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

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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

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10.1007/s001530050155

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original Kanovei, V.; Reeken, M. (2000) "A nonstandard set theory in the epsilon-language". Archive for Mathematical Logic 39(6):403-416
original Kanovei, Vladimir; Reeken, Michael (2000) "A nonstandard set theory in the [mathematical formula]-language". Archive for Mathematical Logic 39(6):403-416

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Realism, nonstandard set theory, and large cardinals.Karel Hrbacek - 2001 - Annals of Pure and Applied Logic 109 (1-2):15-48.
Standard sets in nonstandard set theory.Petr Andreev & Karel Hrbacek - 2004 - Journal of Symbolic Logic 69 (1):165-182.

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References found in this work

Non-Well-Founded Sets.Peter Aczel - 1988 - Palo Alto, CA, USA: Csli Lecture Notes.
Internal Set Theory: A New Approach to Nonstandard Analysis.Edward Nelson - 1977 - Journal of Symbolic Logic 48 (4):1203-1204.

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