Reichenbachian Common Cause Systems of Arbitrary Finite Size Exist

Foundations of Physics 36 (5):745-756 (2006)
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Abstract

A partition $\{C_i\}_{i\in I}$ 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

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Citations of this work

Bell inequality and common causal explanation in algebraic quantum field theory.Gábor Hofer-Szabó & Péter Vecsernyés - 2013 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4):404-416.
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References found in this work

The Direction of Time.Hans Reichenbach - 1956 - Dover Publications.
On Reichenbach's common cause principle and Reichenbach's notion of common cause.G. Hofer-Szabo - 1999 - British Journal for the Philosophy of Science 50 (3):377-399.
Reichenbachian common cause systems.Gábor Hofer-Szabó & Miklos Redei - 2004 - International Journal of Theoretical Physics 43:1819-1826.
When can statistical theories be causally closed?Balázs Gyenis & Miklós Rédei - 2002 - Foundations of Physics 34 (9):1285-1303.

View all 6 references / Add more references