Quantity implicatures
Quantity implicatures
Quantity implicatures
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A problem with n-ary disjunctions (n ≥ 1)Idea #1:Generalise “or” to an n-ary connective:or(φ 1 , . . . , φ n ) means that at least one of φ 1 , . . . , φ n is true.Ditto for “and”:and(φ 1 , . . . , φ n ) means that all of φ 1 , . . . , φ n are true.But this yields inferences that are too weak:“A, B, or C” implicates merely that Bel S (¬and(A, B, C)),i.e., S believes that not all of A, B, and C are true.<strong>Quantity</strong> <strong>implicatures</strong>
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