Implicatures of modified numerals: quantity or quality?
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CitationE Coppock, Floris Roelofsen, Ivano Ciardelli. 2017. "Implicatures of modified numerals: Quantity or Quality?." Proceedings of Sinn und Bedeutung 21
We propose a new analysis of modified numerals that allows us to: (i) predict ignorance with respect to the prejacent of at least (and thereby avoid to Bernard Schwarz's recent criticism of Coppock and Brochhagen 2013), (ii) get a three-way contrast between superlative modifiers, comparative modifiers, and numerals, without appeal to a two-sided analysis of numerals, and (iii) avoid the prediction that at least should produce quantity implciatures when only is not a grammatical alternative. With it, we reconcile Westera and Brasoveanu's (2014) findings with the achievements of the Coppock and Brochhagen account, bring that work in line with recent theorizing in inquisitive semantics using downward-closed possibilities, and show that inquisitive sincerity can interact with Horn-based quantity in a non-trivial way, something that may be fruitful to consider in other domains as well.