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## Main Question or Discussion Point

When I say almost true, I mean that many mathematicians believed the conjecture was true, and for the longest time they all struggled really hard to prove it and the (long) proofs almost made it through, except for one line that wasn't quite right. They all tried to fix that one line, and realized they couldn't. Then someone eventually came up with a really sophisticated counterexample to prove that the conjecture was, despite all the excitement and effort, in fact false.

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