Des nombres infiniment petits et des entiers infiniment grands mais définis à l'unité près

Mathematics – General Mathematics

Scientific paper

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21 pages en Fran\c{c}ais (entirely in French) + 2 pages bibliography

Scientific paper

The main results of this paper are the construction, both rigourous and intuitive, of "the" intrinsic extension of the set of non negative integers N and the smallest over-field of R set which is continue (according to R.Dedekind). The aim of this article is to provide a new Non Standard Analysis, very simple, which is compared in the Introduction with A.Robinson's and J.H.Conway's

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