"infinite descent" meaning in All languages combined

See infinite descent on Wiktionary

Noun [English]

Head templates: {{en-noun|-}} infinite descent (uncountable)
  1. (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 Categories (topical): Mathematics Translations (Translations): äärettömän laskeutumisen menetelmä (Finnish), méthode de descente infinie [feminine] (French), unendlicher Abstieg [masculine] (German), metoda nieskończonego schodzenia [feminine] (Polish)
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        "(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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          "code": "fi",
          "lang": "Finnish",
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          "word": "äärettömän laskeutumisen menetelmä"
        },
        {
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          "word": "unendlicher Abstieg"
        },
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          "sense": "Translations",
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            "feminine"
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          "word": "metoda nieskończonego schodzenia"
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      "lang": "Finnish",
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      "word": "äärettömän laskeutumisen menetelmä"
    },
    {
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      "word": "méthode de descente infinie"
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      "word": "unendlicher Abstieg"
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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