What should authors do when they realize their published idea is flawed?

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http://arxiv.org/abs/math/0511544v3"
 
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neutrino said:
...with an error in its proof.
:biggrin:
 
Count Iblis said:
http://arxiv.org/abs/math/0511544v3"

What was this even about?
 
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http://arxiv.org/abs/math/0511544v2"
 
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actually, i admire the author for being so forthright. mathematics is an exacting discipline, but in the less exacting disciplines (like science and engineering), you might think that this should happen more often.

some author publishes an idea that he/she later comes to the conclusion is crap. what's an author to do? follow the example of the Bogdanov brothers?