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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. ( 2012), additionally annotated with prepositional senses using the Semantic Network of Adposition and Case Supersenses (SNACS) scheme proposed in Schneider et al. ( 2018, 2020). 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.
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. ( 2012), additionally annotated with prepositional senses using the Semantic Network of Adposition and Case Supersenses (SNACS) scheme proposed in Schneider et al. ( 2018, 2020). 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.
This article reviews the set of possible paths from a semantics based on Simple Type Theories (STTs) toward one based on Rich Type Theories (RTTs) and the motivations behind the move from one to the other. The main elements of this review are threefold. First, it provides a systematic overview of different STTs, including options for what to include as members of the set of basic types, and whether to assume type constructors additional to the one for constructing functional types. Second, this review discusses the main differences between STTs and RTTs, namely, that in RTTs but not in STTs, types are part of the object language. That is, one can refer to and reason with and about types. In turn, this makes available an alternative account of propositions to the one assumed in semantics in the Frege–Church–Montague tradition: Instead of being characterized as sets of possible worlds, propositions can be treated themselves as types, that is, as structured semantic objects. Third and finally, this review provides an outline of some of the main applications of RTTs, including hyperintensionality, quantification, anaphora, polysemy, and modification. Expected final online publication date for the Annual Review of Linguistics, Volume 10 is January 2024. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.
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