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I've pointed out before that the way even mathematics very often proceeds is to have an intuition about something and then find a way of stating then proving it - sometimes by very indirect means. All the machinery is there to do the stating/proving bit.

More widely, that's what the tools of rationality are for: backing up our intuitions. Double-checking, as your example says. They don't help if you don't use them ...

by Colman (colman at eurotrib.com) on Wed Oct 30th, 2013 at 04:45:21 AM EST

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