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Foundations of Physics

, Volume 22, Issue 6, pp 807–817 | Cite as

Bell-type inequalities in the nonideal case: Proof of a conjecture of bell

  • Geoffrey Hellman
Part II. Invited Papers Dedicated To Henry Margenau

Abstract

Recently Bell has conjectured that, with “epsilonics,” one should be able to argue, à la EPR, from “almost ideal correlations” (in parallel Bohm-Bell pair experiments) to “almost determinism,” and that this should suffice to derive an approximate Bell-type inequality. Here we prove that this is indeed the case. Such an inequality—in principle testable—is derived employing only weak locality conditions, imperfect correlation, and a propensity interpretation of certain conditional probabilities. Outcome-independence (Jarrett's “completeness” condition), hence “factorability” of joint probabilities, is not assumed, but rather an approximate form of this is derived. An alternative proof to the original one of Bell [1971] constraining stochastic, contextual hidden-variables theories is thus provided.

Keywords

Locality Condition Conditional Probability Joint Probability Alternative Proof Weak Locality 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • Geoffrey Hellman
    • 1
  1. 1.Department of PhilosophyUniversity of MinnesotaMinneapolis

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