Synthese 163 (2):199 - 215 (2008)

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Abstract
Standard derivations of the Bell inequalities assume a common common cause system that is a common screener-off for all correlations and some additional assumptions concerning locality and no-conspiracy. In a recent paper (Grasshoff et al., 2005) Bell inequalities have been derived via separate common causes assuming perfect correlations between the events. In the paper it will be shown that the assumptions of this separate-common-cause-type derivation of the Bell inequalities in the case of perfect correlations can be reduced to the assumptions of common-common-cause-system-type derivation. However, in the case of non-perfect correlations a non-reducible separate-common-cause-type derivation of some Bell-like inequalities can be given. The violation of these Bell-like inequalities proves Szabó's (2000) conjecture concerning the non-existence of a local, non-conspiratorial, separate-common-cause-model for a delta δ-neighborhood of perfect EPR correlations.
Keywords Bell inequalities  Common cause  EPR experiment
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Reprint years 2008
DOI 10.1007/s11229-007-9198-1
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References found in this work BETA

The Direction of Time.Hans Reichenbach - 1956 - Dover Publications.
On Reichenbach's Common Cause Principle and Reichenbach's Notion of Common Cause.G. Hofer-Szabo - 1999 - British Journal for the Philosophy of Science 50 (3):377-399.
Branching Space-Time Analysis of the GHZ Theorem.Nuel Belnap & László E. Szabó - 1996 - Foundations of Physics 26 (8):989-1002.
Reichenbachian Common Cause Systems.Gábor Hofer-Szabó & Miklos Redei - 2004 - International Journal of Theoretical Physics 43:1819-1826.

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Citations of this work BETA

Minimal Assumption Derivation of a Weak Clauser–Horne Inequality.Samuel Portmann & Adrian Wüthrich - 2007 - Studies in History and Philosophy of Modern Physics 38 (4):844-862.

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