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Schrödinger’s cat

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Abstract

We show that the classical framework of probability spaces, which does not admit a model-theoretical treatment, is equivalent to that of probability algebras, which does. We prove that the category of probability algebras is a stable cat, where non-dividing coincides with the ordinary notion of independence used in probability theory.

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Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin — Madison, 480 Lincoln Drive, 53706-1388, Madison, WI, USA

    Itay Ben-Yaacov

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  1. Itay Ben-Yaacov
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Correspondence to Itay Ben-Yaacov.

Additional information

Je voudrais remercier Sebastien Gouëzel pour une discussion inspirante. Je voudrais également remercier Frank O. Wagner, John B. Goode et l’équipe de logique de l’Institut Girard Desargues (Université Lyon 1) pour leur hospitalité.

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Ben-Yaacov, I. Schrödinger’s cat. Isr. J. Math. 153, 157–191 (2006). https://doi.org/10.1007/BF02771782

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  • DOI: https://doi.org/10.1007/BF02771782

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