Property composition in Healey's interpretation of quantum mechanics
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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.
Key wordsmodal interpretation composite property projection operator tensor-product Hilbert space
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