Not few but all quantifiers can be negated: towards a referentially transparent semantics of quantified noun phrases

TitreNot few but all quantifiers can be negated: towards a referentially transparent semantics of quantified noun phrases
Publication TypeArticle dans des actes
Année de la conférence2019
AuthorsLücking, Andy
EditorGinzburg, Jonathan
Nom de la conférenceProceedings of the Amsterdam Colloquium 2019
Series TitleAC'19
Pagination269-278
Abstract

The main concern of this paper is to introduce not as a noun phrase negation operator. It is used in order to compositionally derive structures such as not(many)(bicycles). However, noun phrase negation is part of a much larger account of plural semantics and quantification, guided by the notion of referential transparency. Therefore the paper splits into two parts: the first part gives a minimal background on a referential transparent NP semantics. A foundation of the semantics of plural count nouns in terms of ordered set bipartitions is given. This includes as a side effect a significant reduction in the number of possible quantifier denotations and a derivation of the conservativity universal. The second part deals with not and how it interacts with an negation and anaphoric accessibility.

URLhttp://events.illc.uva.nl/AC/AC2019/
Refereed DesignationRefereed