Logical disjunction

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 OR q (also written as p ∨ q) is as follows:

Logical Disjunction

p	q	p ∨ q
F	F	F
F	T	T
T	F	T
T	T	T

See also

Logical operators

Exclusive disjunction Logical conjunction Logical disjunction Logical equality

Logical implication Logical NAND Logical NNOR Negation

Related topics

Ampheck Boolean algebra Boolean domain Boolean function

Boolean logic Laws of Form Logic gate Logical graph

Peirce's law Propositional calculus Sole sufficient operator Zeroth order logic

Aficionados

• See Talk:Logical disjunction for discussions/comments regarding this article.
• See Logical disjunction/Aficionados for those who have listed Logical disjunction as an interest.
• See Talk:Logical disjunction/Aficionados for discussions regarding this interest.

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