English

Infintesimals in a Recursively Enumerable Prime Model

Logic 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0510412,
  title  = {Infintesimals in a Recursively Enumerable Prime Model},
  author = {Tristram de Piro},
  journal= {arXiv preprint arXiv:math/0510412},
  year   = {2007}
}
R2 v1 2026-07-22T17:26:07.528Z