{
  "id": "1808.00906",
  "version": "v1",
  "published": "2018-07-28T19:20:44.000Z",
  "updated": "2018-07-28T19:20:44.000Z",
  "title": "Axioms for the Real Numbers: A Constructive Approach",
  "authors": [
    "Jean S. Joseph"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We present axioms for the real numbers by imposing the field axioms on the rational numbers and then show that they are a field. We prove all our theorems constructively.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-28T19:20:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "real numbers",
      "constructive approach",
      "field axioms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}