"generalized continuum hypothesis" meaning in English

{
  "etymology_text": "Generalization of the continuum hypothesis.",
  "head_templates": [
    {
      "args": {
        "1": "?"
      },
      "expansion": "generalized continuum hypothesis",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Infinity",
          "orig": "en:Infinity",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Set theory",
          "orig": "en:Set theory",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "The hypothesis that, for each ordinal α, there is no cardinal number strictly between א_α and 2^(א_α), i.e. 2^(א_α)=א_(α+1)."
      ],
      "id": "en-generalized_continuum_hypothesis-en-noun-VxeFeSF3",
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "hypothesis",
          "hypothesis"
        ],
        [
          "ordinal",
          "ordinal"
        ],
        [
          "cardinal number",
          "cardinal number"
        ]
      ],
      "raw_glosses": [
        "(set theory) The hypothesis that, for each ordinal α, there is no cardinal number strictly between א_α and 2^(א_α), i.e. 2^(א_α)=א_(α+1)."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ]
    }
  ],
  "word": "generalized continuum hypothesis"
}

{
  "etymology_text": "Generalization of the continuum hypothesis.",
  "head_templates": [
    {
      "args": {
        "1": "?"
      },
      "expansion": "generalized continuum hypothesis",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English nouns with unknown or uncertain plurals",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Infinity",
        "en:Set theory"
      ],
      "glosses": [
        "The hypothesis that, for each ordinal α, there is no cardinal number strictly between א_α and 2^(א_α), i.e. 2^(א_α)=א_(α+1)."
      ],
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "hypothesis",
          "hypothesis"
        ],
        [
          "ordinal",
          "ordinal"
        ],
        [
          "cardinal number",
          "cardinal number"
        ]
      ],
      "raw_glosses": [
        "(set theory) The hypothesis that, for each ordinal α, there is no cardinal number strictly between א_α and 2^(א_α), i.e. 2^(א_α)=א_(α+1)."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ]
    }
  ],
  "word": "generalized continuum hypothesis"
}