History of math question: what are examples of 'proofs' that failed to prove what they were meant to prove (some fatal flaw in the argument) but introduced new techniques and ideas that turned out to be even more interesting and fruitful later than the original theorem?
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Replying to @cdutilhnovaes
Some of the answers to this MO question (and the linked ones) might qualify:https://mathoverflow.net/questions/879/most-interesting-mathematics-mistake …
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