{
  "id": "2105.12157",
  "version": "v1",
  "published": "2021-05-25T18:32:32.000Z",
  "updated": "2021-05-25T18:32:32.000Z",
  "title": "What is Logical in First-Order Logic?",
  "authors": [
    "Boris Čulina"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "In this article, logical concepts are defined using the internal syntactic and semantic structure of language. For a first-order language, it has been shown that its logical constants are connectives and a certain type of quantifiers for which the universal and existential quantifiers form a functionally complete set of quantifiers. Neither equality nor cardinal quantifiers belong to the logical constants of a first-order language.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-25T18:32:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "first-order logic",
      "first-order language",
      "logical constants",
      "existential quantifiers form",
      "cardinal quantifiers belong"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}