Differential Logic • The Logic of Change and Difference

[Jon Awbrey]

Differential Logic • The Logic of Change and Difference
• https://inquiryintoinquiry.com/2026/03/14/differential-logic-the-logic-of-change-and-difference-a/

“Differential logic is the logic of variation —
the logic of change and difference.”

Differential logic is the component of logic whose object is
the description of variation — the aspects of change, difference,
distribution, and diversity — in universes of discourse subject
to logical description. A definition as broad as that naturally
incorporates any study of variation by way of mathematical models,
but differential logic is especially charged with the qualitative
aspects of variation pervading or preceding quantitative models.

To the extent a logical inquiry makes use of a formal system,
its differential component treats the use of a “differential
logical calculus” — a formal system with the expressive capacity
to describe change and diversity in logical universes of discourse.

A simple case of a differential logical calculus is furnished
by a “differential propositional calculus”, a formalism which
augments ordinary propositional calculus in the same way the
differential calculus of Leibniz and Newton augments the
analytic geometry of Descartes.

Resources —

Logic Syllabus
• https://inquiryintoinquiry.com/logic-syllabus/

Survey of Differential Logic
• https://inquiryintoinquiry.com/2025/05/03/survey-of-differential-logic-8/

Differential Logic
• https://oeis.org/wiki/Differential_Logic_%E2%80%A2_Overview

Differential Propositional Calculus
• https://oeis.org/wiki/Differential_Propositional_Calculus_%E2%80%A2_Overview

Differential Logic and Dynamic Systems
• https://oeis.org/wiki/Differential_Logic_and_Dynamic_Systems_%E2%80%A2_Overview

Regards,

Jon

cc: https://www.academia.edu/community/VXoNQ9
cc: https://www.researchgate.net/post/Differential_Logic_The_Logic_of_Change_and_Difference2