"One of the things that really bothers me is that Americans don't have any sense of history. The majority of Americans don't have any idea of where we've come from, so they naturally succumb to the kind of cliche version that Ronald Reagan represented."

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The question you raise, 'How can such a formulation lead to computations?' doesn't bother me in the least! Throughout my whole life as a mathematician, the possibility of making explicit, elegant computations has always come out by itself, as a byproduct of a thorough conceptual understanding of what was going on. Thus I never bothered about whether what would come out would be suitable for this or that, but just tried to understand - and it always turned out that understanding was all that mattered.

— Alexander Grothendieck