differential logic
Differential logic is the component of logic whose object is the description of variation — for example, the aspects of change, difference^{}, distribution (http://planetmath.org/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 (http://planetmath.org/DifferentialPropositionalCalculus). This extends an ordinary propositional calculus^{} (http://planetmath.org/PropositionalCalculus) in the same way that differential calculus^{} (http://planetmath.org/Calculus) extends analytic geometry.
1 Readings

•
Awbrey, J., “http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_:_IntroductionDifferential Logic : Introduction”.

•
Awbrey, J., “http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_and_Dynamic_Systems_2.0Differential Logic and Dynamic Systems”.
Title  differential logic 
Canonical name  DifferentialLogic 
Date of creation  20130822 21:53:01 
Last modified on  20130822 21:53:01 
Owner  Jon Awbrey (15246) 
Last modified by  Jon Awbrey (15246) 
Numerical id  16 
Author  Jon Awbrey (15246) 
Entry type  Definition 
Classification  msc 53A40 
Classification  msc 39A12 
Classification  msc 34G99 
Classification  msc 03B44 
Classification  msc 03B42 
Classification  msc 03B15 
Related topic  DifferentialPropositionalCalculus 
Related topic  DifferentialPropositionalCalculusExamples 
Related topic  DifferentialPropositionalCalculusAppendices 
Related topic  DifferentialPropositionalCalculusAppendix2 
Related topic  DifferentialPropositionalCalculusAppendix3 
Related topic  DifferentialPropositionalCalculusAppendix4 