"infinite descent" meaning in English

{
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      "expansion": "infinite descent (uncountable)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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          "kind": "other",
          "name": "English entries with incorrect language header",
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
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            "Formal sciences",
            "Sciences",
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      "glosses": [
        "A method of proof by contradiction that is used to prove that a statement must be false for all positive integers. By showing that if it is true for one integer, it must be true for a smaller integer, an infinite number of solutions are found and a contradiction is eventually reached."
      ],
      "id": "en-infinite_descent-en-noun-ZkINKHGZ",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "proof by contradiction",
          "proof by contradiction"
        ],
        [
          "contradiction",
          "contradiction"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A method of proof by contradiction that is used to prove that a statement must be false for all positive integers. By showing that if it is true for one integer, it must be true for a smaller integer, an infinite number of solutions are found and a contradiction is eventually reached."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "äärettömän laskeutumisen menetelmä"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "tags": [
            "masculine"
          ],
          "word": "unendlicher Abstieg"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "metoda nieskończonego schodzenia"
        }
      ]
    }
  ],
  "word": "infinite descent"
}

{
  "head_templates": [
    {
      "args": {
        "1": "-"
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      "expansion": "infinite descent (uncountable)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English uncountable nouns",
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        "en:Mathematics"
      ],
      "glosses": [
        "A method of proof by contradiction that is used to prove that a statement must be false for all positive integers. By showing that if it is true for one integer, it must be true for a smaller integer, an infinite number of solutions are found and a contradiction is eventually reached."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "proof by contradiction",
          "proof by contradiction"
        ],
        [
          "contradiction",
          "contradiction"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A method of proof by contradiction that is used to prove that a statement must be false for all positive integers. By showing that if it is true for one integer, it must be true for a smaller integer, an infinite number of solutions are found and a contradiction is eventually reached."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "äärettömän laskeutumisen menetelmä"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "unendlicher Abstieg"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "metoda nieskończonego schodzenia"
    }
  ],
  "word": "infinite descent"
}