Difference between revisions of "Differential logic"

From Ref
Jump to: navigation, search
(+ article)
 
(update)
 
Line 3: Line 3:
 
'''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.
 
'''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.
  
 
==Syllabus==
 
==Syllabus==
Line 9: Line 9:
 
===Focal nodes===
 
===Focal nodes===
  
{{col-begin}}
 
{{col-break}}
 
 
* [[Inquiry Live]]
 
* [[Inquiry Live]]
{{col-break}}
 
 
* [[Logic Live]]
 
* [[Logic Live]]
{{col-end}}
 
  
 
===Peer nodes===
 
===Peer nodes===
  
{{col-begin}}
+
* [http://intersci.ss.uci.edu/wiki/index.php/Differential_logic Differential Logic @ InterSciWiki]
{{col-break}}
+
 
* [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]
 
* [http://wiki.oercommons.org/mediawiki/index.php/Differential_logic Differential Logic @ OER Commons]
 
{{col-break}}
 
* [http://p2pfoundation.net/Differential_Logic Differential Logic @ P2P Foundation]
 
* [http://semanticweb.org/wiki/Differential_logic Differential Logic @ SemanticWeb]
 
 
* [http://ref.subwiki.org/wiki/Differential_logic Differential Logic @ Subject Wikis]
 
* [http://ref.subwiki.org/wiki/Differential_logic Differential Logic @ Subject Wikis]
 +
* [http://en.wikiversity.org/wiki/Differential_logic Differential Logic @ Wikiversity]
 
* [http://beta.wikiversity.org/wiki/Differential_logic Differential Logic @ Wikiversity Beta]
 
* [http://beta.wikiversity.org/wiki/Differential_logic Differential Logic @ Wikiversity Beta]
{{col-end}}
 
  
 
===Logical operators===
 
===Logical operators===
Line 108: Line 97:
 
===Related articles===
 
===Related articles===
  
* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Semiotic_Information Jon Awbrey, “Semiotic Information”]
+
{{col-begin}}
 
+
{{col-break}}
* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Introduction_to_Inquiry_Driven_Systems Jon Awbrey, “Introduction To Inquiry Driven Systems”]
+
* [http://intersci.ss.uci.edu/wiki/index.php/Cactus_Language Cactus Language]
 
+
* [http://intersci.ss.uci.edu/wiki/index.php/Futures_Of_Logical_Graphs Futures Of Logical Graphs]
* [http://mywikibiz.com/Directory:Jon_Awbrey/Essays/Prospects_For_Inquiry_Driven_Systems Jon Awbrey, “Prospects For Inquiry Driven Systems”]
+
* [http://intersci.ss.uci.edu/wiki/index.php/Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems]
 
+
{{col-break}}
* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Inquiry_Driven_Systems Jon Awbrey, “Inquiry Driven Systems : Inquiry Into Inquiry”]
+
* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_:_Introduction Differential Logic : Introduction]
 
+
* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Propositional_Calculus Differential Propositional Calculus]
* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Propositional_Equation_Reasoning_Systems Jon Awbrey, “Propositional Equation Reasoning Systems”]
+
* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_and_Dynamic_Systems_2.0 Differential Logic and Dynamic Systems]
 
+
{{col-break}}
* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_:_Introduction Jon Awbrey, “Differential Logic : Introduction”]
+
* [http://intersci.ss.uci.edu/wiki/index.php/Prospects_for_Inquiry_Driven_Systems Prospects for Inquiry Driven Systems]
 
+
* [http://intersci.ss.uci.edu/wiki/index.php/Introduction_to_Inquiry_Driven_Systems Introduction to Inquiry Driven Systems]
* [http://planetmath.org/encyclopedia/DifferentialPropositionalCalculus.html Jon Awbrey, “Differential Propositional Calculus”]
+
* [http://intersci.ss.uci.edu/wiki/index.php/Inquiry_Driven_Systems Inquiry Driven Systems : Inquiry Into Inquiry]
 
+
{{col-end}}
* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems_2.0 Jon Awbrey, “Differential Logic and Dynamic Systems”]
+
  
 
==Document history==
 
==Document history==
Line 128: Line 116:
 
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.
 
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.
  
{{col-begin}}
+
* [http://intersci.ss.uci.edu/wiki/index.php/Differential_logic Differential Logic], [http://intersci.ss.uci.edu/ InterSciWiki]
{{col-break}}
+
 
* [http://mywikibiz.com/Differential_logic Differential Logic], [http://mywikibiz.com/ MyWikiBiz]
 
* [http://mywikibiz.com/Differential_logic Differential Logic], [http://mywikibiz.com/ MyWikiBiz]
* [http://mathweb.org/wiki/Differential_logic Differential Logic], [http://mathweb.org/wiki/ MathWeb Wiki]
+
* [http://planetmath.org/DifferentialLogic Differential Logic], [http://planetmath.org/ PlanetMath]
* [http://netknowledge.org/wiki/Differential_logic Differential Logic], [http://netknowledge.org/ NetKnowledge]
+
* [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]
 
* [http://semanticweb.org/wiki/Differential_logic Differential Logic], [http://semanticweb.org/ Semantic Web]
{{col-break}}
+
* [http://wikinfo.org/w/index.php/Differential_logic Differential Logic], [http://wikinfo.org/w/ Wikinfo]
* [http://knol.google.com/k/jon-awbrey/differential-logic/3fkwvf69kridz/2 Differential Logic], [http://knol.google.com/ Google Knol]
+
* [http://en.wikiversity.org/wiki/Differential_logic Differential Logic], [http://en.wikiversity.org/ Wikiversity]
* [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://beta.wikiversity.org/wiki/Differential_logic Differential Logic], [http://beta.wikiversity.org/ Wikiversity Beta]
 
* [http://beta.wikiversity.org/wiki/Differential_logic Differential Logic], [http://beta.wikiversity.org/ Wikiversity Beta]
* [http://getwiki.net/-Differential_Logic Differential Logic], [http://getwiki.net/ GetWiki]
 
{{col-end}}
 
  
 
[[Category:Inquiry]]
 
[[Category:Inquiry]]
Line 147: Line 128:
 
[[Category:Peer Educational Resource]]
 
[[Category:Peer Educational Resource]]
 
[[Category:Artificial Intelligence]]
 
[[Category:Artificial Intelligence]]
 +
[[Category:Charles Sanders Peirce]]
 
[[Category:Combinatorics]]
 
[[Category:Combinatorics]]
 
[[Category:Computer Science]]
 
[[Category:Computer Science]]

Latest revision as of 22:34, 5 November 2015

This page belongs to resource collections on Logic and Inquiry.

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

Peer nodes

Logical operators

Related topics

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.