An axiomatics for nonstandard set theory, based on von Neumann–Bernays–Gödel Theory

DOI10.2307/2695109zbMath0985.03043OpenAlexW1965090123MaRDI QIDQ2758061

P. V. Andreev, E. I. Gordon

Publication date: 21 May 2002

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2695109

zbMATH Keywords

nonstandard analysisaxiomatic systemnonstandard class theorysaturation principleextension of von Neumann-Gödel-Bernays set theorysemisets

Mathematics Subject Classification ID

Nonclassical and second-order set theories (03E70) Nonstandard models in mathematics (03H05)

Related Items (5)

A theory of hyperfinite sets ⋮ Some remarks on nonstandard theory of classes ⋮ 2002–2003 Winter Meeting of the Association for Symbolic Logic ⋮ Realism, nonstandard set theory, and large cardinals ⋮ 2003 European Summer Meeting of the Association for Symbolic Logic. Logic Colloquim '03

Cites Work

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• Radically Elementary Probability Theory. (AM-117)
• Nonstandard Set Theory
• Internal set theory: A new approach to nonstandard analysis

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