Difference between revisions of "Logical negation"
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The [[truth table]] of '''NOT p''' (also written as '''~p''' or '''¬p''') is as follows: | The [[truth table]] of '''NOT p''' (also written as '''~p''' or '''¬p''') is as follows: | ||
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:40%" | {| align="center" border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:40%" | ||
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| T || F | | T || F | ||
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<br> | <br> | ||
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: | 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: | ||
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; width:40%" | {| align="center" border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; width:40%" | ||
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| bang ''p'' | | bang ''p'' | ||
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<br> | <br> | ||
Revision as of 21:58, 25 May 2009
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 |