English

Axioms for the Real Numbers: A Constructive Approach

Logic 2021-09-13 v2

Abstract

We present axioms for the real numbers by omitting the field axioms and then derive the field properties of the real numbers. We prove all our theorems constructively.

Keywords

Cite

@article{arxiv.1808.00906,
  title  = {Axioms for the Real Numbers: A Constructive Approach},
  author = {Jean S. Joseph},
  journal= {arXiv preprint arXiv:1808.00906},
  year   = {2021}
}
R2 v1 2026-06-23T03:23:01.656Z