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Definable predicates of standardness in internal set theory

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Abstract

It is shown that Nelson’s internal set theory IST has no definable predicate that is a proper extension of the standardness predicate and satisfies the carry-over, idealization, and standardization principles.

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Authors and Affiliations

  1. Nizhnii Novgorod State University, Nizhnii Novgorod, USSR

    P. V. Andreev

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  1. P. V. Andreev
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Translated fromMatematicheskie Zametki, Vol. 66, No. 6, pp. 803–809, December, 1999.

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Andreev, P.V. Definable predicates of standardness in internal set theory. Math Notes 66, 665–669 (1999). https://doi.org/10.1007/BF02674323

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  • DOI: https://doi.org/10.1007/BF02674323

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