A nonstandard set theory in the $\displaystyle\in$ -language

Archive for Mathematical Logic 39 (6):403-416 (2000)

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Abstract
. We demonstrate that a comprehensive nonstandard set theory can be developed in the standard $\displaystyle{\in}$ -language. As an illustration, a nonstandard ${\sf Law of Large Numbers}$ is obtained
Keywords Key words: Nonstandard set theory, Law of Large Numbers
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DOI 10.1007/s001530050155
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Standard Sets in Nonstandard Set Theory.Petr Andreev & Karel Hrbacek - 2004 - Journal of Symbolic Logic 69 (1):165-182.
Realism, Nonstandard Set Theory, and Large Cardinals.Karel Hrbacek - 2001 - Annals of Pure and Applied Logic 109 (1-2):15-48.

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