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Not who you're looking for? Others named John Littlewood: British chess player
“It was Mr. Littlewood (I believe) who remarked that "every positive integer was one of his personal friends."”
“The Greeks first spoke a language which modern mathematicians can understand; as Littlewood said to me once, they are not clever schoolboys or "scholarship candidates", but "Fellows of another college".”
“A good mathematical joke is better, and better mathematics, than a dozen mediocre papers.”
“'The surprising thing about this paper is that a man who could write it--would.'”
“I read in the proof-sheets of Hardy on Ramanujan: 'As someone said, each of the positive integers was one of his personal friends.' My reaction was, 'I wonder who said that; I wish I had.' In the next proof-sheets I read (what now stands): 'It was Littlewood who said...' (What had happened was that Hardy had received the remark in silence and with a poker face, and I wrote it off as a dud....)”
“I recall once saying that when I had given the same lecture several times I couldn't help feeling that they really ought to know it by now.”
Quotes via Wikiquote (CC BY-SA), each with its original source.