"uncountable set" meaning in English

{
  "forms": [
    {
      "form": "uncountable sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "uncountable set (plural uncountable sets)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "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 topic categories using raw markup",
          "parents": [
            "Entries with topic 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": "other",
          "name": "Japanese terms with redundant script codes",
          "parents": [
            "Terms with redundant script codes",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Infinity",
          "orig": "en:Infinity",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Set theory",
          "orig": "en:Set theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A set, containing infinite number of elements, whose elements can not be mapped one-to-one to the natural numbers. A set with a cardinality greater than that of the set of natural numbers."
      ],
      "id": "en-uncountable_set-en-noun-r3gufFPt",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "set",
          "set"
        ],
        [
          "infinite",
          "infinite"
        ],
        [
          "element",
          "element"
        ],
        [
          "one-to-one",
          "one-to-one"
        ],
        [
          "natural numbers",
          "natural numbers"
        ],
        [
          "cardinality",
          "cardinality"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A set, containing infinite number of elements, whose elements can not be mapped one-to-one to the natural numbers. A set with a cardinality greater than that of the set of natural numbers."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "infinite set that is not countable",
          "word": "不可數集"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "bùkěshǔjí",
          "sense": "infinite set that is not countable",
          "word": "不可数集"
        },
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "infinite set that is not countable",
          "tags": [
            "feminine"
          ],
          "word": "nespočetná množina"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "infinite set that is not countable",
          "tags": [
            "masculine"
          ],
          "word": "ensemble non dénombrable"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "infinite set that is not countable",
          "tags": [
            "feminine"
          ],
          "word": "überabzählbare Menge"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "infinite set that is not countable",
          "tags": [
            "masculine"
          ],
          "word": "insieme non numerabile"
        },
        {
          "code": "ja",
          "lang": "Japanese",
          "roman": "hikasanshūgō",
          "sense": "infinite set that is not countable",
          "word": "非可算集合"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "nesčótnoje mnóžestvo",
          "sense": "infinite set that is not countable",
          "tags": [
            "neuter"
          ],
          "word": "несчётное мно́жество"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "infinite set that is not countable",
          "tags": [
            "common-gender"
          ],
          "word": "överuppräknelig mängd"
        }
      ],
      "wikipedia": [
        "uncountable set"
      ]
    }
  ],
  "word": "uncountable set"
}

{
  "forms": [
    {
      "form": "uncountable sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "uncountable set (plural uncountable sets)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with topic categories using raw markup",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "Japanese terms with redundant script codes",
        "en:Infinity",
        "en:Mathematics",
        "en:Set theory"
      ],
      "glosses": [
        "A set, containing infinite number of elements, whose elements can not be mapped one-to-one to the natural numbers. A set with a cardinality greater than that of the set of natural numbers."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "set",
          "set"
        ],
        [
          "infinite",
          "infinite"
        ],
        [
          "element",
          "element"
        ],
        [
          "one-to-one",
          "one-to-one"
        ],
        [
          "natural numbers",
          "natural numbers"
        ],
        [
          "cardinality",
          "cardinality"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A set, containing infinite number of elements, whose elements can not be mapped one-to-one to the natural numbers. A set with a cardinality greater than that of the set of natural numbers."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "uncountable set"
      ]
    }
  ],
  "translations": [
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "infinite set that is not countable",
      "word": "不可數集"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "bùkěshǔjí",
      "sense": "infinite set that is not countable",
      "word": "不可数集"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "infinite set that is not countable",
      "tags": [
        "feminine"
      ],
      "word": "nespočetná množina"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "infinite set that is not countable",
      "tags": [
        "masculine"
      ],
      "word": "ensemble non dénombrable"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "infinite set that is not countable",
      "tags": [
        "feminine"
      ],
      "word": "überabzählbare Menge"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "infinite set that is not countable",
      "tags": [
        "masculine"
      ],
      "word": "insieme non numerabile"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "roman": "hikasanshūgō",
      "sense": "infinite set that is not countable",
      "word": "非可算集合"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "nesčótnoje mnóžestvo",
      "sense": "infinite set that is not countable",
      "tags": [
        "neuter"
      ],
      "word": "несчётное мно́жество"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "infinite set that is not countable",
      "tags": [
        "common-gender"
      ],
      "word": "överuppräknelig mängd"
    }
  ],
  "word": "uncountable set"
}