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Modified Numerals as Post-Suppositions
2012
Journal of Semantics
The paper provides a compositional account of cumulative readings with non-increasing modified numerals (a.k.a. van Benthem's puzzle), e.g., Exactly 3 boys saw exactly 5 movies. The main proposal is that modified numerals make two kinds of semantic contributions. Their asserted / at-issue contribution is a maximization operator that introduces the maximal set of entities that satisfies their restrictor and nuclear scope. The second contribution is a postsupposition, i.e., a cardinality
doi:10.1093/jos/ffs003
fatcat:hlzi5hzmufaqdc3uaqxnhfm6nm