The strength of nonstandard analysis

H. Jerome Keisler ()
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H. Jerome Keisler: University of Wisconsin

Chapter 1 in The Strength of Nonstandard Analysis, 2007, pp 3-26 from Springer

Abstract: Abstract A weak theory nonstandard analysis, with types at all finite levels over both the integers and hyperintegers, is developed as a possible framework for reverse mathematics. In this weak theory, we investigate the strength of standard part principles and saturation principles which are often used in practice along with first order reasoning about the hyperintegers to obtain second order conclusions about the integers.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-211-49905-4_1

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DOI: 10.1007/978-3-211-49905-4_1

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