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Elise_Conolly comments on Shut up and do the impossible! - Less Wrong
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I don't really understand what benefit there is to the mental catagory of impossible-but-not-mathematically impossible. Is there a subtle distinction between that and just "very hard" that I'm missing? Somehow "Shut up and do the very hard" doesn't have quite the same ring to it.
Agreed, but this is for things that seem impossible, and might actually be impossible, but you can't prove that it is. For when banging your head against it really is worth the risk.