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Measurement independence, parameter independence and non-locality

  • Original Paper in Philosophy of Physics
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The Original Article was published on 26 October 2011

Abstract

In a recent paper in this Journal San Pedro (2012) I formulated a conjecture relating Measurement Independence and Parameter Independence, in the context of common cause explanations of EPR correlations. My conjecture suggested that a violation of Measurement Independence would entail a violation of Parameter Independence as well. Leszek Wroński (2014) has shown that conjecture to be false. In this note, I review Wroński’s arguments and agree with him on the fate of the conjecture. I argue that what is interesting about the conjecture, however, is not whether it is true or false in itself, but the reasons for the actual verdict, and their implications regarding locality.

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Notes

  1. Note the change in the notation: while C denotes a ‘generic’ common cause event, C stands for a particular kind of common cause, as defined in the model outlined here. See (San Pedro 2012) for full details.

References

  • San Pedro, I. (2012). European Journal for Philosophy of Science, 2, 137.

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  • Wroński, L. (2014). On a conjecture by San Pedro. European Journal for Philosophy of Science. doi: 10.1007/s13194-014-0089-2.

  • Price, H. (1994). Mind, 103, 303.

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  • Hofer-Szabȯ, G., Rėdei, M., Szabȯ, L.E. (2013). The Principle of the Common Cause. Cambridge and New York: Cambridge University Press.

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Acknowledgments

I would like to thank Miklós Rédei and Mauricio Suárez for helpful comments and remarks on a previous version of this note. Financial support is gratefully acknowledged from the Spanish Ministry of Science and Innovation, project FFI2011-29834-C03-01, and from the Basque Country regional government’s, Department of Education, Language Policy and Culture, project IT644-13.

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Correspondence to Iñaki San Pedro.

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San Pedro, I. Measurement independence, parameter independence and non-locality. Euro Jnl Phil Sci 4, 369–374 (2014). https://doi.org/10.1007/s13194-014-0091-8

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  • DOI: https://doi.org/10.1007/s13194-014-0091-8

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