Quantum mereotopology


Authors
Barry Smith
State University of New York, Buffalo
Abstract
Mereotopology faces problems when its methods are extended to deal with time and change. We offer a new solution to these problems, based on a theory of partitions of reality which allows us to simulate (and also to generalize) aspects of set theory within a mereotopological framework. This theory is extended to a theory of coarse- and fine-grained histories (or finite sequences of partitions evolving over time), drawing on machinery developed within the framework of the so-called ‘consistent histories’ interpretation of quantum mechanics.
Keywords consistent histories interpretation of quantum mechanics  Roland Omnès  mereotopology  set theory  granular partitions
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References found in this work BETA

A Unified Theory of Truth and Reference.Barry Smith & Berit Brogaard - 2000 - Logique Et Analyse 43 (169-170):49–93.
Relevance, Relatedness and Restricted Set Theory.Barry Smith - 1991 - In Georg Schurz & Georg Jakob Wilhelm Dorn (eds.), Advances in Scientific Philosophy. Amsterdam: Rodopi. pp. 45-56.

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Citations of this work BETA

Ontology.Barry Smith - 2003 - In Luciano Floridi (ed.), Blackwell Guide to the Philosophy of Computing and Information. Oxford: Blackwell. pp. 155-166.
Ontología.Barry Smith - 2007 - In G. Hurtado & O. Nudler (eds.), El mobiliario del mundo: Ensayos de ontología. Mexico City: Universidad Autónoma de México. pp. 47–71.
A Theory of Granular Partitions.Thomas Bittner & Barry Smith - 2003 - In M. Duckham, M. F. Goodchild & M. F. Worboys (eds.), Foundations of Geographic Information Science. London: Taylor & Francis. pp. 117-151.
A Unified Theory of Truth and Reference.Barry Smith & Berit Brogaard - 2000 - Logique Et Analyse 43 (169-170):49–93.
Introduction: What is Ontology For.Katherine Munn - 2008 - In Munn Katherine & Smith Barry (eds.), Applied Ontology: An Introduction. Walter de Gruyter. pp. 7-19.

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