"Gödel's incompleteness theorem" meaning in English

See Gödel's incompleteness theorem in All languages combined, or Wiktionary

Proper name

Forms: Gödel's incompleteness theorems [plural]
Head templates: {{en-proper noun|s}} Gödel's incompleteness theorem (plural Gödel's incompleteness theorems)
  1. (logic, mathematics) One of two theorems in mathematical logic that demonstrates the inherent limitations of every formal axiomatic system containing basic arithmetic. Categories (topical): Logic, Mathematics Related terms: Rosser's trick Translations (theorem): Gödeli mittetäielikkuse teoreem (Estonian), Gödelin epätäydellisyyslause (Finnish), théorème d’incomplétude de Gödel (French), Gödelscher Unvollständigkeitssatz [masculine] (German), ófullkomleikasetning Gödels [feminine] (Icelandic), Теоремы Гёделя о неполноте (Teoremy Gjódelja o nepolnote) (Russian)

Inflected forms

Download JSON data for Gödel's incompleteness theorem meaning in English (2.8kB)

{
  "forms": [
    {
      "form": "Gödel's incompleteness theorems",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "s"
      },
      "expansion": "Gödel's incompleteness theorem (plural Gödel's incompleteness theorems)",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Logic",
          "orig": "en:Logic",
          "parents": [
            "Formal sciences",
            "Philosophy",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "One of two theorems in mathematical logic that demonstrates the inherent limitations of every formal axiomatic system containing basic arithmetic."
      ],
      "id": "en-Gödel's_incompleteness_theorem-en-name-5iEF6AHO",
      "links": [
        [
          "logic",
          "logic"
        ],
        [
          "mathematics",
          "mathematics"
        ],
        [
          "mathematical",
          "mathematical"
        ],
        [
          "demonstrate",
          "demonstrate"
        ],
        [
          "inherent",
          "inherent"
        ],
        [
          "limitation",
          "limitation"
        ],
        [
          "axiomatic system",
          "axiomatic system"
        ],
        [
          "containing",
          "containing"
        ],
        [
          "basic",
          "basic"
        ],
        [
          "arithmetic",
          "arithmetic"
        ]
      ],
      "raw_glosses": [
        "(logic, mathematics) One of two theorems in mathematical logic that demonstrates the inherent limitations of every formal axiomatic system containing basic arithmetic."
      ],
      "related": [
        {
          "word": "Rosser's trick"
        }
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ],
      "translations": [
        {
          "code": "et",
          "lang": "Estonian",
          "sense": "theorem",
          "word": "Gödeli mittetäielikkuse teoreem"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "theorem",
          "word": "Gödelin epätäydellisyyslause"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "theorem",
          "word": "théorème d’incomplétude de Gödel"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "theorem",
          "tags": [
            "masculine"
          ],
          "word": "Gödelscher Unvollständigkeitssatz"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "theorem",
          "tags": [
            "feminine"
          ],
          "word": "ófullkomleikasetning Gödels"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "Teoremy Gjódelja o nepolnote",
          "sense": "theorem",
          "word": "Теоремы Гёделя о неполноте"
        }
      ]
    }
  ],
  "word": "Gödel's incompleteness theorem"
}
{
  "forms": [
    {
      "form": "Gödel's incompleteness theorems",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "s"
      },
      "expansion": "Gödel's incompleteness theorem (plural Gödel's incompleteness theorems)",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "related": [
    {
      "word": "Rosser's trick"
    }
  ],
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English terms spelled with Ö",
        "English terms spelled with ◌̈",
        "English terms with non-redundant non-automated sortkeys",
        "English uncountable nouns",
        "en:Logic",
        "en:Mathematics"
      ],
      "glosses": [
        "One of two theorems in mathematical logic that demonstrates the inherent limitations of every formal axiomatic system containing basic arithmetic."
      ],
      "links": [
        [
          "logic",
          "logic"
        ],
        [
          "mathematics",
          "mathematics"
        ],
        [
          "mathematical",
          "mathematical"
        ],
        [
          "demonstrate",
          "demonstrate"
        ],
        [
          "inherent",
          "inherent"
        ],
        [
          "limitation",
          "limitation"
        ],
        [
          "axiomatic system",
          "axiomatic system"
        ],
        [
          "containing",
          "containing"
        ],
        [
          "basic",
          "basic"
        ],
        [
          "arithmetic",
          "arithmetic"
        ]
      ],
      "raw_glosses": [
        "(logic, mathematics) One of two theorems in mathematical logic that demonstrates the inherent limitations of every formal axiomatic system containing basic arithmetic."
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "et",
      "lang": "Estonian",
      "sense": "theorem",
      "word": "Gödeli mittetäielikkuse teoreem"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "theorem",
      "word": "Gödelin epätäydellisyyslause"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "theorem",
      "word": "théorème d’incomplétude de Gödel"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "theorem",
      "tags": [
        "masculine"
      ],
      "word": "Gödelscher Unvollständigkeitssatz"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "theorem",
      "tags": [
        "feminine"
      ],
      "word": "ófullkomleikasetning Gödels"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "Teoremy Gjódelja o nepolnote",
      "sense": "theorem",
      "word": "Теоремы Гёделя о неполноте"
    }
  ],
  "word": "Gödel's incompleteness theorem"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.