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Model approach to nonstandard analysis in the context of axiomatic set theory. (English. Russian original) Zbl 1151.26020
Math. Notes 79, No. 1, 122-128 (2006); translation from Mat. Zametki 79, No. 1, 134-141 (2006).
Author’s abstract: 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.
MSC:
26E35 Nonstandard analysis
03H05 Nonstandard models in mathematics
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