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Nonstandard Set Theory in ∈-Language

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Abstract

A sufficiently convenient set theory in the standard ∈-language applicable to nonstandard analysis is proposed.

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REFERENCES

  1. E. Nelson, “Internal set theory: a new approach to nonstandard analysis,” Bull. Amer. Math. Soc., 83 (1977), 1165–1198.

    Google Scholar 

  2. K. Hrbacek, “Axiomatic foundations for nonstandard analysis,” Fund. Math., 98 (1978), 1–19.

    Google Scholar 

  3. V. Kanovei and M. Reeken, “Mathematics in a nonstandard world,” Math. Japonica, 45 (1997), no. 2, 369–408, no. 3, 555-571.

    Google Scholar 

  4. T. Kawaï, “Nonstandard analysis by axiomatic methods,” in: Southeast Asia Conference on Logic (Singapore 1981), vol. 111, Studies in Logic and Foundations of Math, North-Holland, Amsterdam, 1983, pp. 55–76.

    Google Scholar 

  5. A. G. Kusraev and S. S. Kutateladze, Nonstandard Methods of Analysis [in Russian], Nauka, Novosibirsk, 1990.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, Russia

    V. G. Kanovei

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  1. V. G. Kanovei
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Kanovei, V.G. Nonstandard Set Theory in ∈-Language. Mathematical Notes 70, 42–45 (2001). https://doi.org/10.1023/A:1010265716574

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