Journal of Symbolic Logic

An axiomatic presentation of the nonstandard methods in mathematics

Mauro Di Nasso
Source: J. Symbolic Logic Volume 67, Issue 1 (2002), 315-325.

Abstract

A nonstandard set theory ∗ZFC is proposed that axiomatizes the nonstandard embedding ∗. Besides the usual principles of nonstandard analysis, all axioms of ZFC except regularity are assumed. A strong form of saturation is also postulated. ∗ZFC is a conservative extension of ZFC.

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Primary Subjects: 03E70
Secondary Subjects: 03H05
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.jsl/1190150046
Mathematical Reviews number (MathSciNet): MR1889553
Digital Object Identifier: doi:10.2178/jsl/1190150046
Zentralblatt MATH identifier: 1005.03053


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Journal of Symbolic Logic

Journal of Symbolic Logic

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