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Property composition in Healey's interpretation of quantum mechanics

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Foundations of Physics Letters

Abstract

I show that on Richard Healey's interpretation of quantum mechanics, a composite property is possessed if and only if each of its factors is possessed. This result has a number of agreeable consequences, the foremost being that it exempts Healey's interpretation from the Decomposition Problem, a problem afflicting some rival interpretations. At the heart of my argument is a purely mathematical theorem, which I prove, concerning projection operators in tensorproduct Hilbert spaces.

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Reeder, N. Property composition in Healey's interpretation of quantum mechanics. Found Phys Lett 8, 497–522 (1995). https://doi.org/10.1007/BF02186243

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  • DOI: https://doi.org/10.1007/BF02186243

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