Difference between revisions of "Logical disjunction"

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'''Logical disjunction''', also called '''logical alternation''', is an operation on two logical values, typically the values of two [[proposition]]s, that produces a value of ''false'' if and only if both of its operands are false.
 
'''Logical disjunction''', also called '''logical alternation''', is an operation on two logical values, typically the values of two [[proposition]]s, that produces a value of ''false'' if and only if both of its operands are false.
  
The [[truth table]] of <math>p ~\operatorname{OR}~ q</math> (also written as <math>p \lor q\!</math>) is as follows:
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The [[truth table]] of <math>p ~\operatorname{OR}~ q,</math> also written <math>p \lor q,\!</math> appears below:
  
 
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Revision as of 11:18, 15 May 2012

This page belongs to resource collections on Logic and Inquiry.

Logical disjunction, also called logical alternation, is an operation on two logical values, typically the values of two propositions, that produces a value of false if and only if both of its operands are false.

The truth table of \(p ~\operatorname{OR}~ q,\) also written \(p \lor q,\!\) appears below:


\(\text{Logical Disjunction}\!\)
\(p\!\) \(q\!\) \(p \lor q\)
\(\operatorname{F}\) \(\operatorname{F}\) \(\operatorname{F}\)
\(\operatorname{F}\) \(\operatorname{T}\) \(\operatorname{T}\)
\(\operatorname{T}\) \(\operatorname{F}\) \(\operatorname{T}\)
\(\operatorname{T}\) \(\operatorname{T}\) \(\operatorname{T}\)


Syllabus

Focal nodes

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Peer nodes

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Logical operators

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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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