On Reichenbach ’ s common cause principle and Reichenbach ’ s notion of common cause

@inproceedings{HoferSzab2008OnR,
  title={On Reichenbach ’ s common cause principle and Reichenbach ’ s notion of common cause},
  author={G{\'a}bor Hofer-Szab{\'o} and Mikl{\'o}s R{\'e}dei and L{\'a}szl{\'o} E. Szab{\'o}},
  year={2008}
}
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… CONTINUE READING
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