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There'a a story that when someone wrote up a famous mathematician's work (Euler?), he found many errors, some quite serious. But all the theorems were true anyway.

Sounds like Tao's third stage, of informed intuition.



Back in Euler's time there as a lot of informality. The rigor of the second half of the 19th century was still some time in the future.


It's still incredibly painful as a learner though when things don't quite pan out. You start gaslighting yourself and then handwaved/convince yourself away that this must be true given how consistent all the "downstream" work is, and that you just don't fully understand it.

So, I agree with the author that this is super helpful, even if we know the proofs are "true" in the end




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