The Logic of Change and Difference

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, for example, the aspects of change, difference, distribution, and diversity, in universes of discourse subject to qualitative logical description.  In its formalization, differential logic treats the principles governing the use of a “differential logical calculus”, in other words, 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.  This augments ordinary propositional calculus in the same way the differential calculus of Leibniz and Newton augments the analytic geometry of Descartes.

Resources

• Differential Logic • Part 1 • Part 2 • Part 3
• Differential Propositional Calculus • Part 1 • Part 2
• Differential Logic and Dynamic Systems • Part 1 • Part 2 • Part 3 • Part 4 • Part 5