"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": [
            "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"
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          "source": "w"
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          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
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          "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 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 entries with topic categories using raw markup",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English nouns with unknown or uncertain plurals",
        "English terms with non-redundant non-automated sortkeys",
        "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"
}