NDLI: Reichenbachian Common Cause Systems

Content Provider	Springer Nature Link
Author	Hofer Szabó, G. Rédei, Miklós
Copyright Year	2004
Abstract	A partition C$_{i}$ $_{i∈ I}$ of a Boolean algebra $$\mathcal{S}$$ in a probability measure space $$(\mathcal{S},p)$$ is called a Reichenbachian common cause system for the correlated pair A,B of events in $$\mathcal{S}$$ 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 $$(\mathcal{S},p)$$ , and given any finite size n>2, the probability space $$(\mathcal{S},p)$$ 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 $$\mathcal{S}$$ contains only one Reichenbachian common cause system. Some open problems concerning Reichenbachian common cause systems are formulated.
Starting Page	1819
Ending Page	1826
Page Count	8
File Format	PDF
ISSN	00207748
Journal	International Journal of Theoretical Physics
Volume Number	43
Issue Number	7-8
e-ISSN	15729575
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	2004-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Physics Quantum Physics Mathematical and Computational Physics Elementary Particles, Quantum Field Theory
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mathematics

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