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

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Abstract
Standard derivations of the Bell inequalities assume a common-commoncause-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., "The British Journal for the Philosophy of Science", 56, 663–680 ) 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 a 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 Szabo's ) conjecture concerning the non-existence of a local, non-conspiratorial, separate-common-cause-model for a δ-neighborhood of perfect EPR correlations.
Keywords Philosophy   Philosophy of Language   Metaphysics   Epistemology   Logic
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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.
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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