English

Goldbach Conjecture and First-Order Arithmetic

General Mathematics 2007-11-08 v1

Abstract

Using the concepts of Hyperbolic Classification of Natural Numbers, Essential Regions and Goldbach Conjecture Function we prove that the existence of a proof of the Goldbach Conjecture in First-Order Arithmetic would imply the existence of another proof in a certain extension that would not be valid in all states of time associated to natural numbers created by means of adequate dynamic processes.

Keywords

Cite

@article{arxiv.0711.1126,
  title  = {Goldbach Conjecture and First-Order Arithmetic},
  author = {Fernando Revilla},
  journal= {arXiv preprint arXiv:0711.1126},
  year   = {2007}
}

Comments

4 pages, presented in the First International Congress of Applied Mathematics (Theoretical Foundations of Applied Mathematics) in Madrid on June, 2007, reference 702

R2 v1 2026-06-21T09:41:00.287Z