Difference between revisions of "Logical negation"
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<font size="3">☞</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]]. | <font size="3">☞</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]]. | ||
− | '''Logical negation''' is an | + | '''Logical negation''' is an operation on one logical value, typically the value of a proposition, that produces a value of ''true'' when its operand is false and a value of ''false'' when its operand is true. |
The [[truth table]] of <math>\operatorname{NOT}~ p,</math> also written <math>\lnot p,\!</math> appears below: | The [[truth table]] of <math>\operatorname{NOT}~ p,</math> also written <math>\lnot p,\!</math> appears below: | ||
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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=== | ||
− | + | * [http://intersci.ss.uci.edu/wiki/index.php/Logical_negation Logical Negation @ InterSciWiki] | |
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* [http://mywikibiz.com/Logical_negation Logical Negation @ MyWikiBiz] | * [http://mywikibiz.com/Logical_negation Logical Negation @ MyWikiBiz] | ||
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* [http://ref.subwiki.org/wiki/Logical_negation Logical Negation @ Subject Wikis] | * [http://ref.subwiki.org/wiki/Logical_negation Logical Negation @ Subject Wikis] | ||
+ | * [http://en.wikiversity.org/wiki/Logical_negation Logical Negation @ Wikiversity] | ||
* [http://beta.wikiversity.org/wiki/Logical_negation Logical Negation @ Wikiversity Beta] | * [http://beta.wikiversity.org/wiki/Logical_negation Logical Negation @ Wikiversity Beta] | ||
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===Logical operators=== | ===Logical operators=== | ||
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===Related articles=== | ===Related articles=== | ||
− | * [http:// | + | {{col-begin}} |
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− | * [http:// | + | * [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:// | + | * [http://intersci.ss.uci.edu/wiki/index.php/Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems] |
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− | * [http:// | + | * [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:// | + | * [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:// | + | * [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:// | + | * [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. | ||
− | + | * [http://intersci.ss.uci.edu/wiki/index.php/Logical_negation Logical Negation], [http://intersci.ss.uci.edu/ InterSciWiki] | |
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* [http://mywikibiz.com/Logical_negation Logical Negation], [http://mywikibiz.com/ MyWikiBiz] | * [http://mywikibiz.com/Logical_negation Logical Negation], [http://mywikibiz.com/ MyWikiBiz] | ||
+ | * [http://wikinfo.org/w/index.php/Logical_negation Logical Negation], [http://wikinfo.org/w/ Wikinfo] | ||
+ | * [http://en.wikiversity.org/wiki/Logical_negation Logical Negation], [http://en.wikiversity.org/ Wikiversity] | ||
* [http://beta.wikiversity.org/wiki/Logical_negation Logical Negation], [http://beta.wikiversity.org/ Wikiversity Beta] | * [http://beta.wikiversity.org/wiki/Logical_negation Logical Negation], [http://beta.wikiversity.org/ Wikiversity Beta] | ||
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* [http://en.wikipedia.org/w/index.php?title=Logical_negation&oldid=77111608 Logical Negation], [http://en.wikipedia.org/ Wikipedia] | * [http://en.wikipedia.org/w/index.php?title=Logical_negation&oldid=77111608 Logical Negation], [http://en.wikipedia.org/ Wikipedia] | ||
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[[Category:Inquiry]] | [[Category:Inquiry]] |
Latest revision as of 14:16, 5 November 2015
☞ This page belongs to resource collections on Logic and Inquiry.
Logical negation is an operation on one logical value, typically the value of a proposition, that produces a value of true when its operand is false and a value of false when its operand is true.
The truth table of \(\operatorname{NOT}~ p,\) also written \(\lnot p,\!\) appears below:
\(p\!\) | \(\lnot p\!\) |
\(\operatorname{F}\) | \(\operatorname{T}\) |
\(\operatorname{T}\) | \(\operatorname{F}\) |
The negation of a proposition \(p\!\) may be found notated in various ways in various contexts of application, often merely for typographical convenience. Among these variants are the following:
\(\text{Notation}\!\) | \(\text{Vocalization}\!\) |
\(\bar{p}\!\) | \(p\!\) bar |
\(\tilde{p}\!\) | \(p\!\) tilde |
\(p'\!\) | \(p\!\) prime \(p\!\) complement |
\(!p\!\) | bang \(p\!\) |
Syllabus
Focal nodes
Peer nodes
- Logical Negation @ InterSciWiki
- Logical Negation @ MyWikiBiz
- Logical Negation @ Subject Wikis
- Logical Negation @ Wikiversity
- Logical Negation @ Wikiversity Beta
Logical operators
Template:Col-breakTemplate:Col-breakTemplate:Col-endRelated topics
- Propositional calculus
- Sole sufficient operator
- Truth table
- Universe of discourse
- Zeroth order logic
Relational concepts
Information, Inquiry
Related articles
- Differential Logic : Introduction
- Differential Propositional Calculus
- Differential Logic and Dynamic Systems
- Prospects for Inquiry Driven Systems
- Introduction to Inquiry Driven Systems
- Inquiry Driven Systems : Inquiry Into Inquiry
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.
- Logical Negation, InterSciWiki
- Logical Negation, MyWikiBiz
- Logical Negation, Wikinfo
- Logical Negation, Wikiversity
- Logical Negation, Wikiversity Beta
- Logical Negation, Wikipedia