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"The longer mathematics lives the more abstract - and therefore, possibly also the more practical - it becomes."
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"I have in later years taken to Euclid, Whitehead, Bertrand Russell, in an elemental way."
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Personal Development
"No more Lastrygonians. Ella fluttered down and landed next to them. "Six minus six is zero. Spears are good for subtraction, yep."
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"The study of mathematics, like the Nile, begins in minuteness but ends in magnificence."
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Personal Development
"I was on the mathematics faculty at M.I.T. from 1951 through until I resigned in the spring of 1959."
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Personal Development
"In mathematics we have long since drawn the rein, and given over a hopeless race."
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Personal Development
"The flowering of geometry."
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Personal Development
"The square root of I is I."
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Personal Development
"The definition of a good mathematical problem is the mathematics it generates rather than the problem itself."
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Personal Development
"Mathematics doesn't care about those beyond the numbers."
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Personal Development
"I tried to fit it in with some previous broad conceptual understanding of some part of mathematics that would clarify the particular problem I was thinking about."
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"The mistakes and unresolved difficulties of the past in mathematics have always been the opportunities of its future."
Difficulty
"I have always hated machinery, and the only machine I ever understood was a wheelbarrow, and that but imperfectly."
Machine
"Fashion as King is sometimes a very stupid ruler."
Fashion
"If indeed, as Hilbert asserted, mathematics is a meaningless game played with meaningless marks on paper, the only mathematical experience to which we can refer is the making of marks on paper."
Experience
"The pursuit of pretty formulas and neat theorems can no doubt quickly degenerate into a silly vice, but so can the quest for austere generalities which are so very general indeed that they are incapable of application to any particular."
Doubt
"Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions."
Argument
"The longer mathematics lives the more abstract - and therefore, possibly also the more practical - it becomes."
Mathematics
"Science makes no pretension to eternal truth or absolute truth."
Science
""Obvious" is the most dangerous word in mathematics."
Mathematics
"Out of fifty mathematical papers presented in brief at such a meeting, it is a rare mathematician indeed who really understands what more than half a dozen are about."
Meeting
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