Decomposing Modal Quantification

Journal of Semantics 27 (4):437-527 (2010)
Abstract
Providing a compositional interpretation procedure for discourses in which descriptions of complex dependencies between interrelated objects are incrementally built is a key challenge for natural language semantics. This article focuses on the interactions between the entailment particle therefore, modalized conditionals and modal subordination. It shows that the dependencies between individuals and possibilities that emerge out of such interactions can receive a unified compositional account in a system couched in classical type logic that integrates and simplifies van den Berg's dynamic plural logic and the classical Lewis–Kratzer analysis of modal quantification. The main proposal is that modal quantification is a composite notion, to be decomposed in terms of discourse reference to quantificational dependencies that is multiply constrained by the various components that make up a modal quantifier. The system captures the truth-conditional and anaphoric components of modal quantification in an even-handed way and, unlike previous accounts, makes the propositional contents contributed by modal constructions available for subsequent discourse reference
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DOI 10.1093/jos/ffq008
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References found in this work BETA
Generalized Quantifiers and Natural Language.Jon Barwise & Robin Cooper - 1981 - Linguistics and Philosophy 4 (2):159--219.
Dynamic Predicate Logic.Jeroen Groenendijk & Martin Stokhof - 1991 - Linguistics and Philosophy 14 (1):39-100.
Modal Subordination and Pronominal Anaphora in Discourse.Craige Roberts - 1989 - Linguistics and Philosophy 12 (6):683 - 721.
Combining Montague Semantics and Discourse Representation.Reinhard Muskens - 1996 - Linguistics and Philosophy 19 (2):143 - 186.

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Citations of this work BETA
Modified Numerals as Post-Suppositions.A. Brasoveanu - 2013 - Journal of Semantics 30 (2):155-209.
A Uniform Theory of Conditionals.William B. Starr - 2014 - Journal of Philosophical Logic 43 (6):1019-1064.
How Indefinites Choose Their Scope.Adrian Brasoveanu & Donka F. Farkas - 2011 - Linguistics and Philosophy 34 (1):1-55.

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