differential logicDifferentialLogic2008-03-12 12:55:342009-08-14 17:20:15Definition% This is the default PlanetMath preamble.
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\textbf{Differential logic} is the component of logic whose object is the description of variation --- for example, the aspects of change, difference, \PMlinkname{distribution}{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 \textbf{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 \PMlinkname{differential propositional calculus}{DifferentialPropositionalCalculus}. This extends an ordinary \PMlinkname{propositional calculus}{PropositionalCalculus} in the same way that \PMlinkname{differential calculus}{Calculus} extends analytic geometry.
\section{Readings}
\begin{itemize}
\item
Awbrey, J., ``\PMlinkexternal{Differential Logic : Introduction}{http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_:_Introduction}".
\item
Awbrey, J., ``\PMlinkexternal{Differential Logic and Dynamic Systems}{http://www.mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems_2.0}".
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