A disjunction is a compound statement using the word or. The disjunction of two statements p and q can also be written using the symbol ∨.
Words: Symbols: porqp∨q
The statements that make up a disjunction are sometimes called disjuncts.
disjunctpItisrainingordisjunctqitissunny.p∨q
A disjunction is true when at least one of the disjuncts is true. In the case where all disjuncts are false, the disjunction is false. This can be represented using a truth table.
Disjunction
p
q
p∨q
T
T
T
T
F
T
F
T
T
F
F
F
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