Difference between revisions of "Logical negation"
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===Logical operators=== | ===Logical operators=== | ||
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* [[Ampheck]] | * [[Ampheck]] | ||
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* [[Boolean domain]] | * [[Boolean domain]] | ||
* [[Boolean function]] | * [[Boolean function]] | ||
+ | * [[Boolean-valued function]] | ||
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* [[Logical graph]] | * [[Logical graph]] | ||
+ | * [[Logical matrix]] | ||
+ | * [[Minimal negation operator]] | ||
+ | * [[Peirce's law]] | ||
{{col-break}} | {{col-break}} | ||
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* [[Propositional calculus]] | * [[Propositional calculus]] | ||
− | * [[ | + | * [[Truth table]] |
+ | * [[Universe of discourse]] | ||
* [[Zeroth order logic]] | * [[Zeroth order logic]] | ||
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+ | ==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. | ||
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+ | {{col-begin}} | ||
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+ | * [http://mywikibiz.com/Logical_negation Logical Negation], [http://mywikibiz.com/ MyWikiBiz] | ||
+ | * [http://beta.wikiversity.org/wiki/Logical_negation Logical Negation], [http://beta.wikiversity.org/ Beta Wikiversity] | ||
+ | * [http://www.getwiki.net/-Logical_Negation Logical Negation], [http://www.getwiki.net/ GetWiki] | ||
+ | {{col-break}} | ||
+ | * [http://www.wikinfo.org/index.php/Logical_negation Logical Negation], [http://www.wikinfo.org/ Wikinfo] | ||
+ | * [http://www.textop.org/wiki/index.php?title=Logical_negation Logical Negation], [http://www.textop.org/wiki/ Textop Wiki] | ||
+ | * [http://en.wikipedia.org/w/index.php?title=Negation&oldid=77111608 Logical Negation], [http://en.wikipedia.org/ Wikipedia] | ||
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[[Category:Computer Science]] | [[Category:Computer Science]] | ||
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[[Category:Philosophy]] | [[Category:Philosophy]] | ||
[[Category:Semiotics]] | [[Category:Semiotics]] | ||
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Revision as of 23:38, 5 April 2010
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 NOT p (also written as ~p or ¬p) is as follows:
p | ¬p |
---|---|
F | T |
T | F |
The logical negation of a proposition p is notated in different ways in various contexts of discussion and fields of application. Among these variants are the following:
Notation | Vocalization |
---|---|
\(\bar{p}\) | bar p |
\(p'\!\) | p prime, p complement |
\(!p\!\) | bang p |
Syllabus
Logical operators
Template:Col-breakTemplate:Col-breakTemplate:Col-endRelated topics
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.
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