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disjunction (Definition)

A disjunction is true if either of its parameters (called disjuncts) are true. Disjunction does not correspond to “or” in English (see exclusive or.) Disjunction uses the symbol $ \lor$ or sometimes $ +$ when taken in algebraic context. Hence, disjunction of $ a$ and $ b$ would be written

$\displaystyle a \lor b $
or
$\displaystyle a + b $
The truth table for disjunction is
$ a$ $ b$ $ a \lor b$
F F F
F T T
T F T
T T T



"disjunction" is owned by akrowne.
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See Also: conjunction, propositional logic

Other names:  logical or, disjunctive truth function
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Cross-references: truth table, algebraic, exclusive or, parameters
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This is version 9 of disjunction, born on 2001-10-26, modified 2005-02-28.
Object id is 536, canonical name is Disjunction.
Accessed 8629 times total.

Classification:
AMS MSC03B05 (Mathematical logic and foundations :: General logic :: Classical propositional logic)

Pending Errata and Addenda
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