{
  "id": "1903.09960",
  "version": "v1",
  "published": "2019-03-24T10:17:39.000Z",
  "updated": "2019-03-24T10:17:39.000Z",
  "title": "Infinite forcing and the generic multiverse",
  "authors": [
    "Giorgio Venturi"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "In this article we present a technique for selecting models of set theory that are complete in a model-theoretic sense. Specifically, we will apply Robinson infinite forcing to the collections of models of ZFC obtained by Cohen forcing. This technique will be used to suggest a unified perspective on generic absoluteness principles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-24T10:17:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generic multiverse",
      "generic absoluteness principles",
      "model-theoretic sense",
      "set theory",
      "collections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}