* Inclusive Or (Mathematics) - Definition - Lexicon & Encyclopedia

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Inclusive or

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Inclusive orA for which either or both statements may be true.For example, the use of the word or in "A triangle can be defined as a polygon with three sides or as a polygon with three " is inclusive. Either or both options can be true. [ ]

inclusive or: A relation between two sentences where they cannot be both false. (However, they can both be true, or that only one of them is true.) As opposed to , where exactly one of the two statements can be true only.incommensurable: A relation between 2 s where their ratio is irrational. [ ]

Note that for us, or is the inclusive or (and not the sometimes used exclusive or) meaning that \(P \vee Q\) is in fact true when both \(P\) and \(Q\) are true. As for the other connectives, "and" behaves as you would expect, as does . [ ]

As in the of , the definitions may be either . For example, may be defined inclusively as a with a pair of parallel opposite sides, or exclusively as a quadrilateral with exactly one such pair. [ ]

Given some "primitive " such as PM's primitives S1 V S2 [inclusive OR], ~S (negation) one is forced to define the in terms of these primitive notions. [ ]

This use of the word "or" is technically called because it includes the case in which both A and B occur. If we included only the first two cases, then we would be using an exclusive or. [ ]

See also: Blaise Pascal, Quotient rule, Hamiltonian, Monomorph, Response surface designs Daily News: Home, Public life, World, Economy, Culture, Opinion, Tabloid, Sport, Science, Technology, Travel, Car, Home, Lifestyle

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