When maximality is not maximally informative: A compositional analysis of the depth-charge illusion

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**Summary:** Building on existing proposals for negative antonyms (von Stechow 1984), intensional comparatives (Meier 2000, 2003) and monotonicity in comparison constructions (Beck & Rullmann 1999, Beck 2013), we develop a compositional analysis of so-called depth-charge sentences like *No head injury is too insignificant to be ignored*. The alleged illusion derives from the interaction of maximal informativity with the scalar properties of the degree set that underlies the standard of the comparison.

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