{
  "id": "1709.07301",
  "version": "v1",
  "published": "2017-09-21T13:12:25.000Z",
  "updated": "2017-09-21T13:12:25.000Z",
  "title": "Some observations about generalized quantifiers in logics of imperfect information",
  "authors": [
    "Fausto Barbero"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We analyze the definitions of generalized quantifiers of imperfect information that have been proposed by F.Engstr\\\"om. We argue that these definitions are just embeddings of the first-order generalized quantifiers into team semantics, and fail to capture an adequate notion of team-theoretical generalized quantifier, save for the special cases in which the quantifiers are applied to flat formulas. We also criticize the meaningfulness of the monotone/nonmonotone distinction in this context. We make some proposals for a more adequate definition of generalized quantifiers of imperfect information.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-21T13:12:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03B60",
      "F.4.1"
    ],
    "keywords": [
      "imperfect information",
      "observations",
      "team semantics",
      "adequate notion",
      "first-order generalized quantifiers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}