Philosophy of Science 78 (3):393-409 (2011)

Zalan Gyenis
Jagiellonian University
Miklós Rédei
London School of Economics
A classical probability measure space was defined in earlier papers \cite{Hofer-Redei-Szabo1999}, \cite{Gyenis-Redei2004} to be common cause closed if it contains a Reichenbachian common cause of every correlation in it, and common cause incomplete otherwise. It is shown that a classical probability measure space is common cause incomplete if and only if it contains more than one atom. Furthermore, it is shown that every probability space can be embedded into a common cause closed one; which entails that every classical probability space is common cause completable with respect to any set of correlated events. The implications of these results for Reichenbach's Common Cause Principle are discussed, and it is argued that the Principle is only falsifiable if conditions on the common cause are imposed that go beyond the requirements formulated by Reichenbach in the definition of common cause.
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DOI 10.1086/660302
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References found in this work BETA

A Probabilistic Theory of Causality.P. Suppes - 1973 - British Journal for the Philosophy of Science 24 (4):409-410.
Venetian Sea Levels, British Bread Prices, and the Principle of the Common Cause.Elliott Sober - 2001 - British Journal for the Philosophy of Science 52 (2):331-346.
Stochastic Einstein Locality Revisited.Jeremy Butterfield - 2007 - British Journal for the Philosophy of Science 58 (4):805-867.

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Completion of the Causal Completability Problem.Michal Marczyk & Leszek Wronski - 2015 - British Journal for the Philosophy of Science 66 (2):307-326.

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