Lexicon and Logic: A Corpus-Based Investigation Into a Connection Between Prepositional Senses and Quantifier Scope

Previous research has indicated that abstract grammatical rules and forms fall short of predicting quantifier scope and that lexical/pragmatic knowledge plays a significant part in quantifier scope disambiguation (QSD). More recent works have argued that world knowledge in the form of relations among objects may be salient to QSD. This paper contributes to this line of research by providing support to the claim that there is a connection between our lexical knowledge about preposition meanings and quantifier scope. More specifically, we propose that certain prepositional senses encode dependency relations that have an effect on scope-taking preferences. For example, the preposition of expressing 'part-whole sense' contributes to our choice of the inverse scope reading for the construction a day of every month by introducing a dependency between wholes (months) and their respective parts (days). Quantifying over this dependency yields the inverse scope reading: for every month, there is a different day that belongs to it (every month > a day). Furthermore, universal quantification in locative and temporal prepositional phrases tends to support inverse scope. For example, the locative preposition on - as in a store on each side of the street - implies 'disjointness' (objects do not occupy more than one place at a time), and hence can be interpreted as a dependency between each side of the street and the respective stores located on them. Quantifying over this dependency yields the inverse scope reading: for each side of the street, there is a different store located on it (each side of the street > a store). For studying the connection between prepositional senses and quantifier scope in the wild, we use a scope-disambiguated corpus created by AnderBois et al. ( ), additionally annotated with prepositional senses using the Semantic Network of Adposition and Case Supersenses (SNACS) scheme proposed in Schneider et al. ( ). The results of the corpus study combined with psycholinguistic experiments support the claim made here that certain prepositional senses are strong predictors of quantifier scope.