Representing Concepts in Time

  • Authors:
  • Martin Raubal

  • Affiliations:
  • Department of Geography, University of California, Santa Barbara, Santa Barbara, U.S.A. CA 93106

  • Venue:
  • Proceedings of the international conference on Spatial Cognition VI: Learning, Reasoning, and Talking about Space
  • Year:
  • 2008

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Abstract

People make use of concepts in all aspects of their lives. Concepts are mental entities, which structure our experiences and support reasoning in the world. They are usually regarded as static, although there is ample evidence that they change over time with respect to structure, content, and relation to real-world objects and processes. Recent research considers concepts as dynamical systems, emphasizing this potential for change. In order to analyze the alteration of concepts in time, a formal representation of this process is necessary. This paper proposes an algebraic model for representing dynamic conceptual structures, which integrates two theories from geography and cognitive science, i.e., time geography and conceptual spaces. Such representation allows for investigating the development of a conceptual structure along space-time paths and serves as a foundation for querying the structure of concepts at a specific point in time or for a time interval. The geospatial concept of `landmark' is used to demonstrate the formal specifications.