Locative and Directional Prepositions in Conceptual Spaces: The Role of Polar Convexity

J. Zwarts, Peter Gärdenfors

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

We approach the semantics of prepositions from the perspective of conceptual spaces. Focusing on purely spatial locative and directional prepositions, we analyze both types of prepositions in terms of polar coordinates instead of Cartesian coordinates. This makes it possible to demonstrate that the property of convexity holds quite generally in the domain of prepositions of location and direction, supporting the important role that this property plays in conceptual spaces.
Original languageEnglish
Pages (from-to)109-138
JournalJournal of Logic, Language and Information
Volume25
Issue number1
Early online date22 Sept 2015
DOIs
Publication statusPublished - 2016

Keywords

  • Prepositions
  • Polar coordinates
  • Conceptual spaces
  • Convexity

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