# Some difficulties for Clifton, Redhead, and Butterfield's recent proof of nonlocality

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## Abstract

Clifton, Redhead, and Butterfield have recently produced a generalization of the new non-locality proof due to Greenberger, Horne, and Zeilinger. Their proof is intended to have certain advantages over the standard Belltype arguments. One of these is that, although the proof allows for causally relevant apparatus hidden variables, it avoids the need for making certain standard locality assumptions about those parameters. On closer inspection, the part of the proof which supposedly removes the need for such assumptions is shown to rest on a fallacy. This renders the proof invalid. Two other, related difficulties are explored along the way.

## Key words

Locality nonlocality EPR Bell inequalities Greenberger*et al.*Clifton

*et al.*

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## References

- 1.R.K. Clifton, M.L.G. Redhead, and J.N. Butterfield, “Generalization of the Greenberger-Horne-Zeilinger algebraic proof of nonlocality,”
*Found. Phys.***21**, 149–84 (1991).Google Scholar - 2.D.M. Greenberger, M.A. Horne, and A. Zeilinger, “Going beyond Bell's theorem,” in M. Kafatos, ed.,
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*Op. cit.*, pp. 164–5.Google Scholar - 5.
*Op. cit.*, p. 156.Google Scholar - 6.
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*Ibid.*Google Scholar - 8.
*Op. cit.*, p. 165.Google Scholar - 9.
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## Copyright information

© Plenum Publishing Corporation 1991