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Common Cause Completability of Classical and Quantum Probability Spaces

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Abstract

It is shown that for a given set of correlations either in a classical or in a quantumprobability space both the classical and the quantum probability spaces areextendable in such a way that the extension contains common causes of thegiven correlations, where common cause is taken in the sense of Reichenbach'sdefinition. These results strongly restrict the possible ways of disprovingReichenbach's common cause principle and indicate that EPR-type quantumcorrelations might very well have a common cause explanation.

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Authors and Affiliations

  1. Department of Philosophy, Technical University of Budapest, Budapest, Hungary

    Gábor Hofer-Szabó

  2. Department of History and Philosophy of Science, Eötvös University, H-1518, Budapest, Hungary

    Miklós Rédei

  3. Theoretical Physics Research Group of HAS, Department of History and Philosophy of Science, Eötvös University, H-1518, Budapest, Hungary

    László E. Szabó

Authors
  1. Gábor Hofer-Szabó
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  2. Miklós Rédei
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  3. László E. Szabó
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Hofer-Szabó, G., Rédei, M. & Szabó, L.E. Common Cause Completability of Classical and Quantum Probability Spaces. International Journal of Theoretical Physics 39, 913–919 (2000). https://doi.org/10.1023/A:1003643300514

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  • DOI: https://doi.org/10.1023/A:1003643300514

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