"infinite descent" meaning in All languages combined

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  "lang_code": "en",
  "pos": "noun",
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          "name": "Mathematics",
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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",
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        [
          "mathematics",
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        [
          "proof by contradiction",
          "proof by contradiction"
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        [
          "contradiction",
          "contradiction"
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      "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."
      ],
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        "uncountable"
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        "mathematics",
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      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "äärettömän laskeutumisen menetelmä"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "méthode de descente infinie"
        },
        {
          "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"
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        "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"
        ],
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          "proof by contradiction",
          "proof by contradiction"
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      "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."
      ],
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  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "äärettömän laskeutumisen menetelmä"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "méthode de descente infinie"
    },
    {
      "code": "de",
      "lang": "German",
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        "masculine"
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      "word": "unendlicher Abstieg"
    },
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      "code": "pl",
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        "feminine"
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      "word": "metoda nieskończonego schodzenia"
    }
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  "word": "infinite descent"
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