Vector space semantics: A model-theoretic analysis of locative prepositions [Book Review]

This paper introduces a compositional semantics of locativeprepositional phrases which is based on a vector space ontology.Model-theoretic properties of prepositions like monotonicity andconservativity are defined in this system in a straightforward way.These notions are shown to describe central inferences with spatialexpressions and to account for the grammaticality of prepositionmodification. Model-theoretic constraints on the set of possibleprepositions in natural language are specified, similar to the semanticuniversals of Generalized Quantifier Theory.
Keywords generalized quantifier  locative  monotonicity  natural language  preposition  semantics  vector
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Reprint years 2004
DOI 10.1023/A:1008384416604
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The Epistemology of Geometry I: The Problem of Exactness.Anne Newstead & Franklin James - 2010 - Proceedings of the Australasian Society for Cognitive Science 2009.
Cross-Categorial Restrictions on Measure Phrase Modification.Yoad Winter - 2004 - Linguistics and Philosophy 28 (2):233 - 267.

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