Differential logic

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Differential logic is the component of logic whose object is the successful 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. This augments ordinary propositional calculus in the same way that the differential calculus of Leibniz and Newton augments the analytic geometry of Descartes.

Focal nodes

 * Inquiry Live


 * Logic Live

Peer nodes

 * Differential Logic @ MyWikiBiz
 * Differential Logic @ MathWeb Wiki
 * Differential Logic @ NetKnowledge
 * Differential Logic @ OER Commons


 * Differential Logic @ P2P Foundation
 * Differential Logic @ SemanticWeb
 * Differential Logic @ Subject Wikis
 * Differential Logic @ Wikiversity Beta

Logical operators

 * Exclusive disjunction
 * Logical conjunction
 * Logical disjunction
 * Logical equality


 * Logical implication
 * Logical NAND
 * Logical NNOR
 * Negation

Related topics

 * Ampheck
 * Boolean domain
 * Boolean function
 * Boolean-valued function
 * Differential logic


 * Logical graph
 * Minimal negation operator
 * Multigrade operator
 * Parametric operator
 * Peirce's law


 * Propositional calculus
 * Sole sufficient operator
 * Truth table
 * Universe of discourse
 * Zeroth order logic

Relational concepts

 * Continuous predicate
 * Hypostatic abstraction
 * Logic of relatives
 * Logical matrix


 * Relation
 * Relation composition
 * Relation construction
 * Relation reduction


 * Relation theory
 * Relative term
 * Sign relation
 * Triadic relation

Information, Inquiry

 * Inquiry
 * Dynamics of inquiry


 * Semeiotic
 * Logic of information


 * Descriptive science
 * Normative science


 * Pragmatic maxim
 * Truth theory

Related articles

 * Jon Awbrey, &ldquo;Semiotic Information&rdquo;


 * Jon Awbrey, &ldquo;Introduction To Inquiry Driven Systems&rdquo;


 * Jon Awbrey, &ldquo;Prospects For Inquiry Driven Systems&rdquo;


 * Jon Awbrey, &ldquo;Inquiry Driven Systems : Inquiry Into Inquiry&rdquo;


 * Jon Awbrey, &ldquo;Propositional Equation Reasoning Systems&rdquo;


 * Jon Awbrey, &ldquo;Differential Logic : Introduction&rdquo;


 * Jon Awbrey, &ldquo;Differential Propositional Calculus&rdquo;


 * Jon Awbrey, &ldquo;Differential Logic and Dynamic Systems&rdquo;

Document history
Portions of the above article were adapted from the following sources under the GNU Free Documentation License, under other applicable licenses, or by permission of the copyright holders.


 * Differential Logic, MyWikiBiz
 * Differential Logic, MathWeb Wiki
 * Differential Logic, NetKnowledge
 * Differential Logic, P2P Foundation
 * Differential Logic, Semantic Web


 * Differential Logic, Google Knol
 * Differential Logic, PlanetMath
 * Differential Logic, PlanetPhysics
 * Differential Logic, Wikiversity Beta
 * Differential Logic, GetWiki