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To be fair, many of the proof attempts that mathematicians do also have major flaws. Most get caught before getting published.
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But that's the actually important difference. Mathematicians have the toolset and processes to catch the flaws, random people using Claude don't.
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Trust isn’t a binary, and I can trust things I don’t understand enough that I can use them. OP was talking about needing to understand, which is quite a bit above the level of being able to validate enough to use for a task.
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