Quantum mereotopology

Annals of Mathematics and Artificial Intelligence 36 (1):153-175 (2002)
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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.

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Barry Smith
State University of New York, Buffalo

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