Authors
Zalan Gyenis
Jagiellonian University
Miklós Rédei
London School of Economics
Abstract
We prove that under some technical assumptions on a general, non-classical probability space, the probability space is extendible into a larger probability space that is common cause closed in the sense of containing a common cause of every correlation between elements in the space. It is argued that the philosophical significance of this common cause completability result is that it allows the defence of the Common Cause Principle against certain attempts of falsification. Some open problems concerning possible strengthening of the common cause completability result are formulated.
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References found in this work BETA

The Principle of the Common Cause.Miklós Redei, Gabor Hofer-Szabo & Laszlo Szabo - 2013 - Cambridge, U.K: Cambridge University Press.
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.
Quantum Probability Theory.Miklós Rédei & Stephen Jeffrey Summers - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):390-417.

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