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An axiomatic presentation of the nonstandard methods in mathematics

Published online by Cambridge University Press:  12 March 2014

Mauro Di Nasso
Mauro Di Nasso*
Affiliation:
Università di Pisa, Dipartimento di Matematica Applicata Via Bonanno 25/B, 55126 Pisa, Italy, E-mail: dinasso@dma.unipi.it
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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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 67 , Issue 1 , March 2002 , pp. 315 - 325
Copyright
Copyright © Association for Symbolic Logic 2002

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References

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