differential logicDifferentialLogic2009-05-15 23:48:012009-05-15 23:48:01Definition% this is the default PlanetPhysics preamble. as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.
% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
% making logically defined graphics
%\usepackage{xypic}
% there are many more packages, add them here as you need them
% define commands here\PMlinkescapephrase{calculus}
\PMlinkescapephrase{Calculus}
\PMlinkescapephrase{component}
\PMlinkescapephrase{Component}
\PMlinkescapephrase{formal logic}
\PMlinkescapephrase{Formal Logic}
\PMlinkescapephrase{formal logics}
\PMlinkescapephrase{Formal Logics}
\PMlinkescapephrase{object}
\PMlinkescapephrase{Object}
\PMlinkescapephrase{simple}
\PMlinkescapephrase{Simple}
\PMlinkescapephrase{system}
\PMlinkescapephrase{System}
\PMlinkescapephrase{universe}
\PMlinkescapephrase{Universe}
\PMlinkescapephrase{universes}
\PMlinkescapephrase{Universes}
\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 and Dynamic Systems}{http://www.mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems_2.0}".
\end{itemize}