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Peirce's law (view source)

Revision as of 04:14, 18 November 2015

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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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'''Peirce's law''' is a formula in [[propositional calculus]] that is commonly expressed in the following form:
 
'''Peirce's law''' is a formula in [[propositional calculus]] that is commonly expressed in the following form:
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==Graphical proof==
 
==Graphical proof==
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Under the existential interpretation of Peirce's [[logical graph]]s, Peirce's law is represented by means of the following formal equivalence or logical equation.
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Under the existential interpretation of Peirce's [[logical graphs]], Peirce's law is represented by means of the following formal equivalence or logical equation.
    
{| align="center" border="0" cellpadding="10" cellspacing="0"
 
{| align="center" border="0" cellpadding="10" cellspacing="0"
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===Focal nodes===
 
===Focal nodes===
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{{col-break}}
   
* [[Inquiry Live]]
 
* [[Inquiry Live]]
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{{col-break}}
   
* [[Logic Live]]
 
* [[Logic Live]]
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{{col-end}}
      
===Peer nodes===
 
===Peer nodes===
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* [http://intersci.ss.uci.edu/wiki/index.php/Peirce's_law Peirce's Law @ InterSciWiki]
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* [http://mywikibiz.com/Peirce's_law Peirce's Law @ MyWikiBiz]
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* [http://ref.subwiki.org/wiki/Peirce's_law Peirce's Law @ Subject Wikis]
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* [http://en.wikiversity.org/wiki/Peirce's_law Peirce's Law @ Wikiversity]
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* [http://beta.wikiversity.org/wiki/Peirce's_law Peirce's Law @ Wikiversity Beta]
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===Logical operators===
    
{{col-begin}}
 
{{col-begin}}
 
{{col-break}}
 
{{col-break}}
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* [http://beta.wikiversity.org/wiki/Peirce's_law Peirce's Law @ Beta Wikiversity]
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* [[Exclusive disjunction]]
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* [[Logical conjunction]]
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* [[Logical disjunction]]
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* [[Logical equality]]
 
{{col-break}}
 
{{col-break}}
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* [http://mywikibiz.com/Peirce's_law Peirce's Law @ MyWikiBiz]
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* [[Logical implication]]
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* [[Logical NAND]]
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* [[Logical NNOR]]
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* [[Logical negation|Negation]]
 
{{col-end}}
 
{{col-end}}
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* [[Boolean function]]
 
* [[Boolean function]]
 
* [[Boolean-valued function]]
 
* [[Boolean-valued function]]
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* [[Differential logic]]
 
{{col-break}}
 
{{col-break}}
 
* [[Logical graph]]
 
* [[Logical graph]]
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* [[Logical matrix]]
   
* [[Minimal negation operator]]
 
* [[Minimal negation operator]]
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* [[Multigrade operator]]
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* [[Parametric operator]]
 
* [[Peirce's law]]
 
* [[Peirce's law]]
 
{{col-break}}
 
{{col-break}}
 
* [[Propositional calculus]]
 
* [[Propositional calculus]]
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* [[Sole sufficient operator]]
 
* [[Truth table]]
 
* [[Truth table]]
 
* [[Universe of discourse]]
 
* [[Universe of discourse]]
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{{col-end}}
 
{{col-end}}
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===Related articles===
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===Relational concepts===
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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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{{col-begin}}
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{{col-break}}
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* [[Continuous predicate]]
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* [[Hypostatic abstraction]]
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* [[Logic of relatives]]
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* [[Logical matrix]]
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{{col-break}}
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* [[Relation (mathematics)|Relation]]
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* [[Relation composition]]
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* [[Relation construction]]
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* [[Relation reduction]]
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{{col-break}}
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* [[Relation theory]]
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* [[Relative term]]
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* [[Sign relation]]
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* [[Triadic relation]]
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{{col-end}}
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* [http://planetmath.org/encyclopedia/DifferentialPropositionalCalculus.html Jon Awbrey, &ldquo;Differential Propositional Calculus&rdquo;]
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===Information, Inquiry===
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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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{{col-begin}}
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{{col-break}}
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* [[Inquiry]]
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* [[Dynamics of inquiry]]
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{{col-break}}
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* [[Semeiotic]]
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* [[Logic of information]]
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{{col-break}}
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* [[Descriptive science]]
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* [[Normative science]]
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{{col-break}}
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* [[Pragmatic maxim]]
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* [[Truth theory]]
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{{col-end}}
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==Document history==
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===Related articles===
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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.
      
{{col-begin}}
 
{{col-begin}}
 
{{col-break}}
 
{{col-break}}
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* [http://mywikibiz.com/Peirce's_law Peirce's Law], [http://mywikibiz.com/ MyWikiBiz]
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* [http://intersci.ss.uci.edu/wiki/index.php/Cactus_Language Cactus Language]
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* [http://beta.wikiversity.org/wiki/Peirce's_law Peirce's Law], [http://beta.wikiversity.org/ Beta Wikiversity]
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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://planetmath.org/encyclopedia/PeircesLaw.html Peirce's Law], [http://planetmath.org/ PlanetMath]
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* [http://intersci.ss.uci.edu/wiki/index.php/Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems]
 
{{col-break}}
 
{{col-break}}
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* [http://www.proofwiki.org/wiki/Peirce's_Law Peirce's Law], [http://www.proofwiki.org/ ProofWiki]
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* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_:_Introduction Differential Logic : Introduction]
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* [http://knol.google.com/k/jon-awbrey/peirce-s-law/3fkwvf69kridz/10 Peirce's Law], [http://knol.google.com/ Google Knol]
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* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Propositional_Calculus Differential Propositional Calculus]
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* [http://www.getwiki.net/-Peirce%92s_Law Peirce's Law], [http://www.getwiki.net/ GetWiki]
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* [http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_and_Dynamic_Systems_2.0 Differential Logic and Dynamic Systems]
 
{{col-break}}
 
{{col-break}}
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* [http://www.wikinfo.org/index.php?title=Peirce%92s_law&oldid=29173 Peirce's Law], [http://www.wikinfo.org/ Wikinfo]
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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://www.textop.org/wiki/index.php?title=Peirce's_law Peirce's Law], [http://www.textop.org/wiki/ Textop Wiki]
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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://en.wikipedia.org/w/index.php?title=Peirce%27s_law&oldid=60606482 Peirce's Law], [http://en.wikipedia.org/ Wikipedia]
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* [http://intersci.ss.uci.edu/wiki/index.php/Inquiry_Driven_Systems Inquiry Driven Systems : Inquiry Into Inquiry]
 
{{col-end}}
 
{{col-end}}
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<br><sharethis />
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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.
 +
 
 +
* [http://intersci.ss.uci.edu/wiki/index.php/Peirce's_law Peirce's Law], [http://intersci.ss.uci.edu/ InterSciWiki]
 +
* [http://mywikibiz.com/Peirce's_law Peirce's Law], [http://mywikibiz.com/ MyWikiBiz]
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* [http://planetmath.org/PeircesLaw Peirce's Law], [http://planetmath.org/ PlanetMath]
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* [http://wikinfo.org/w/index.php/Peirce's_law Peirce's Law], [http://www.wikinfo.org/w/ Wikinfo]
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* [http://en.wikiversity.org/wiki/Peirce's_law Peirce's Law], [http://en.wikiversity.org/ Wikiversity]
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* [http://beta.wikiversity.org/wiki/Peirce's_law Peirce's Law], [http://beta.wikiversity.org/ Wikiversity Beta]
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* [http://en.wikipedia.org/w/index.php?title=Peirce's_law&oldid=60606482 Peirce's Law], [http://en.wikipedia.org/ Wikipedia]
    
[[Category:Artificial Intelligence]]
 
[[Category:Artificial Intelligence]]
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[[Category:Charles Sanders Peirce]]
 
[[Category:Combinatorics]]
 
[[Category:Combinatorics]]
 
[[Category:Computer Science]]
 
[[Category:Computer Science]]
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[[Category:History of Logic]]
 
[[Category:History of Logic]]
 
[[Category:History of Mathematics]]
 
[[Category:History of Mathematics]]
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[[Category:Inquiry]]
 
[[Category:Knowledge Representation]]
 
[[Category:Knowledge Representation]]
 
[[Category:Logic]]
 
[[Category:Logic]]
Jon Awbrey
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