Hofer-Szabo, Gabor and Rédei, Miklós ORCID: 0000-0001-5298-1443
(2004)
*Reichenbachian common cause systems.*
International Journal of Theoretical Physics, 43 (7/8).
pp. 1819-1826.
ISSN 0020-7748

## Abstract

A partition Ci i∈ I of a Boolean algebra S in a probability measure space (S,p) is called a Reichenbachian common cause system for the correlated pair A,B of events in S 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 correlation in (S,p) , and given any finite size n>2, the probability space (S,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. It also is shown that every totally ordered subset in the partially ordered set of all partitions of S contains only one Reichenbachian common cause system. Some open problems concerning Reichenbachian common cause systems are formulated.

Item Type: | Article |
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Official URL: | http://link.springer.com/journal/10773 |

Additional Information: | © 2004 Springer |

Divisions: | LSE |

Subjects: | Q Science > QC Physics |

Date Deposited: | 26 Apr 2013 09:52 |

Last Modified: | 20 Apr 2021 02:00 |

URI: | http://eprints.lse.ac.uk/id/eprint/49729 |

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