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scope

The part of a sentence that a connective applies to.

The scope of a connective is the smallest well-formed part of the sentence that contains that connective together with the sentence or sentences it joins. Brackets mark scope, and negation applies to the smallest complete sentence right after it.

Examples

  • In ¬(P ∧ Q) the negation's scope is the whole sentence; in ¬P ∧ Q it is only ¬P.

See also

main connective precedence convention
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