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Math Help - Reductio ad absurdum

  1. #1
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    Reductio ad absurdum

    After showing that a given hypothesis leads to a false statement, algebraically, for example, is it necessary to point out the contradiction or is it sufficient to end the proof at that point? I handed in an assignment recently and the marker wrote in that I had to put in some sort of statement indicating that a contradiction had been reached, but I didn't lose any marks.

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  2. #2
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    It's like I always say - people find English easier to read than Mathematics... So I would give the explanation at the end.
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  3. #3
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    Quote Originally Posted by Noxide View Post
    After showing that a given hypothesis leads to a false statement, algebraically, for example, is it necessary to point out the contradiction or is it sufficient to end the proof at that point? I handed in an assignment recently and the marker wrote in that I had to put in some sort of statement indicating that a contradiction had been reached, but I didn't lose any marks.

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    I think the marker's right, in particular with involved proof. Do indicate always where the contradiction has been reached and what's been contradicted.

    Tonio
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  4. #4
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    If you want to be really preicse, then you should finish with something like "This contradicts the assumption that..."
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