Quantum Mereotopology View Full Text


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Article Info

DATE

2002-09

AUTHORS

Barry Smith, Berit Brogaard

ABSTRACT

While mereotopology – the theory of boundaries, contact and separation built up on a mereological foundation – has found fruitful applications in the realm of qualitative spatial reasoning, it faces problems when its methods are extended to deal with those varieties of spatial and non-spatial reasoning which involve a factor of granularity. This is because granularity cannot easily be represented within a mereology-based framework. We sketch how this problem can be solved by means of a theory of granular partitions, a theory general enough to comprehend not only the familiar sorts of spatial partitions but also a range of coarse-grained partitions of other, non-spatial sorts. We then show how these same methods can be extended to apply to finite sequences of granular partitions evolving over time, or to what we shall call coarse- and fine-grained histories. More... »

PAGES

153-175

References to SciGraph publications

  • 1984-07. Consistent histories and the interpretation of quantum mechanics in JOURNAL OF STATISTICAL PHYSICS
  • 2001-11-13. A Taxonomy of Granular Partitions in SPATIAL INFORMATION THEORY
  • 1999-12-16. Granulation for Graphs in SPATIAL INFORMATION THEORY. COGNITIVE AND COMPUTATIONAL FOUNDATIONS OF GEOGRAPHIC INFORMATION SCIENCE
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  • 1997. A qualitative coordinate language of location of figures within the ground in SPATIAL INFORMATION THEORY A THEORETICAL BASIS FOR GIS
  • 1999-06-25. Generalizing Graphs Using Amalgamation and Selection in ADVANCES IN SPATIAL DATABASES
  • 1999-12-16. The Mereotopology of Discrete Space in SPATIAL INFORMATION THEORY. COGNITIVE AND COMPUTATIONAL FOUNDATIONS OF GEOGRAPHIC INFORMATION SCIENCE
  • 1993-12. The consistency of consistent histories: A reply to d'Espagnat in FOUNDATIONS OF PHYSICS
  • 1998-02. A general framework for time granularity and its application to temporal reasoning in ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE
  • 2003-02-11. Ontological Analysis of Taxonomic Relationships in CONCEPTUAL MODELING — ER 2000
  • 1895-11. Beiträge zur Begründung der transfiniten Mengenlehre in MATHEMATISCHE ANNALEN
  • 1999. The Honeycomb Model of Spatio-Temporal Partitions in SPATIO-TEMPORAL DATABASE MANAGEMENT
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1023/a:1015860121607

    DOI

    http://dx.doi.org/10.1023/a:1015860121607

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1045993069


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