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Infintesimals in a Recursively Enumerable Prime Model

Tristram de Piro
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Abstract

Using methods developed by Robinson, we find a complete theory suitable for a first order description of infintesimal neighborhoods. We use this to construct a specialisation having universal properties and to find a recursively enumerable model in which the algebraic version of Bezout's theorem is provable by non-standard methods.

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Tristram de Piro. 2005-10-19. Infintesimals in a Recursively Enumerable Prime Model. https://arxiv.org/abs/math/0510412

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