Authors
Gábor Hofer-Szabó
Research Center For The Humanities, Budapest
Abstract
It is shown that, given any finite set of pairs of random events in a Boolean algebra which are correlated with respect to a fixed probability measure on the algebra, the algebra can be extended in such a way that the extension contains events that can be regarded as common causes of the correlations in the sense of Reichenbach's definition of common cause. It is shown, further, that, given any quantum probability space and any set of commuting events in it which are correlated with respect to a fixed quantum state, the quantum probability space can be extended in such a way that the extension contains common causes of all the selected correlations, where common cause is again taken in the sense of Reichenbach's definition. It is argued that these results very strongly restrict the possible ways of disproving Reichenbach's Common Cause Principle
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DOI 10.1093/bjps/50.3.377
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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.
A Probabilistic Theory of Causality.Alex C. Michalos - 1972 - Philosophy of Science 39 (4):560-561.

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Citations of this work BETA

Stochastic Einstein Locality Revisited.Jeremy Butterfield - 2007 - British Journal for the Philosophy of Science 58 (4):805-867.
Causation, Measurement Relevance and No-Conspiracy in EPR.Iñaki San Pedro - 2012 - European Journal for Philosophy of Science 2 (1):137-156.
Relativistic Quantum Becoming.Wayne C. Myrvold - 2003 - British Journal for the Philosophy of Science 54 (3):475-500.

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