"aleph-null" meaning in English

{
  "etymology_text": "From its mathematical symbol ℵ₀, from א, aleph, the first letter of the Hebrew alphabet.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "aleph-null (uncountable)",
      "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 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": "Mandarin terms with redundant transliterations",
          "parents": [
            "Terms with redundant transliterations",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Infinity",
          "orig": "en:Infinity",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Set theory",
          "orig": "en:Set theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The first of the transfinite cardinal numbers; corresponds to the number of natural numbers."
      ],
      "id": "en-aleph-null-en-name-2GNM2oUY",
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "transfinite",
          "transfinite"
        ],
        [
          "cardinal number",
          "cardinal number"
        ],
        [
          "natural numbers",
          "natural numbers"
        ]
      ],
      "raw_glosses": [
        "(set theory) The first of the transfinite cardinal numbers; corresponds to the number of natural numbers."
      ],
      "related": [
        {
          "word": "aleph-one"
        }
      ],
      "synonyms": [
        {
          "sense": "first transfinite cardinal number",
          "word": "aleph-naught"
        },
        {
          "sense": "first transfinite cardinal number",
          "word": "aleph-nought"
        },
        {
          "sense": "first transfinite cardinal number",
          "word": "aleph-zero"
        },
        {
          "sense": "first transfinite cardinal number",
          "word": "ℵ₀"
        }
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ],
      "translations": [
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "ālièfū-líng",
          "sense": "first of the transfinite cardinal numbers",
          "word": "阿列夫零"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "first of the transfinite cardinal numbers",
          "word": "alef-nolla"
        },
        {
          "code": "he",
          "lang": "Hebrew",
          "roman": "álef éfes",
          "sense": "first of the transfinite cardinal numbers",
          "tags": [
            "masculine"
          ],
          "word": "א' אֶפֶס"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "first of the transfinite cardinal numbers",
          "word": "alef-nulla"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "first of the transfinite cardinal numbers",
          "tags": [
            "masculine"
          ],
          "word": "alef zero"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "first of the transfinite cardinal numbers",
          "tags": [
            "masculine"
          ],
          "word": "alef zero"
        }
      ],
      "wikipedia": [
        "aleph-null"
      ]
    }
  ],
  "word": "aleph-null"
}

{
  "etymology_text": "From its mathematical symbol ℵ₀, from א, aleph, the first letter of the Hebrew alphabet.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "aleph-null (uncountable)",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "related": [
    {
      "word": "aleph-one"
    }
  ],
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English entries with topic categories using raw markup",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English terms with non-redundant non-automated sortkeys",
        "English uncountable nouns",
        "Mandarin terms with redundant transliterations",
        "en:Infinity",
        "en:Set theory"
      ],
      "glosses": [
        "The first of the transfinite cardinal numbers; corresponds to the number of natural numbers."
      ],
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "transfinite",
          "transfinite"
        ],
        [
          "cardinal number",
          "cardinal number"
        ],
        [
          "natural numbers",
          "natural numbers"
        ]
      ],
      "raw_glosses": [
        "(set theory) The first of the transfinite cardinal numbers; corresponds to the number of natural numbers."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ],
      "wikipedia": [
        "aleph-null"
      ]
    }
  ],
  "synonyms": [
    {
      "sense": "first transfinite cardinal number",
      "word": "aleph-naught"
    },
    {
      "sense": "first transfinite cardinal number",
      "word": "aleph-nought"
    },
    {
      "sense": "first transfinite cardinal number",
      "word": "aleph-zero"
    },
    {
      "sense": "first transfinite cardinal number",
      "word": "ℵ₀"
    }
  ],
  "translations": [
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "ālièfū-líng",
      "sense": "first of the transfinite cardinal numbers",
      "word": "阿列夫零"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "first of the transfinite cardinal numbers",
      "word": "alef-nolla"
    },
    {
      "code": "he",
      "lang": "Hebrew",
      "roman": "álef éfes",
      "sense": "first of the transfinite cardinal numbers",
      "tags": [
        "masculine"
      ],
      "word": "א' אֶפֶס"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "first of the transfinite cardinal numbers",
      "word": "alef-nulla"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "first of the transfinite cardinal numbers",
      "tags": [
        "masculine"
      ],
      "word": "alef zero"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "first of the transfinite cardinal numbers",
      "tags": [
        "masculine"
      ],
      "word": "alef zero"
    }
  ],
  "word": "aleph-null"
}