"metalogical" meaning in English

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "meta",
        "3": "logical"
      },
      "expansion": "meta- + logical",
      "name": "prefix"
    }
  ],
  "etymology_text": "meta- + logical",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "metalogical (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
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          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with meta-",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2007 September 21, Peter W. Hanks, “A Dilemma About Necessity”, in Erkenntnis, volume 68, number 1, →DOI",
          "text": "22 For example, Lewis thinks the truth values of controversial modal axioms can be settled by metalogical considerations about the accessibility relation among worlds.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Of or pertaining to metalogic."
      ],
      "id": "en-metalogical-en-adj-Or7UoaQf",
      "links": [
        [
          "metalogic",
          "metalogic"
        ]
      ],
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "word": "metalogical"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "meta",
        "3": "logical"
      },
      "expansion": "meta- + logical",
      "name": "prefix"
    }
  ],
  "etymology_text": "meta- + logical",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "metalogical (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms prefixed with meta-",
        "English terms with quotations",
        "English uncomparable adjectives"
      ],
      "examples": [
        {
          "ref": "2007 September 21, Peter W. Hanks, “A Dilemma About Necessity”, in Erkenntnis, volume 68, number 1, →DOI",
          "text": "22 For example, Lewis thinks the truth values of controversial modal axioms can be settled by metalogical considerations about the accessibility relation among worlds.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Of or pertaining to metalogic."
      ],
      "links": [
        [
          "metalogic",
          "metalogic"
        ]
      ],
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "word": "metalogical"
}