"Ramsey's theorem" meaning in All languages combined

See Ramsey's theorem on Wiktionary

Noun [English]

Forms: Ramsey's theorems [plural]
Etymology: Named after British mathematician and philosopher Frank P. Ramsey. Head templates: {{en-noun|~}} Ramsey's theorem (countable and uncountable, plural Ramsey's theorems)
  1. (mathematics) A (version of a) theorem concerning the existence of cliques in a labelled complete graph.
    The theorem that any graph labelling (with colours) of a sufficiently large complete graph contains monochromatic cliques.
    Tags: countable, uncountable
    Sense id: en-Ramsey's_theorem-en-noun-FiKraWYV Categories (other): Mathematics, English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 50 50 Disambiguation of Pages with 1 entry: 50 50 Disambiguation of Pages with entries: 50 50 Topics: mathematics, sciences
  2. (mathematics) A (version of a) theorem concerning the existence of cliques in a labelled complete graph.
    The theorem that any graph labelling (with colours) of an infinite complete graph contains at least one infinite monochromatic clique.
    Tags: countable, uncountable
    Sense id: en-Ramsey's_theorem-en-noun-qKMGvzfo Categories (other): Mathematics, English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 50 50 Disambiguation of Pages with 1 entry: 50 50 Disambiguation of Pages with entries: 50 50 Topics: mathematics, sciences
The following are not (yet) sense-disambiguated
Synonyms (finite version of theorem): finite Ramsey's theorem Synonyms (infinite version of theorem): infinite Ramsey's theorem
Disambiguation of 'finite version of theorem': 50 50 Disambiguation of 'infinite version of theorem': 50 50

Inflected forms

{
  "etymology_text": "Named after British mathematician and philosopher Frank P. Ramsey.",
  "forms": [
    {
      "form": "Ramsey's theorems",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
      },
      "expansion": "Ramsey's theorem (countable and uncountable, plural Ramsey's theorems)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [],
          "source": "w"
        },
        {
          "_dis": "50 50",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "50 50",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "50 50",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "A (version of a) theorem concerning the existence of cliques in a labelled complete graph.",
        "The theorem that any graph labelling (with colours) of a sufficiently large complete graph contains monochromatic cliques."
      ],
      "id": "en-Ramsey's_theorem-en-noun-FiKraWYV",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "clique",
          "clique"
        ],
        [
          "complete graph",
          "complete graph"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A (version of a) theorem concerning the existence of cliques in a labelled complete graph.",
        "The theorem that any graph labelling (with colours) of a sufficiently large complete graph contains monochromatic cliques."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "other",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [],
          "source": "w"
        },
        {
          "_dis": "50 50",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "50 50",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "50 50",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "A (version of a) theorem concerning the existence of cliques in a labelled complete graph.",
        "The theorem that any graph labelling (with colours) of an infinite complete graph contains at least one infinite monochromatic clique."
      ],
      "id": "en-Ramsey's_theorem-en-noun-qKMGvzfo",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "clique",
          "clique"
        ],
        [
          "complete graph",
          "complete graph"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A (version of a) theorem concerning the existence of cliques in a labelled complete graph.",
        "The theorem that any graph labelling (with colours) of an infinite complete graph contains at least one infinite monochromatic clique."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "_dis1": "50 50",
      "sense": "finite version of theorem",
      "word": "finite Ramsey's theorem"
    },
    {
      "_dis1": "50 50",
      "sense": "infinite version of theorem",
      "word": "infinite Ramsey's theorem"
    }
  ],
  "wikipedia": [
    "Frank P. Ramsey",
    "Ramsey's theorem"
  ],
  "word": "Ramsey's theorem"
}
{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English eponyms",
    "English lemmas",
    "English multiword terms",
    "English nouns",
    "English uncountable nouns",
    "Pages with 1 entry",
    "Pages with entries"
  ],
  "etymology_text": "Named after British mathematician and philosopher Frank P. Ramsey.",
  "forms": [
    {
      "form": "Ramsey's theorems",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
      },
      "expansion": "Ramsey's theorem (countable and uncountable, plural Ramsey's theorems)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "A (version of a) theorem concerning the existence of cliques in a labelled complete graph.",
        "The theorem that any graph labelling (with colours) of a sufficiently large complete graph contains monochromatic cliques."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "clique",
          "clique"
        ],
        [
          "complete graph",
          "complete graph"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A (version of a) theorem concerning the existence of cliques in a labelled complete graph.",
        "The theorem that any graph labelling (with colours) of a sufficiently large complete graph contains monochromatic cliques."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "A (version of a) theorem concerning the existence of cliques in a labelled complete graph.",
        "The theorem that any graph labelling (with colours) of an infinite complete graph contains at least one infinite monochromatic clique."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "clique",
          "clique"
        ],
        [
          "complete graph",
          "complete graph"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A (version of a) theorem concerning the existence of cliques in a labelled complete graph.",
        "The theorem that any graph labelling (with colours) of an infinite complete graph contains at least one infinite monochromatic clique."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "sense": "finite version of theorem",
      "word": "finite Ramsey's theorem"
    },
    {
      "sense": "infinite version of theorem",
      "word": "infinite Ramsey's theorem"
    }
  ],
  "wikipedia": [
    "Frank P. Ramsey",
    "Ramsey's theorem"
  ],
  "word": "Ramsey's theorem"
}

Download raw JSONL data for Ramsey's theorem meaning in All languages combined (2.2kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-05-29 from the enwiktionary dump dated 2025-05-20 using wiktextract (e937b02 and f1c2b61). 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.