Differential Logic

The Logic of Change and Difference

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Abstract

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

Introduction

Differential logic is the component of logic whose object is the successful description of variation — for example, the aspects of change, difference, distribution, and diversity — in universes of discourse that are subject to logical description.  In formal logic, differential logic treats the principles that govern the use of a ”differential logical calculus”, that is, a formal system with the expressive capacity to describe change and diversity in logical universes of discourse.

A simple example of a differential logical calculus is furnished by a differential propositional calculus.  This augments ordinary propositional calculus in the same way that the differential calculus of Leibniz and Newton augments the analytic geometry of Descartes.

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