Alexander Grothendieck Quotes
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.

Quotes to Explore
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I think I felt compelled in a way because if I hadn't written the part, I never would have been offered the part. There are at least 10 guys who would have been offered the part before me.
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I enjoy pushing my characters to the limit. No matter how far out there I go, I look for things that make the characters human.
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My dear, did you ever stop to think what a wonderful bunker you would make?
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The true character of ministry is a servants heart.
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The reason that the all-American boy prefers beauty to brains is that he can see better than he can think.
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From that moment on, the newspaper became a highly lucrative investment for those with a talent for making money or for publishers wanting to gain a fortune.
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Game-playing is more fun when it's virtual because you're more successful. ... in reality, only one person gets to be LeBron.
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Unless we provide consequences for activities and actions that are wrong, we are not going to get any truth.
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The desire for self-expression afflicts people when they feel there is something of themselves which is not getting through to the outside world.
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There's six of us, and they didn't treat any of us different. They loved us the same. They treated us all the same, and I just want to be like them when I grow up.
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Use the same measure for selling that you use for purchasing.
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I've always romanticized the late '40s and '50s - the cars, jazz, the open roads and lack of pollution. Now there are more vehicles, less hitchhikers, more billboards and power lines and stuff. People wrote wonderful long letters that took months to receive, and now everything is email.
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Football games on Friday nights followed by field parties every weekend was how I spent my high school years.
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For my part, I confess I seldom listen to the players: one has so much to do, in looking about and finding out one's acquaintance, that, really, one has no time to mind the stage. One merely comes to meet one's friends, and show that one's alive.
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You measure a democracy by the freedom it gives its dissidents, not the freedom it gives its assimilated conformists.
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When you have a celebrity who is willing to shine his personal spotlight on the non-profit and can also speak articulately about the mission, that's really the best of both worlds.
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Judaism and Christianity in themselves are distinctly separate entities, to be sure; but when considering their influence on Western thought, we must bear in mind that Christianity alone, or almost alone, transmitted the Jewish share, simply by what it contained of it in its own, original constitution.
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The scene was attempted a second time, up on top of the fort, and cameras didn't even roll. Michael, though he wasn't admitting it, wasn't sure how to shoot the scene.
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Me personally, I don't think I'm even hot enough to be getting dissed.
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A nation's hope of lasting peace cannot be firmly based upon any race in armaments but rather upon just relations and honest understanding with all other nations.
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To expect the unexpected shows a thoroughly modern intellect.
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I was part of the generation that pushed the Internet. In fact, I broke as an artist in the U.S.A. because of the Internet.
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There's a magic that comes from playing entirely to who you are. I've got my specialist subject - in the Mastermind sense - and I wouldn't change it, or who I am.
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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.