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arXiv · 1207.0696

Les extensions intrinseques les plus simples des ensembles R et N pour une nouvelle Analyse Non standard

Thierry Bautier
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Abstract

The main results of this paper are the formal constructions, both rigorous and intuitive of the "Aleph" intrinsic extension of the set of non negative integers N and the "Omega" smallest strict over-field of R which is totally ordered and complete. The first differential and integral elements of a new Non Standard Analysis (NSA*) are given. This very simple NSA* is compared to A.Robinson's and J.H.Conway's.

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Thierry Bautier. 2012-06-30. Les extensions intrinseques les plus simples des ensembles R et N pour une nouvelle Analyse Non standard. https://arxiv.org/abs/1207.0696

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