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 — 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.
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<font size="3">&#9758;</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]].
  
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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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'''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.
  
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==Readings==
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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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* [[Directory:Jon Awbrey/Papers/Differential Logic : Introduction|Differential Logic : Introduction]]
 
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* [[Directory:Jon Awbrey/Papers/Differential Logic and Dynamic Systems 2.0|Differential Logic and Dynamic Systems]]
 
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==Resources==
 
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* [http://vectors.usc.edu/thoughtmesh/publish/143.php Differential Logic @ ThoughtMesh]
 
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* [http://planetmath.org/encyclopedia/DifferentialPropositionalCalculus.html Differential Propositional Calculus @ PlanetMath]
 
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* [http://planetphysics.org/encyclopedia/DifferentialPropositionalCalculus.html Differential Propositional Calculus @ PlanetPhysics]
 
  
 
==Syllabus==
 
==Syllabus==
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===Focal nodes===
 
===Focal nodes===
  
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* [[Inquiry Live]]
 
* [[Inquiry Live]]
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* [[Logic Live]]
 
* [[Logic Live]]
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===Peer nodes===
 
===Peer nodes===
  
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* [http://beta.wikiversity.org/wiki/Differential_logic Differential Logic @ Beta Wikiversity]
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* [http://intersci.ss.uci.edu/wiki/index.php/Differential_logic Differential Logic @ InterSciWiki]
 
* [http://mywikibiz.com/Differential_logic Differential Logic @ MyWikiBiz]
 
* [http://mywikibiz.com/Differential_logic Differential Logic @ MyWikiBiz]
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* [http://www.netknowledge.org/wiki/Differential_logic Differential Logic @ NetKnowledge]
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* [http://ref.subwiki.org/wiki/Differential_logic Differential Logic @ Subject Wikis]
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* [http://semanticweb.org/wiki/Differential_logic Differential Logic @ SemanticWeb]
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* [http://en.wikiversity.org/wiki/Differential_logic Differential Logic @ Wikiversity]
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* [http://beta.wikiversity.org/wiki/Differential_logic Differential Logic @ Wikiversity Beta]
  
 
===Logical operators===
 
===Logical operators===
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* [[Inquiry]]
 
* [[Inquiry]]
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* [[Dynamics of inquiry]]
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* [[Semeiotic]]
 
* [[Logic of information]]
 
* [[Logic of information]]
 
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* [[Pragmatic maxim]]
 
* [[Pragmatic maxim]]
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* [[Pragmatic theory of truth]]
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* [[Truth theory]]
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* [[Semeiotic]]
 
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* [[Semiotic information]]
 
 
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===Related articles===
 
===Related articles===
  
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Introduction_to_Inquiry_Driven_Systems Jon Awbrey, &ldquo;Introduction To Inquiry Driven Systems&rdquo;]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Essays/Prospects_For_Inquiry_Driven_Systems Jon Awbrey, &ldquo;Prospects For Inquiry Driven Systems&rdquo;]
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* [http://intersci.ss.uci.edu/wiki/index.php/Cactus_Language Cactus Language]
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* [http://intersci.ss.uci.edu/wiki/index.php/Futures_Of_Logical_Graphs Futures Of Logical Graphs]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Inquiry_Driven_Systems Jon Awbrey, &ldquo;Inquiry Driven Systems : Inquiry Into Inquiry&rdquo;]
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* [http://intersci.ss.uci.edu/wiki/index.php/Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Propositional_Equation_Reasoning_Systems Jon Awbrey, &ldquo;Propositional Equation Reasoning Systems&rdquo;]
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* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_:_Introduction Differential Logic : Introduction]
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* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Propositional_Calculus Differential Propositional Calculus]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_:_Introduction Jon Awbrey, &ldquo;Differential Logic : Introduction&rdquo;]
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* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_and_Dynamic_Systems_2.0 Differential Logic and Dynamic Systems]
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{{col-break}}
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* [http://planetmath.org/encyclopedia/DifferentialPropositionalCalculus.html Jon Awbrey, &ldquo;Differential Propositional Calculus&rdquo;]
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* [http://intersci.ss.uci.edu/wiki/index.php/Prospects_for_Inquiry_Driven_Systems Prospects for Inquiry Driven Systems]
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* [http://intersci.ss.uci.edu/wiki/index.php/Introduction_to_Inquiry_Driven_Systems Introduction to Inquiry Driven Systems]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems_2.0 Jon Awbrey, &ldquo;Differential Logic and Dynamic Systems&rdquo;]
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* [http://intersci.ss.uci.edu/wiki/index.php/Inquiry_Driven_Systems Inquiry Driven Systems : Inquiry Into Inquiry]
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==Document history==
 
==Document history==
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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.
  
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{{col-begin}}
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* [http://intersci.ss.uci.edu/wiki/index.php/Differential_logic Differential Logic], [http://intersci.ss.uci.edu/ InterSciWiki]
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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]
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* [http://beta.wikiversity.org/wiki/Differential_logic Differential Logic], [http://beta.wikiversity.org/ Beta Wikiversity]
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* [http://planetmath.org/DifferentialLogic Differential Logic], [http://planetmath.org/ PlanetMath]
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* [http://www.mathweb.org/wiki/Differential_logic Differential Logic], [http://www.mathweb.org/wiki/ MathWeb Wiki]
 
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* [http://www.netknowledge.org/wiki/Differential_logic Differential Logic], [http://www.netknowledge.org/ NetKnowledge]
 
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* [http://p2pfoundation.net/Differential_logic Differential Logic], [http://p2pfoundation.net/ P2P Foundation]
 
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* [http://planetmath.org/encyclopedia/DifferentialLogic.html Differential Logic], [http://planetmath.org/ PlanetMath]
 
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* [http://planetphysics.org/encyclopedia/DifferentialLogic.html Differential Logic], [http://planetphysics.org/ PlanetPhysics]
 
 
* [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]
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* [http://knol.google.com/k/jon-awbrey/differential-logic/3fkwvf69kridz/2 Differential Logic], [http://knol.google.com/ Google Knol]
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* [http://wikinfo.org/w/index.php/Differential_logic Differential Logic], [http://wikinfo.org/w/ Wikinfo]
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* [http://www.getwiki.net/-Differential_Logic Differential Logic], [http://www.getwiki.net/ GetWiki]
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* [http://en.wikiversity.org/wiki/Differential_logic Differential Logic], [http://en.wikiversity.org/ Wikiversity]
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* [http://beta.wikiversity.org/wiki/Differential_logic Differential Logic], [http://beta.wikiversity.org/ Wikiversity Beta]
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Latest revision as of 22:28, 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

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Related topics

Template:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-end

Relational concepts

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Information, Inquiry

Template:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-breakTemplate:Col-end

Related articles

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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.

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