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Minimal negation operator (view source)

Revision as of 16:36, 4 December 2013

447 bytes removed ,  16:36, 4 December 2013
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<font size="3">&#9758;</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]].
 
<font size="3">&#9758;</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]].
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A '''minimal negation operator''' <math>(\texttt{Mno})</math> is a logical connective that says “just one false” of its logical arguments.  
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A '''minimal negation operator''' <math>(\texttt{Mno})</math> is a logical connective that says &ldquo;just one false&rdquo; of its logical arguments.  
    
If the list of arguments is empty, as expressed in the form <math>\texttt{Mno}(),</math> then it cannot be true that exactly one of the arguments is false, so <math>\texttt{Mno}() = \texttt{False}.</math>
 
If the list of arguments is empty, as expressed in the form <math>\texttt{Mno}(),</math> then it cannot be true that exactly one of the arguments is false, so <math>\texttt{Mno}() = \texttt{False}.</math>
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<br>
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:90%"
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:70%"
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|+ <math>\text{Table 3.}~~\text{Logical Boundaries and Their Complements}</math>
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|+ <math>\text{Table 3.} ~~ \text{Logical Boundaries and Their Complements}\!</math>
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|- style="background:#f0f0ff"
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|- style="background:ghostwhite"
 
| <math>\mathcal{L}_1</math>
 
| <math>\mathcal{L}_1</math>
 
| <math>\mathcal{L}_2</math>
 
| <math>\mathcal{L}_2</math>
 
| <math>\mathcal{L}_3</math>
 
| <math>\mathcal{L}_3</math>
 
| <math>\mathcal{L}_4</math>
 
| <math>\mathcal{L}_4</math>
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|- style="background:#f0f0ff"
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|- style="background:ghostwhite"
 
| &nbsp;
 
| &nbsp;
 
| align="right" | <math>p\colon\!</math>
 
| align="right" | <math>p\colon\!</math>
 
| <math>1~1~1~1~0~0~0~0</math>
 
| <math>1~1~1~1~0~0~0~0</math>
 
| &nbsp;
 
| &nbsp;
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|- style="background:#f0f0ff"
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|- style="background:ghostwhite"
 
| &nbsp;
 
| &nbsp;
 
| align="right" | <math>q\colon\!</math>
 
| align="right" | <math>q\colon\!</math>
 
| <math>1~1~0~0~1~1~0~0</math>
 
| <math>1~1~0~0~1~1~0~0</math>
 
| &nbsp;
 
| &nbsp;
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|- style="background:#f0f0ff"
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|- style="background:ghostwhite"
 
| &nbsp;
 
| &nbsp;
 
| align="right" | <math>r\colon\!</math>
 
| align="right" | <math>r\colon\!</math>
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* [http://intersci.ss.uci.edu/wiki/index.php/Minimal_negation_operator Minimal Negation Operator @ InterSciWiki]
 
* [http://mywikibiz.com/Minimal_negation_operator Minimal Negation Operator @ MyWikiBiz]
 
* [http://mywikibiz.com/Minimal_negation_operator Minimal Negation Operator @ MyWikiBiz]
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* [http://intersci.ss.uci.edu/wiki/index.php/Minimal_negation_operator Minimal Negation Operator @ InterSciWiki]
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* [http://wiki.oercommons.org/index.php/Minimal_negation_operator Minimal Negation Operator @ OER Commons]
   
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* [http://p2pfoundation.net/Minimal_Negation_Operator Minimal Negation Operator @ P2P Foundation]
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* [http://beta.wikiversity.org/wiki/Minimal_negation_operator Minimal Negation Operator @ Wikiversity Beta]
 
* [http://ref.subwiki.org/wiki/Minimal_negation_operator Minimal Negation Operator @ Subject Wikis]
 
* [http://ref.subwiki.org/wiki/Minimal_negation_operator Minimal Negation Operator @ Subject Wikis]
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* [http://beta.wikiversity.org/wiki/Minimal_negation_operator Minimal Negation Operator @ Wikiversity Beta]
   
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===Related articles===
 
===Related articles===
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Semiotic_Information Jon Awbrey, &ldquo;Semiotic Information&rdquo;]
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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://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/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/Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems]
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{{col-break}}
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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/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/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_and_Dynamic_Systems_2.0 Differential Logic and Dynamic Systems]
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{{col-break}}
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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/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://planetmath.org/encyclopedia/DifferentialPropositionalCalculus.html Jon Awbrey, &ldquo;Differential Propositional Calculus&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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{{col-end}}
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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;]
      
==Document history==
 
==Document history==
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* [http://mywikibiz.com/Minimal_negation_operator Minimal Negation Operator], [http://mywikibiz.com/ MyWikiBiz]
 
* [http://mywikibiz.com/Minimal_negation_operator Minimal Negation Operator], [http://mywikibiz.com/ MyWikiBiz]
 
* [http://planetmath.org/MinimalNegationOperator Minimal Negation Operator], [http://planetmath.org/ PlanetMath]
 
* [http://planetmath.org/MinimalNegationOperator Minimal Negation Operator], [http://planetmath.org/ PlanetMath]
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* [http://proofwiki.org/wiki/Definition:Minimal_Negation_Operator Minimal Negation Operator], [http://proofwiki.org/ ProofWiki]
   
* [http://beta.wikiversity.org/wiki/Minimal_negation_operator Minimal Negation Operator], [http://beta.wikiversity.org/ Wikiversity Beta]
 
* [http://beta.wikiversity.org/wiki/Minimal_negation_operator Minimal Negation Operator], [http://beta.wikiversity.org/ Wikiversity Beta]
 
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* [http://getwiki.net/-Minimal_Negation_Operator Minimal Negation Operator], [http://getwiki.net/ GetWiki]
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* [http://web.archive.org/web/20070703045600/http://wikinfo.org/index.php/Minimal_negation_operator Minimal Negation Operator], [http://wikinfo.org/ Wikinfo]
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* [http://wikinfo.org/index.php/Minimal_negation_operator Minimal Negation Operator], [http://wikinfo.org/ Wikinfo]
   
* [http://textop.org/wiki/index.php?title=Minimal_negation_operator Minimal Negation Operator], [http://textop.org/wiki/ Textop Wiki]
 
* [http://textop.org/wiki/index.php?title=Minimal_negation_operator Minimal Negation Operator], [http://textop.org/wiki/ Textop Wiki]
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* [http://en.wikipedia.org/w/index.php?title=Minimal_negation_operator&oldid=75156728 Minimal Negation Operator], [http://en.wikipedia.org/ Wikipedia]
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* [http://web.archive.org/web/20060913000000/http://en.wikipedia.org/wiki/Minimal_negation_operator Minimal Negation Operator], [http://en.wikipedia.org/ Wikipedia]
 
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