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arXiv · 0912.2580

Remarques sur l'expression de la généralité en mathématiques

Alain Herreman
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Abstract

This paper gives a condition of the expression of generality in mathematics from the application of Löwenheim-Skolem theorem to Zermelo's axioms. It gives an example of an "expression problem" from Gauss's Disquisitiones Arithmeticae and caracterizes the used of sets in it.---L'article dégage une condition de l'expression de la généralité en mathématiques à partir de l'application du théorème de Löwenheim-Skolem aux axiomes de Zermelo. Il donne un exemple de "problème d'expression" à partir des Disquisitiones Arithmeticae de Gauss, dégageant ainsi une condition du recours aux ensembles.

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Alain Herreman. 2011-05-20. Remarques sur l'expression de la généralité en mathématiques. https://arxiv.org/abs/0912.2580

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