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Matematicheskie Zametki, 2006, Volume 79, Issue 1, Pages 134–141
DOI: https://doi.org/10.4213/mzm2675 (Mi mzm2675) 		 
Model Approach to Nonstandard Analysis in the Context of Axiomatic Set Theory

I. V. Yakovlev

Moscow State Institute of Electronics and Mathematics (Technical University)
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DOI: https://doi.org/10.4213/mzm2675
Abstract: In this paper, the model approach to nonstandard analysis is developed on the basis of Zermelo–Fraenkel axiomatic set theory with atoms. The traditional consideration of the standard superstructure $V$ as the primary object of nonstandard analysis is justified. Set-theoretic axioms for the nonstandard system $*V$ are obtained.
Received: 12.04.2004
Revised: 25.10.2004
English version:
Mathematical Notes, 2006, Volume 79, Issue 1, Pages 122–128
DOI: https://doi.org/10.1007/s11006-006-0012-z
Bibliographic databases:
UDC: 510.223
Language: Russian
Citation: I. V. Yakovlev, “Model Approach to Nonstandard Analysis in the Context of Axiomatic Set Theory”, Mat. Zametki, 79:1 (2006), 134–141; Math. Notes, 79:1 (2006), 122–128
Citation in format AMSBIB
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