Work

Axioms for the Real Numbers: A Constructive Approach

Year: 2018

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1808.00906

Author: Joseph, Jean S.

Language: English

Topic: Mathematical and Theoretical Analysis

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2886449618

Cites: 3

Cited by: 1

Related to: 10