Differential logic - Revision history

Jon Awbrey: update

2015-11-05T22:34:13Z

update

← Older revision		Revision as of 22:34, 5 November 2015
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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.		'''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==
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	===Focal nodes===		===Focal nodes===

	~~{{col-begin}}~~
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	* [[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===
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	===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==
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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.

	~~{{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}}~~

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	[[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]]

Jon Awbrey: + article

2010-06-21T11:28:34Z

+ article

New page

<font size="3">☞</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|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===

{{col-begin}}
{{col-break}}
* [[Inquiry Live]]
{{col-break}}
* [[Logic Live]]
{{col-end}}

===Peer nodes===

{{col-begin}}
{{col-break}}
* [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://beta.wikiversity.org/wiki/Differential_logic Differential Logic @ Wikiversity Beta]
{{col-end}}

===Logical operators===

{{col-begin}}
{{col-break}}
* [[Exclusive disjunction]]
* [[Logical conjunction]]
* [[Logical disjunction]]
* [[Logical equality]]
{{col-break}}
* [[Logical implication]]
* [[Logical NAND]]
* [[Logical NNOR]]
* [[Logical negation|Negation]]
{{col-end}}

===Related topics===

{{col-begin}}
{{col-break}}
* [[Ampheck]]
* [[Boolean domain]]
* [[Boolean function]]
* [[Boolean-valued function]]
* [[Differential logic]]
{{col-break}}
* [[Logical graph]]
* [[Minimal negation operator]]
* [[Multigrade operator]]
* [[Parametric operator]]
* [[Peirce's law]]
{{col-break}}
* [[Propositional calculus]]
* [[Sole sufficient operator]]
* [[Truth table]]
* [[Universe of discourse]]
* [[Zeroth order logic]]
{{col-end}}

===Relational concepts===

{{col-begin}}
{{col-break}}
* [[Continuous predicate]]
* [[Hypostatic abstraction]]
* [[Logic of relatives]]
* [[Logical matrix]]
{{col-break}}
* [[Relation (mathematics)|Relation]]
* [[Relation composition]]
* [[Relation construction]]
* [[Relation reduction]]
{{col-break}}
* [[Relation theory]]
* [[Relative term]]
* [[Sign relation]]
* [[Triadic relation]]
{{col-end}}

===Information, Inquiry===

{{col-begin}}
{{col-break}}
* [[Inquiry]]
* [[Dynamics of inquiry]]
{{col-break}}
* [[Semeiotic]]
* [[Logic of information]]
{{col-break}}
* [[Descriptive science]]
* [[Normative science]]
{{col-break}}
* [[Pragmatic maxim]]
* [[Truth theory]]
{{col-end}}

===Related articles===

* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Semiotic_Information Jon Awbrey, “Semiotic Information”]

* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Introduction_to_Inquiry_Driven_Systems Jon Awbrey, “Introduction To Inquiry Driven Systems”]

* [http://mywikibiz.com/Directory:Jon_Awbrey/Essays/Prospects_For_Inquiry_Driven_Systems Jon Awbrey, “Prospects For Inquiry Driven Systems”]

* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Inquiry_Driven_Systems Jon Awbrey, “Inquiry Driven Systems : Inquiry Into Inquiry”]

* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Propositional_Equation_Reasoning_Systems Jon Awbrey, “Propositional Equation Reasoning Systems”]

* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_:_Introduction Jon Awbrey, “Differential Logic : Introduction”]

* [http://planetmath.org/encyclopedia/DifferentialPropositionalCalculus.html Jon Awbrey, “Differential Propositional Calculus”]

* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems_2.0 Jon Awbrey, “Differential Logic and Dynamic Systems”]

==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.

{{col-begin}}
{{col-break}}
* [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://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]
{{col-break}}
* [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://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://getwiki.net/-Differential_Logic Differential Logic], [http://getwiki.net/ GetWiki]
{{col-end}}

[[Category:Inquiry]]
[[Category:Open Educational Resource]]
[[Category:Peer Educational Resource]]
[[Category:Artificial Intelligence]]
[[Category:Combinatorics]]
[[Category:Computer Science]]
[[Category:Cybernetics]]
[[Category:Differential Logic]]
[[Category:Dynamical Systems]]
[[Category:Equational Reasoning]]
[[Category:Formal Languages]]
[[Category:Formal Sciences]]
[[Category:Formal Systems]]
[[Category:Graph Theory]]
[[Category:History of Logic]]
[[Category:History of Mathematics]]
[[Category:Knowledge Representation]]
[[Category:Logic]]
[[Category:Logical Graphs]]
[[Category:Mathematics]]
[[Category:Mathematical Systems Theory]]
[[Category:Philosophy]]
[[Category:Semiotics]]
[[Category:Systems Science]]
[[Category:Visualization]]