Switch to: References

Add citations

You must login to add citations.
  1. Hardy's Paradox as a No-Go Result for Probabilistic Hidden Variables確率的隠れた変数の不可能性定理としてのハーディーのパラドクス.Katsuaki Higashi - 2019 - Journal of the Japan Association for Philosophy of Science 47 (1):35-46.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  • Characterizing Common Cause Closedness of Quantum Probability Theories.Yuichiro Kitajima & Miklós Rédei - unknown
    We prove new results on common cause closedness of quantum probability spaces, where by a quantum probability space is meant the projection lattice of a non-commutative von Neumann algebra together with a countably additive probability measure on the lattice. Common cause closedness is the feature that for every correlation between a pair of commuting projections there exists in the lattice a third projection commuting with both of the correlated projections and which is a Reichenbachian common cause of the correlation. The (...)
    Direct download (8 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  • Stochastic Einstein Locality Revisited.Jeremy Butterfield - 2007 - British Journal for the Philosophy of Science 58 (4):805-867.
    I discuss various formulations of stochastic Einstein locality (SEL), which is a version of the idea of relativistic causality, that is, the idea that influences propagate at most as fast as light. SEL is similar to Reichenbach's Principle of the Common Cause (PCC), and Bell's Local Causality. My main aim is to discuss formulations of SEL for a fixed background spacetime. I previously argued that SEL is violated by the outcome dependence shown by Bell correlations, both in quantum mechanics and (...)
    Direct download (13 more)  
     
    Export citation  
     
    Bookmark   24 citations  
  • Correlations, Deviations and Expectations: The Extended Principle of the Common Cause.Claudio Mazzola - 2013 - Synthese 190 (14):2853-2866.
    The Principle of the Common Cause is usually understood to provide causal explanations for probabilistic correlations obtaining between causally unrelated events. In this study, an extended interpretation of the principle is proposed, according to which common causes should be invoked to explain positive correlations whose values depart from the ones that one would expect to obtain in accordance to her probabilistic expectations. In addition, a probabilistic model for common causes is tailored which satisfies the generalized version of the principle, at (...)
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  • Separate Common Causes and EPR Correlations---A No-Go Result.Tomasz Placek & Leszek Wroński - unknown
    One diagnosis of Bell's theorem is that its premise of Outcome Independence is unreasonably strong, as it postulates one common screener system that purports to explain all the correlations involved. This poses a challenge of constructing a model for quantum correlations that is local, non-conspiratorial, and has many separate screener systems rather than one common screener system. In particular, the assumptions of such models should not entail Bell's inequalities. We prove that the models described do not exist, and hence, the (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  • 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 (...)
    Direct download (10 more)  
     
    Export citation  
     
    Bookmark   5 citations  
  • The Limits of Common Cause Approach to EPR Correlation.Katsuaki Higashi - 2008 - Foundations of Physics 38 (7):591-609.
    It is often argued that no local common cause models of EPR correlation exist. However, Szabó and Rédei pointed out that such arguments have the tacit assumption that plural correlations have the same common causes. Furthermore, Szabó showed that for EPR correlation a local common cause model in his sense exists. One of his requirements is that common cause events are statistically independent of apparatus settings on each side. However, as Szabó knows, to meet this requirement does not entail that (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  • Bell(Δ) Inequalities Derived From Separate Common Causal Explanation of Almost Perfect EPR Anticorrelations.Gábor Hofer-Szabó - 2011 - Foundations of Physics 41 (8):1398-1413.
    It is a well known fact that a common common causal explanation of the EPR scenario which consists in providing a local, non-conspiratorial common common cause system for a set of EPR correlations is excluded by various Bell inequalities. But what if we replace the assumption of a common common cause system by the requirement that each correlation of the set has a local, non-conspiratorial separate common cause system? In the paper we show that this move does not yield a (...)
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  • Causation, Measurement Relevance and No-Conspiracy in EPR.Iñaki San Pedro - 2012 - European Journal for Philosophy of Science 2 (1):137-156.
    In this paper I assess the adequacy of no-conspiracy conditions employed in the usual derivations of the Bell inequality in the context of EPR correlations. First, I look at the EPR correlations from a purely phenomenological point of view and claim that common cause explanations of these cannot be ruled out. I argue that an appropriate common cause explanation requires that no-conspiracy conditions are reinterpreted as mere common cause-measurement independence conditions. In the right circumstances then, violations of measurement independence need (...)
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark   7 citations  
  • On the Relation Between the Probabilistic Characterization of the Common Cause and Bell׳s Notion of Local Causality.Hofer-Szabó Gábor - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 49:32-41.
    In the paper the relation between the standard probabilistic characterization of the common cause and Bell's notion of local causality will be investigated. It will be shown that the probabilistic common cause follows from local causality if one accepts, as Bell did, two assumptions concerning the common cause: first, the common cause is localized in the intersection of the past of the correlating events; second, it provides a complete specification of the `beables' of this intersection. However, neither assumptions are a (...)
    Direct download (8 more)  
     
    Export citation  
     
    Bookmark  
  • On the Relation Between the Probabilistic Characterization of the Common Cause and Bell׳s Notion of Local Causality.Gábor Hofer-Szabó - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 49:32-41.
    In the paper the relation between the standard probabilistic characterization of the common cause and Bell's notion of local causality will be investigated. It will be shown that the probabilistic common cause follows from local causality if one accepts, as Bell did, two assumptions concerning the common cause: first, the common cause is localized in the intersection of the past of the correlating events; second, it provides a complete specification of the `beables' of this intersection. However, neither assumptions are a (...)
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark