Differential Propositional Calculus • Overview
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https://inquiryintoinquiry.com/2023/11/12/differential-propositional-calcul…
❝The most fundamental concept in cybernetics is that of
“difference”, either that two things are recognisably
different or that one thing has changed with time.❞
— W. Ross Ashby • An Introduction to Cybernetics
All,
Here's the outline of a sketch I wrote on “differential
propositional calculi”, which extend propositional calculi
by adding 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.
I wrote this as an intuitive introduction to differential logic,
which is my best effort so far at dealing with the ancient and
persistent problems of treating diversity and mutability in
logical terms. I'll be looking at ways to improve this draft
as I serialize it to my blog.
Part 1 —
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https://oeis.org/wiki/Differential_Propositional_Calculus_%E2%80%A2_Part_1
Casual Introduction
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https://oeis.org/wiki/Differential_Propositional_Calculus_%E2%80%A2_Part_1#…
Cactus Calculus
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https://oeis.org/wiki/Differential_Propositional_Calculus_%E2%80%A2_Part_1#…
Part 2 —
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https://oeis.org/wiki/Differential_Propositional_Calculus_%E2%80%A2_Part_2
Formal_Development
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https://oeis.org/wiki/Differential_Propositional_Calculus_%E2%80%A2_Part_2#…
Elementary Notions
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https://oeis.org/wiki/Differential_Propositional_Calculus_%E2%80%A2_Part_2#…
Special Classes of Propositions
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https://oeis.org/wiki/Differential_Propositional_Calculus_%E2%80%A2_Part_2#…
Differential Extensions
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https://oeis.org/wiki/Differential_Propositional_Calculus_%E2%80%A2_Part_2#…
Appendices —
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https://oeis.org/wiki/Differential_Propositional_Calculus_%E2%80%A2_Appendi…
References —
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https://oeis.org/wiki/Differential_Propositional_Calculus_%E2%80%A2_Referen…
Regards,
Jon
cc:
https://www.academia.edu/community/5NdX3L
cc:
https://mathstodon.xyz/@Inquiry/111403787005796924