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What's this kind of proof called?

What's the name of the style of proof in which you: 1) make an assumption, 2) demonstrate that it leads to a contradiction, and 3) conclude that your initial assumption was false?

(The example I remember from Uspensky's text was proving that there exists no standard formula for solving 5th degree polynomial equations.)

6 個解答

相關度
  • 1 十年前
    最愛解答

    Proof by contradiction or indirect proof

  • 1 十年前

    You can say this is reductio ad absurdum. But herein you need only finate ( 2/3 ) possibilities and eliminate one by one all expect one and thus prove that since other options are invalid only this last options is correct.

  • ?
    Lv 7
    1 十年前

    as said before

    proof by contradiction, or, in Latin "reductio ad absurdum"

    Actually, I use this method on most of my proofs.

  • 1 十年前

    This is an indirect proof. It is a part of deductive reasoning.

  • 1 十年前

    'Reductio ad Absurdum'

  • 1 十年前

    thats called proof by contradiction or contradiction simply..!!

    =)

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