Foundations of Physics Letters

, Volume 8, Issue 6, pp 497–522 | Cite as

Property composition in Healey's interpretation of quantum mechanics

  • Nick Reeder


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 words

modal interpretation composite property projection operator tensor-product Hilbert space 


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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • Nick Reeder
    • 1
  1. 1.Philosophy DepartmentUniversity of MinnesotaMinneapolis

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