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

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When authors discover flaws in their published ideas, they face a dilemma regarding how to address the issue. The discussion highlights the importance of transparency, with some participants admiring authors who openly acknowledge their mistakes. In fields like mathematics, where precision is critical, admitting errors can be particularly challenging. The conversation also references the Bogdanov brothers as a controversial example of how to handle flawed work. Ultimately, authors should prioritize honesty and integrity in their scholarly contributions.
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http://arxiv.org/abs/math/0511544v3"
 
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...with an error in its proof.
 
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?
 

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