Common-causes are not common common-causes
Philosophy of Science 69 (4):623-636 (2002)
| Abstract | A condition is formulated in terms of the probabilities of two pairs of correlated events in a classical probability space which is necessary for the two correlations to have a single (Reichenbachian) common-cause and it is shown that there exists pairs of correlated events probabilities of which violate the necessary condition. It is concluded that different correlations do not in general have a common common-cause. It is also shown that this conclusion remains valid even if one weakens slightly Reichenbach's definition of common-cause. The significance of the difference between common-causes and common common-causes is emphasized from the perspective of Reichenbach's Common Cause Principle. | |||||||||
| Keywords | Reichenbachian common cause | |||||||||
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Frank Arntzenius, Reichenbach's Common Cause Principle. Stanford Encyclopedia of Philosophy.
Yuichiro Kitajima (2008). Reichenbach’s Common Cause in an Atomless and Complete Orthomodular Lattice. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS 47 (2):511-519.
Michael De Medeiros (2010). Common Sense. Weigl Publishers.
Balazs Gyenis & Miklos Redei (2004). When Can Statistical Theories Be Causally Closed? Foundations of Physics 34:1285-1303.
Gábor Hofer-Szabó (2007). Separate- Versus Common -Common-Cause-Type Derivations of the Bell Inequalities. Synthese 163 (2):199 - 215.
G. Hofer-Szabó, M. Rédei & and LE Szabó (1999). On Reichenbach's Common Cause Principle and Reichenbach's Notion of Common Cause. British Journal for the Philosophy of Science 50 (3):377 - 399.
Zalán Gyenis & Miklós Rédei (2011). Characterizing Common Cause Closed Probability Spaces. Philosophy of Science 78 (3):393-409.
Gábor Hofer‐Szabó (2002). Common‐Causes Are Not Common Common‐Causes. Philosophy of Science 69 (4):623-636.
Gabor Hofer-Szabo, Miklos Redei & Laszlo E. Szabo (2002). Common-Causes Are Not Common Common-Causes. Philosophy of Science 69 (4):623-636.
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