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Reichenbachian Common Cause Systems Revisited

Claudio Mazzola

Foundations of Physics 42 (4):512-523 (2012)

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The direction of time.Hans Reichenbach - 1956 - Mineola, N.Y.: Dover Publications. Edited by Maria Reichenbach.details The final work of a distinguished physicist, this remarkable volume examines the emotive significance of time, the time order of mechanics, the time direction of thermodynamics and microstatistics, the time direction of macrostatistics, and the time of quantum physics. Coherent discussions include accounts of analytic methods of scientific philosophy in the investigation of probability, quantum mechanics, the theory of relativity, and causality. "[Reichenbach’s] best by a good deal."—Physics Today. 1971 ed. Download Export citation Bookmark 469 citations
Reichenbachian Common Cause Systems of Arbitrary Finite Size Exist.Gábor Hofer-Szabó & Miklós Rédei - 2006 - Foundations of Physics 36 (5):745-756.details 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 (...) Download Export citation Bookmark 17 citations
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.details 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 (...) Download Export citation Bookmark 42 citations
On Reichenbach's Common Cause Principle and Reichenbach's Notion of Common Cause.G. Hofer-SzabÓ - 1999 - British Journal for the Philosophy of Science 50 (3):377-399.details 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 (...) Download Export citation Bookmark 16 citations
The Direction of Time.Hans Reichenbach - 1956 - Philosophy 34 (128):65-66.details Download Export citation Bookmark 421 citations
Reichenbachian common cause systems.Gábor Hofer-Szabó & Miklos Redei - 2004 - International Journal of Theoretical Physics 43:1819-1826.details A partition $\{C_i\}_{i\in I}$ of a Boolean algebra $\cS$ in a probability measure space $(\cS,p)$ is called a Reichenbachian common cause system for the correlated pair $A,B$ of events in $\cS$ 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 $(\cS,p)$, and given any finite size $n>2$, the probability space (...) Download Export citation Bookmark 29 citations

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