On the relation between the probabilistic characterization of the common cause and Bell׳s notion of local causality

Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 49:32-41 (2015)
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Abstract

In the paper the relation between the standard probabilistic characterization of the common cause and Bell's notion of local causality will be investigated. It will be shown that the probabilistic common cause follows from local causality if one accepts, as Bell did, two assumptions concerning the common cause: first, the common cause is localized in the intersection of the past of the correlating events; second, it provides a complete specification of the `beables' of this intersection. However, neither assumptions are a priori requirements. In the paper the logical role of these assumptions will be studied and it will be shown that only the second assumption is necessary for the derivation of the probabilistic common cause from local causality.

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