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  1. Common Cause Completability of Non-Classical Probability Spaces.Zalán Gyenis & Miklós Rédei - 2017 - Belgrade Philosophical Annual.
    We prove that under some technical assumptions on a general, non-classical probability space, the probability space is extendible into a larger probability space that is common cause closed in the sense of containing a common cause of every correlation between elements in the space. It is argued that the philosophical significance of this common cause completability result is that it allows the defence of the Common Cause Principle against certain attempts of falsification. Some open problems concerning possible strengthening of the (...)
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  • Characterizing Common Cause Closed Probability Spaces.Zalán Gyenis & Miklós Rédei - 2011 - Philosophy of Science 78 (3):393-409.
    A classical probability measure space was defined in earlier papers \cite{Hofer-Redei-Szabo1999}, \cite{Gyenis-Redei2004} to be common cause closed if it contains a Reichenbachian common cause of every correlation in it, and common cause incomplete otherwise. It is shown that a classical probability measure space is common cause incomplete if and only if it contains more than one atom. Furthermore, it is shown that every probability space can be embedded into a common cause closed one; which entails that every classical probability space (...)
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  • Reichenbach’s Common Cause Principle and Indeterminism: A Review.Iñaki San Pedro & Mauricio Suárez - 2009 - In José Luis González Recio (ed.), Philosophical Essays on Physics and Biology. Georg Olms Verlag. pp. 223-250.
    We offer a review of some of the most influential views on the status of Reichenbach’s Principle of the Common Cause (RPCC) for genuinely indeterministic systems. We first argue that the RPCC is properly a conjunction of two distinct claims, one metaphysical and another methodological. Both claims can and have been contested in the literature, but here we simply assume that the metaphysical claim is correct, in order to focus our analysis on the status of the methodological claim. We briefly (...)
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  • Completion of the Causal Completability Problem.Michal Marczyk & Leszek Wronski - 2015 - British Journal for the Philosophy of Science 66 (2):307-326.
    We give a few results concerning the notions of causal completability and causal closedness of classical probability spaces . We prove that any classical probability space has a causally closed extension; any finite classical probability space with positive rational probabilities on the atoms of the event algebra can be extended to a causally up-to-three-closed finite space; and any classical probability space can be extended to a space in which all correlations between events that are logically independent modulo measure zero event (...)
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  • Local Acausality.Adrian Wüthrich - 2014 - Foundations of Physics 44 (6):594-609.
    A fair amount of recent scholarship has been concerned with correcting a supposedly wrong, but wide-spread, assessment of the consequences of the empirical falsification of Bell-type inequalities. In particular, it has been claimed that Bell-type inequalities follow from “locality tout court” without additional assumptions such as “realism” or “hidden variables”. However, this line of reasoning conflates restrictions on the spatio-temporal relation between causes and their effects (“locality”) and the assumption of a cause for every event (“causality”). It thus fails to (...)
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  • Reichenbachian Common Cause Systems of Arbitrary Finite Size Exist.Gábor Hofer-Szabó & Miklós Rédei - 2006 - Foundations of Physics 36 (5):745-756.
    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 (...)
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