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'differential logic'
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| Title of object: |
differential logic |
| Canonical Name: |
DifferentialLogic |
| Type: |
Definition |
| Created on: |
2008-03-12 12:55:34 |
| Modified on: |
2008-06-21 15:41:37 |
| Classification: |
msc:03B15, msc:03B42, msc:03B44, msc:34G99, msc:39A12, msc:53A40 |
Preamble:
% this is the default PlanetMath 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
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Content:
\PMlinkescapephrase{calculus}
\PMlinkescapephrase{Calculus}
\PMlinkescapephrase{component}
\PMlinkescapephrase{Component}
\PMlinkescapephrase{object}
\PMlinkescapephrase{Object}
\PMlinkescapephrase{simple}
\PMlinkescapephrase{Simple}
\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 \textit{\PMlinkname{differential propositional calculus}{DifferentialPropositionalCalculus}}. This extends ordinary propositional calculus 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}".
\end{itemize}
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