{
  "id": "2402.09458",
  "version": "v1",
  "published": "2024-02-07T20:39:29.000Z",
  "updated": "2024-02-07T20:39:29.000Z",
  "title": "Relative consistency of Set Matrix Theory with ZF",
  "authors": [
    "Marcoen J. T. F. Cabbolet"
  ],
  "comment": "5 pages; to appear in Logique et Analyse",
  "journal": "Logique et Analyse 262: 73-81 (2023)",
  "doi": "10.2143/LEA.262.0.3293613",
  "categories": [
    "math.LO",
    "cs.LO"
  ],
  "abstract": "Set Matrix Theory (SMT) has been introduced in Log. Anal. 225: 59-82 (2014) as a generalization of ZF, in which matrices constructed from sets are treated as urelements, that is, as objects that are not sets but that can be elements of sets. Here we prove that SMT is relatively consistent with ZF.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-02-07T20:39:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03F25",
      "03E65"
    ],
    "keywords": [
      "set matrix theory",
      "relative consistency",
      "generalization",
      "urelements"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}