Journal of Symbolic Logic

An axiomatic presentation of the nonstandard methods in mathematics

Mauro Di Nasso

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


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.

Article information

J. Symbolic Logic, Volume 67, Issue 1 (2002), 315-325.

First available in Project Euclid: 18 September 2007

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 03E70: Nonclassical and second-order set theories
Secondary: 03H05: Nonstandard models in mathematics [See also 26E35, 28E05, 30G06, 46S20, 47S20, 54J05]


Di Nasso, Mauro. An axiomatic presentation of the nonstandard methods in mathematics. J. Symbolic Logic 67 (2002), no. 1, 315--325. doi:10.2178/jsl/1190150046.

Export citation