Difference between revisions of "Logical conjunction"

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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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'''Logical conjunction''' is an operation on two logical values, typically the values of two [[proposition]]s, that produces a value of ''true'' if and only if both of its operands are true.
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'''Logical conjunction''' is an operation on two logical values, typically the values of two propositions, that produces a value of ''true'' if and only if both of its operands are true.
  
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The [[truth table]] of <math>p ~\operatorname{AND}~ q</math> (also written as <math>p \land q\!</math> or <math>p \cdot q\!</math>) is as follows:
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The [[truth table]] of <math>p ~\operatorname{AND}~ q,</math> also written <math>p \land q~\!</math> or <math>p \cdot q,\!</math> appears below:
  
 
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* [[Inquiry Live]]
 
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* [[Logic Live]]
 
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===Peer nodes===
 
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* [http://intersci.ss.uci.edu/wiki/index.php/Logical_conjunction Logical Conjunction @ InterSciWiki]
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* [http://mywikibiz.com/Logical_conjunction Logical Conjunction @ MyWikiBiz]
 
* [http://mywikibiz.com/Logical_conjunction Logical Conjunction @ MyWikiBiz]
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* [http://intersci.ss.uci.edu/wiki/index.php/Logical_conjunction Logical Conjunction @ InterSci Wiki]
 
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* [http://wiki.oercommons.org/mediawiki/index.php/Logical_conjunction Logical Conjunction @ OER Commons]
 
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* [http://p2pfoundation.net/Logical_Conjunction Logical Conjunction @ P2P Foundation]
 
 
* [http://ref.subwiki.org/wiki/Logical_conjunction Logical Conjunction @ Subject Wikis]
 
* [http://ref.subwiki.org/wiki/Logical_conjunction Logical Conjunction @ Subject Wikis]
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* [http://en.wikiversity.org/wiki/Logical_conjunction Logical Conjunction @ Wikiversity]
 
* [http://beta.wikiversity.org/wiki/Logical_conjunction Logical Conjunction @ Wikiversity Beta]
 
* [http://beta.wikiversity.org/wiki/Logical_conjunction Logical Conjunction @ Wikiversity Beta]
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===Logical operators===
 
===Logical operators===
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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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* [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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* [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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* [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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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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* [http://intersci.ss.uci.edu/wiki/index.php/Logical_conjunction Logical Conjunction], [http://intersci.ss.uci.edu/ InterSciWiki]
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* [http://mywikibiz.com/Logical_conjunction Logical Conjunction], [http://mywikibiz.com/ MyWikiBiz]
 
* [http://mywikibiz.com/Logical_conjunction Logical Conjunction], [http://mywikibiz.com/ MyWikiBiz]
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* [http://wikinfo.org/w/index.php/Logical_conjunction Logical Conjunction], [http://wikinfo.org/w/ Wikinfo]
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* [http://en.wikiversity.org/wiki/Logical_conjunction Logical Conjunction], [http://en.wikiversity.org/ Wikiversity]
 
* [http://beta.wikiversity.org/wiki/Logical_conjunction Logical Conjunction], [http://beta.wikiversity.org/ Wikiversity Beta]
 
* [http://beta.wikiversity.org/wiki/Logical_conjunction Logical Conjunction], [http://beta.wikiversity.org/ Wikiversity Beta]
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* [http://getwiki.net/-Logical_Conjunction Logical Conjunction], [http://getwiki.net/ GetWiki]
 
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* [http://wikinfo.org/index.php/Logical_conjunction Logical Conjunction], [http://wikinfo.org/ Wikinfo]
 
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* [http://textop.org/wiki/index.php?title=Logical_conjunction Logical Conjunction], [http://textop.org/wiki/ Textop Wiki]
 
 
* [http://en.wikipedia.org/w/index.php?title=Logical_conjunction&oldid=75153420 Logical Conjunction], [http://en.wikipedia.org/ Wikipedia]
 
* [http://en.wikipedia.org/w/index.php?title=Logical_conjunction&oldid=75153420 Logical Conjunction], [http://en.wikipedia.org/ Wikipedia]
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[[Category:Inquiry]]
 
[[Category:Inquiry]]

Latest revision as of 02:00, 31 October 2015

☞ This page belongs to resource collections on Logic and Inquiry.

Logical conjunction is an operation on two logical values, typically the values of two propositions, that produces a value of true if and only if both of its operands are true.

The truth table of \(p ~\operatorname{AND}~ q,\) also written \(p \land q~\!\) or \(p \cdot q,\!\) appears below:


\(\text{Logical Conjunction}\!\)
\(p\!\) \(q\!\) \(p \land q\)
\(\operatorname{F}\) \(\operatorname{F}\) \(\operatorname{F}\)
\(\operatorname{F}\) \(\operatorname{T}\) \(\operatorname{F}\)
\(\operatorname{T}\) \(\operatorname{F}\) \(\operatorname{F}\)
\(\operatorname{T}\) \(\operatorname{T}\) \(\operatorname{T}\)


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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.

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