{
  "id": "0807.4321",
  "version": "v1",
  "published": "2008-07-27T19:06:50.000Z",
  "updated": "2008-07-27T19:06:50.000Z",
  "title": "The Notion \"Pathology\" in Set Theory",
  "authors": [
    "Werner DePauli-Schimanovich"
  ],
  "comment": "21 pages, no figures",
  "categories": [
    "math.LO"
  ],
  "abstract": "When we study the paradoxes of set theory we find out that there are mainly 2 types: the pathologies and the antinomies. These 2 notions are made precise and compared with the somehow inductively definable concept \"abnormal\". (See my paper \"Naive Axiomatic Mengenlehre for Experiments\" in arXiv.) In the following 5 Patho Theses are discussed in order to formalize this notion of pathology. This allows us to define formally the property \"Hereditary-non-Pathological\" for well-formed formulas. With this property the system NACT* of Naive Axiomatic Class Theory is constructed, which has a \"unique maximal\" universe (in a special sense).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-07-27T19:06:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "set theory",
      "naive axiomatic class theory",
      "special sense",
      "naive axiomatic mengenlehre",
      "unique maximal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.4321D"
    }
  }
}