{
  "id": "2101.01643",
  "version": "v1",
  "published": "2021-01-05T16:48:20.000Z",
  "updated": "2021-01-05T16:48:20.000Z",
  "title": "Frege's Theory of Real Numbers: A consistent Rendering",
  "authors": [
    "Francesca Boccuni",
    "Marco Panza"
  ],
  "journal": "Review of Symbolic Logic, 2021",
  "categories": [
    "math.LO"
  ],
  "abstract": "Frege's definition of the real numbers, as envisaged in the second volume of \\textit{Grundgesetze der Arithmetik}, is fatally flawed by the inconsistency of Frege's ill-fated \\textit{Basic Law V}. We restate Frege's definition in a consistent logical framework and investigate whether it can provide a logical foundation of real analysis. Our conclusion will deem it doubtful that such a foundation along the lines of Frege's own indications is possible at all.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-05T16:48:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "real numbers",
      "freges theory",
      "consistent rendering",
      "restate freges definition",
      "der arithmetik"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}