"Intellect may arrive at certain inferences, but intellect is an unconsicous phenomenon. You are almost behaving sleepily. Intelligence is awakening, and unless you are fully awake, whatsoever you decide is bound to be wrong somewhere or other."

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I'm not the sort of person who does my mathematics writing on paper. I do that at the last stage of the game. I do my mathematics in my head. I sit down for a hard day's work and I write nothing all day. I just think. And I walk up and down because that helps keep me awake, it keeps the blood circulating, and I think and think.

— Michael Atiyah