Infintesimals in a Recursively Enumerable Prime Model
Tristram de Piro
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.
Create a lesson
Related papers
Logarithmic--exponential preparation in sharply o-minimal structures
Gal Binyamini, Oded Carmon, Dmitry Novikov
Stoic Logic and Natural Term Logic
Clarence Lewis Protin
From raw Solvability Complexity Index proofs to Weihrauch degrees
Christopher Sorg
Existence of bases implies the axiom of choice, a foundation-free proof
Gabriel Fernandes, Renan Maneli Mezabarba, Vinicius de Oliveira Rodrigues
Every countable meet-continuous lattice is Scott sober
Xiaoquan Xu, Wei Ji
A minimal type of Morley rank ω in a partial differential field
Piotr Kowalski