Extension of standard models of ZFC to models of Nelson's nonstandard set theory IST

DOI10.1007/BF02674872zbMath0955.03070OpenAlexW2119083681MaRDI QIDQ1972520

Reeken, Michael, Kanovei, Vladimir

Publication date: 2 August 2000

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02674872

zbMATH Keywords

Zermelo-Fraenkel set theoryultrafiltersinternal set theoryaxiomatic systems

Mathematics Subject Classification ID

Nonclassical and second-order set theories (03E70) Models of arithmetic and set theory (03C62) Nonstandard models in mathematics (03H05)

Related Items (1)

Luzin gaps

Cites Work

• Internal approach to external sets and universes. II: External universes over the universe of bounded set theory
• Axiomatic foundations for Nonstandard Analysis
• Internal set theory: A new approach to nonstandard analysis
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