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{{DISPLAYTITLE:Differential Logic}}

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'''Author: [[User:Jon Awbrey|Jon Awbrey]]'''

'''Author: [[User:Jon Awbrey|Jon Awbrey]]'''

'''Note.'''  ''The present Sketch is largely superseded by the article &ldquo;[[Differential Logic : Introduction]]&rdquo; but I have preserved it here for the sake of the remaining ideas that have yet to be absorbed elsewhere.''

'''Note.'''  ''The present Sketch is largely superseded by the article &ldquo;[[Differential Logic : Introduction]]&rdquo; but I have preserved it here for the sake of the remaining ideas that have yet to be absorbed elsewhere.''

'''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]] 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.

'''Differential logic''' is the component of logic whose object is the description of variation &mdash; for example, the aspects of change, difference, distribution, and diversity &mdash; 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]]''.  A differential propositional calculus is a [[propositional calculus]] extended by a set of terms for describing aspects of change and difference, for example, processes that take place in a universe of discourse or transformations that map a source universe into a target universe.  This augments ordinary propositional calculus in the same way that the differential calculus of Leibniz and Newton augments the analytic geometry of Descartes.

A simple example of a differential logical calculus is furnished by a ''[[differential propositional calculus]]''.  A differential propositional calculus is a [[propositional calculus]] extended by a set of terms for describing aspects of change and difference, for example, processes that take place in a universe of discourse or transformations that map a source universe into a target universe.  This augments ordinary propositional calculus in the same way that the differential calculus of Leibniz and Newton augments the analytic geometry of Descartes.