Hofer-Szabo, Gabor and Rédei, Miklós
(2006)
*Reichenbachian common cause systems of arbitrary finite size exist.*
Foundations of Physics, 36 (5).
pp. 745-756.
ISSN 0015-9018

## Abstract

A partition {Ci}i∈I of a Boolean algebra Ω in a probability measure space (Ω, p) is called a Reichenbachian common cause system for the correlation between a pair A,B of events in Ω if any two elements in the partition behave like a Reichenbachian common cause and its complement; the cardinality of the index set I is called the size of the common cause system. It is shown that given any non-strict correlation in (Ω, p), and given any finite natural number n > 2, the probability space (Ω,p) can be embedded into a larger probability space in such a manner that the larger space contains a Reichenbachian common cause system of size n for the correlation.

Item Type: | Article |
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Official URL: | http://link.springer.com/journal/10701 |

Additional Information: | © 2006 Springer |

Subjects: | Q Science > QC Physics |

Sets: | Departments > Philosophy, Logic and Scientific Method |

Date Deposited: | 17 Apr 2013 15:51 |

Last Modified: | 17 Apr 2013 15:51 |

URI: | http://eprints.lse.ac.uk/id/eprint/49721 |

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