Presupposition Incorporation in Adverbial Quantifier Domains

Abstract

This paper proposes a novel solution to the problem of determining the domain of an adverbial quantifier. We observe that adverbial and nominal quantification differ with respect to their ability to incorporate presuppositions into their domain restrictions, and we use that observation to motivate an account of qadverbs as quantifiers over polar alternatives. Along the way to explaining incorporation, we also provide an analysis of presupposing achievement verbs that clarifies the connection between presupposed and asserted situations.