Logical disjunction

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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}


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