exclusive/inclusive disjunction

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The disjunction of two propositions, p or q, is represented in logic by pq. This is evaluated as true if both p and q are true, and is called inclusive disjunction (‘vel’). A different notion, exclusive disjunction, is defined true only when exactly one of p, q is true, and as false if they are both true. It has been contentious whether in natural language ‘or’ has an exclusive reading, or whether the appearance is the result of implicature.

Subjects: Philosophy.

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