Differential Propositional Calculus • 1
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https://inquiryintoinquiry.com/2024/11/29/differential-propositional-calcul…
A “differential propositional calculus” is a propositional calculus
extended by a set of terms for describing aspects of change and
difference, for example, processes taking place in a universe
of discourse or transformations mapping a source universe
to a target universe.
Casual Introduction —
Consider the situation represented by the venn diagram in Figure 1.
Figure 1. Local Habitations, And Names
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The area of the rectangle represents the universe of discourse X.
The universe under discussion may be a population of individuals
having various additional properties or it may be a collection of
locations occupied by various individuals. The area of the “circle”
represents the individuals with the property q or the locations in
the corresponding region Q. Four individuals, a, b, c, d, are
singled out by name. As it happens, b and c currently reside
in region Q while a and d do not.
Resources —
Logic Syllabus
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https://inquiryintoinquiry.com/logic-syllabus/
Survey of Differential Logic
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https://inquiryintoinquiry.com/2024/02/25/survey-of-differential-logic-7
Regards,
Jon
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https://www.researchgate.net/post/Differential_Propositional_Calculus