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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 ${\displaystyle p~\operatorname {OR} ~q,}$ also written ${\displaystyle p\lor q,\!}$ appears below:

${\displaystyle {\text{Logical Disjunction}}\!}$

${\displaystyle p\!}$	${\displaystyle q\!}$	${\displaystyle p\lor q}$
${\displaystyle \operatorname {F} }$	${\displaystyle \operatorname {F} }$	${\displaystyle \operatorname {F} }$
${\displaystyle \operatorname {F} }$	${\displaystyle \operatorname {T} }$	${\displaystyle \operatorname {T} }$
${\displaystyle \operatorname {T} }$	${\displaystyle \operatorname {F} }$	${\displaystyle \operatorname {T} }$
${\displaystyle \operatorname {T} }$	${\displaystyle \operatorname {T} }$	${\displaystyle \operatorname {T} }$

Syllabus

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 Disjunction, InterSciWiki
• Logical Disjunction, Wikinfo
• Logical Disjunction, Wikiversity
• Logical Disjunction, Wikiversity Beta
• Logical Disjunction, Wikipedia