"denumerable" meaning in English

See denumerable in All languages combined, or Wiktionary

Adjective

Etymology: The word was introduced around the beginning of the 20th century, from Latin denumerō (“to count out”) + -able. Etymology templates: {{root|en|ine-pro|*nem-}}, {{af|en|denumerō|-able|lang1=la|t1=to count out}} Latin denumerō (“to count out”) + -able Head templates: {{en-adj|-}} denumerable (not comparable)
  1. (mathematics) Capable of being assigned a bijection to the natural numbers. Applied to sets which are not finite, but have a one-to-one mapping to the natural numbers. Tags: not-comparable Categories (topical): Mathematics Synonyms: countable, countably infinite Derived forms: denumerability, non-denumerable Related terms: countable set, uncountable set, enumerable
    Sense id: en-denumerable-en-adj-nXEM4Hfr Topics: mathematics, sciences

Download JSON data for denumerable meaning in English (1.8kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "ine-pro",
        "3": "*nem-"
      },
      "expansion": "",
      "name": "root"
    },
    {
      "args": {
        "1": "en",
        "2": "denumerō",
        "3": "-able",
        "lang1": "la",
        "t1": "to count out"
      },
      "expansion": "Latin denumerō (“to count out”) + -able",
      "name": "af"
    }
  ],
  "etymology_text": "The word was introduced around the beginning of the 20th century, from Latin denumerō (“to count out”) + -able.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "denumerable (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "denumerability"
        },
        {
          "word": "non-denumerable"
        }
      ],
      "examples": [
        {
          "text": "The empty set is not denumerable because it is finite; the rational numbers are, surprisingly, denumerable because every possible fraction can be assigned a natural number and vice versa.",
          "type": "example"
        }
      ],
      "glosses": [
        "Capable of being assigned a bijection to the natural numbers. Applied to sets which are not finite, but have a one-to-one mapping to the natural numbers."
      ],
      "id": "en-denumerable-en-adj-nXEM4Hfr",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "natural numbers",
          "natural numbers"
        ],
        [
          "one-to-one",
          "one-to-one"
        ],
        [
          "mapping",
          "mapping"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Capable of being assigned a bijection to the natural numbers. Applied to sets which are not finite, but have a one-to-one mapping to the natural numbers."
      ],
      "related": [
        {
          "word": "countable set"
        },
        {
          "word": "uncountable set"
        },
        {
          "word": "enumerable"
        }
      ],
      "synonyms": [
        {
          "word": "countable"
        },
        {
          "word": "countably infinite"
        }
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "denumerable"
}
{
  "derived": [
    {
      "word": "denumerability"
    },
    {
      "word": "non-denumerable"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "ine-pro",
        "3": "*nem-"
      },
      "expansion": "",
      "name": "root"
    },
    {
      "args": {
        "1": "en",
        "2": "denumerō",
        "3": "-able",
        "lang1": "la",
        "t1": "to count out"
      },
      "expansion": "Latin denumerō (“to count out”) + -able",
      "name": "af"
    }
  ],
  "etymology_text": "The word was introduced around the beginning of the 20th century, from Latin denumerō (“to count out”) + -able.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "denumerable (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "related": [
    {
      "word": "countable set"
    },
    {
      "word": "uncountable set"
    },
    {
      "word": "enumerable"
    }
  ],
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English lemmas",
        "English terms with usage examples",
        "English uncomparable adjectives",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "The empty set is not denumerable because it is finite; the rational numbers are, surprisingly, denumerable because every possible fraction can be assigned a natural number and vice versa.",
          "type": "example"
        }
      ],
      "glosses": [
        "Capable of being assigned a bijection to the natural numbers. Applied to sets which are not finite, but have a one-to-one mapping to the natural numbers."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "natural numbers",
          "natural numbers"
        ],
        [
          "one-to-one",
          "one-to-one"
        ],
        [
          "mapping",
          "mapping"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Capable of being assigned a bijection to the natural numbers. Applied to sets which are not finite, but have a one-to-one mapping to the natural numbers."
      ],
      "synonyms": [
        {
          "word": "countable"
        },
        {
          "word": "countably infinite"
        }
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "denumerable"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-03-12 from the enwiktionary dump dated 2024-03-01 using wiktextract (68773ab and 5f6ddbb). 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.