The principle of the common cause faces the Bernstein paradox

Philosophy of Science 66 (3):525 (1999)
I consider the problem of extending Reichenbach's principle of the common cause to more than two events, vis-a-vis an example posed by Bernstein. It is argued that the only reasonable extension of Reichenbach's principle stands in conflict with a recent proposal due to Horwich. I also discuss prospects of the principle of the common cause in the light of these and other difficulties known in the literature and argue that a more viable version of the principle is the one provided by Penrose and Percival (1962)
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DOI 10.1086/392749
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John Earman & Giovanni Valente (2014). Relativistic Causality in Algebraic Quantum Field Theory. International Studies in the Philosophy of Science 28 (1):1-48.
Jeremy Butterfield (2007). Stochastic Einstein Locality Revisited. British Journal for the Philosophy of Science 58 (4):805 - 867.
Gábor Hofer-Szabó & Péter Vecsernyés (2013). Bell Inequality and Common Causal Explanation in Algebraic Quantum Field Theory. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4):404-416.
Joe Henson (2005). Comparing Causality Principles. Studies in History and Philosophy of Science Part B 36 (3):519-543.

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