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math.LOAug 1, 2018
1
citations (OpenAlex)
authors
  • Jean S. Joseph
arXiv abstractPDF
paper

Axioms for the Real Numbers: A Constructive Approach

arXiv:1808.00906

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.

Cited by in corpus (1)

  • The Surreal Numbers as an Ordered Commutative Ring with an Apartness: A Development in Univalent Foundations
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