleanFunctions #BooleanDifferenceCalculus

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Differential Propositional Calculus • 16
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#Peirce #Logic #LogicalGraphs #DifferentialLogic #Cybernetics
#PropositionalCalculus #DifferentialPropositionalCalculus
#DiscreteDynamicalSystems #QualitativeDynamics
#BooleanFunctions #BooleanDifferenceCalculus

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The idea of a tangent vector is key to the work and a major goal is to find the right logical analogues of tangent spaces, bundles, and functors.

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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…

Differential Propositional Calculus • 14
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#Peirce #Logic #LogicalGraphs #DifferentialLogic #Cybernetics
#PropositionalCalculus #DifferentialPropositionalCalculus
#DiscreteDynamicalSystems #QualitativeDynamics
#BooleanFunctions #BooleanDifferenceCalculus

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Logic Syllabus
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Survey of Differential Logic
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#LogicalGraphs #LogicalDifferenceCalculus
#BooleanFunctions #BooleanDifferenceCalculus
#PropositionalCalculus #DifferentialPropositionalCalculus
#QualitativeDynamics

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Resources —

Logic Syllabus
• inquiryintoinquiry.com/logic-syllab...

Survey of Differential Logic
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#PropositionalCalculus #DifferentialPropostionalCalculus
#DiscreteDynamicalSystems #QualitativeDynamics
#BooleanFunctions #BooleanDifferenceCalculus

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