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A nonstandard set theory in the \(\displaystyle\in\)-language

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Abstract. We demonstrate that a comprehensive nonstandard set theory can be developed in the standard \(\displaystyle{\in}\)-language. As an illustration, a nonstandard \({\sf Law of Large Numbers}\) is obtained.

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Authors and Affiliations

  1. Department of Mathematics (Vychislitelnaya Matematika), Moscow Transport Engineering Institute, Obraztsova 15, Moscow 101475, Russia , , , , , , RU

    Vladimir Kanovei

  2. Department of Mathematics, University of Wuppertal, Gauss Strasse 20, Wuppertal 42097, Germany , , , , , , DE

    Michael Reeken

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  1. Vladimir Kanovei
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  2. Michael Reeken
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Received: 17 March 1998 / Revised version: 30 October 1998

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Kanovei, V., Reeken, M. A nonstandard set theory in the \(\displaystyle\in\)-language. Arch Math Logic 39, 403–416 (2000). https://doi.org/10.1007/s001530050155

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  • DOI: https://doi.org/10.1007/s001530050155

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