Difference between revisions of "Differential logic"
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| − | '''Differential logic''' is the component of logic whose object is the successful description of variation | + | '''Differential logic''' is the component of logic whose object is the successful description of variation — for example, the aspects of change, difference, 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]]. This augments ordinary [[propositional calculus]] in the same way that the [[differential calculus]] of [[Leibniz]] and [[Newton]] augments the [[analytic geometry]] of [[Descartes]]. | 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]]. | ||
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* [http://mywikibiz.com/Differential_logic Differential Logic @ MyWikiBiz] | * [http://mywikibiz.com/Differential_logic Differential Logic @ MyWikiBiz] | ||
| + | * [http://mathweb.org/wiki/Differential_logic Differential Logic @ MathWeb Wiki] | ||
| + | * [http://netknowledge.org/wiki/Differential_logic Differential Logic @ NetKnowledge] | ||
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| − | * [http:// | + | * [http://wiki.oercommons.org/mediawiki/index.php/Differential_logic Differential Logic @ OER Commons] |
| + | * [http://p2pfoundation.net/Differential_Logic Differential Logic @ P2P Foundation] | ||
* [http://semanticweb.org/wiki/Differential_logic Differential Logic @ SemanticWeb] | * [http://semanticweb.org/wiki/Differential_logic Differential Logic @ SemanticWeb] | ||
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* [http://mywikibiz.com/Differential_logic Differential Logic], [http://mywikibiz.com/ MyWikiBiz] | * [http://mywikibiz.com/Differential_logic Differential Logic], [http://mywikibiz.com/ MyWikiBiz] | ||
| − | * [http:// | + | * [http://mathweb.org/wiki/Differential_logic Differential Logic], [http://mathweb.org/wiki/ MathWeb Wiki] |
| − | + | * [http://netknowledge.org/wiki/Differential_logic Differential Logic], [http://netknowledge.org/ NetKnowledge] | |
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* [http://p2pfoundation.net/Differential_logic Differential Logic], [http://p2pfoundation.net/ P2P Foundation] | * [http://p2pfoundation.net/Differential_logic Differential Logic], [http://p2pfoundation.net/ P2P Foundation] | ||
| + | * [http://semanticweb.org/wiki/Differential_logic Differential Logic], [http://semanticweb.org/ Semantic Web] | ||
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| + | * [http://knol.google.com/k/jon-awbrey/differential-logic/3fkwvf69kridz/2 Differential Logic], [http://knol.google.com/ Google Knol] | ||
* [http://planetmath.org/encyclopedia/DifferentialLogic.html Differential Logic], [http://planetmath.org/ PlanetMath] | * [http://planetmath.org/encyclopedia/DifferentialLogic.html Differential Logic], [http://planetmath.org/ PlanetMath] | ||
* [http://planetphysics.org/encyclopedia/DifferentialLogic.html Differential Logic], [http://planetphysics.org/ PlanetPhysics] | * [http://planetphysics.org/encyclopedia/DifferentialLogic.html Differential Logic], [http://planetphysics.org/ PlanetPhysics] | ||
| − | * [http:// | + | * [http://beta.wikiversity.org/wiki/Differential_logic Differential Logic], [http://beta.wikiversity.org/ Wikiversity Beta] |
| − | * [http:// | + | * [http://getwiki.net/-Differential_Logic Differential Logic], [http://getwiki.net/ GetWiki] |
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[[Category:Artificial Intelligence]] | [[Category:Artificial Intelligence]] | ||
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[[Category:Logic]] | [[Category:Logic]] | ||
Revision as of 15:18, 7 May 2010
Differential logic is the component of logic whose object is the successful description of variation — for example, the aspects of change, difference, 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. This augments ordinary propositional calculus in the same way that the differential calculus of Leibniz and Newton augments the analytic geometry of Descartes.
Syllabus
Focal nodes
Template:Col-breakTemplate:Col-breakTemplate:Col-endPeer nodes
- Differential Logic @ OER Commons
- Differential Logic @ P2P Foundation
- Differential Logic @ SemanticWeb
Logical operators
Related topics
- Propositional calculus
- Sole sufficient operator
- Truth table
- Universe of discourse
- Zeroth order logic
Relational concepts
Information, Inquiry
Related articles
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
<sharethis />
Categories:
- Inquiry
- Open Educational Resource
- Peer Educational Resource
- Artificial Intelligence
- Combinatorics
- Computer Science
- Cybernetics
- Differential Logic
- Dynamical Systems
- Equational Reasoning
- Formal Languages
- Formal Sciences
- Formal Systems
- Graph Theory
- History of Logic
- History of Mathematics
- Knowledge Representation
- Logic
- Logical Graphs
- Mathematics
- Mathematical Systems Theory
- Philosophy
- Semiotics
- Systems Science
- Visualization
