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ERNA at work

In: The Strength of Nonstandard Analysis

Author

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  • C. Impens

    (University of Gent, Department of Pure Mathematics and Computer Algebra)

  • S. Sanders

Abstract

Elementary Recursive Nonstandard Analysis, in short ERNA, is a constructive system of nonstandard analysis proposed around 1995 by Chuaqui, Suppes and Sommer. It has been shown to be consistent and, without standard part function or continuum, it allows major parts of analysis to be developed in an applicable form. We briefly discuss ERNA’s foundations and use them to prove a supremum principle and provide a square root function, both up to infinitesimals.

Suggested Citation

  • C. Impens & S. Sanders, 2007. "ERNA at work," Springer Books, in: Imme van den Berg & Vítor Neves (ed.), The Strength of Nonstandard Analysis, chapter 5, pages 64-75, Springer.
    • Handle: RePEc:spr:sprchp:978-3-211-49905-4_5
    DOI: 10.1007/978-3-211-49905-4_5
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