Geodesic
Nonstandard Set Theory in $\in$-Language
Matematičeskie zametki, Tome 70 (2001) no. 1, pp. 46-50 
V. G. Kanovei. Nonstandard Set Theory in $\in$-Language. Matematičeskie zametki, Tome 70 (2001) no. 1, pp. 46-50. http://geodesic.mathdoc.fr/item/MZM_2001_70_1_a5/
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     title = {Nonstandard {Set} {Theory} in $\in${-Language}},
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     volume = {70},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_70_1_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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

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

[2] Hrbaček K., “Axiomatic foundations for nonstandard analysis”, Fund. Math., 98 (1978), 1–19 | MR | Zbl

[3] Kanovei V., Reeken M., “Mathematics in a nonstandard world”, Math. Japonica, 45:2 (1997), 369–408 ; 3, 555–571 | MR | Zbl | MR | Zbl

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

[5] Kusraev A. G., Kutateladze S. S., Nestandartnye metody analiza, Nauka, Novosibirsk, 1990