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JoshuaZ comments on Open thread, Aug. 10 - Aug. 16, 2015 - Less Wrong Discussion
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Have you never seen an apparently valid mathematical proof that you later found an error in?
It's common sense to infer that someone is talking about valid proofs when they talk about believing in proofs.
That is the problem in a nutshell: how do you know it is a valid proof? All the time one thinks the proof is valid and it turns out one is wrong.