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"The mistakes and unresolved difficulties of the past in mathematics have always been the opportunities of its future."
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"I should point out, however, that at first some difficulty was experienced in observing the phenomena predicted by the theory, owing to the extreme smallness of the variations in the period of oscillation."
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"The fundamental laws necessary for the mathematical treatment of a large part of physics and the whole of chemistry are thus completely known, and the difficulty lies only in the fact that application of these laws leads to equations that are too complex to be solved."
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"It's not so easy... it's not possible."
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"Perpetual pushing and assurance put a difficulty out of countenance and make a seeming difficulty gives way."
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"There are no insuperable constitutional difficulties."
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"I've always had difficulties with female characters."
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"The best way out of a difficulty is through it."
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"It does not do to use it with forms whose origin is intimately bound up with a specific material simply because no technical difficulties stand in the way."
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"The difficulty is capturing surprise on film."
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"The mistakes and unresolved difficulties of the past in mathematics have always been the opportunities of its future."
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"I have always hated machinery, and the only machine I ever understood was a wheelbarrow, and that but imperfectly."
Machine
"Science makes no pretension to eternal truth or absolute truth."
Science
"Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions."
Argument
"The mistakes and unresolved difficulties of the past in mathematics have always been the opportunities of its future."
Difficulty
"Fashion as King is sometimes a very stupid ruler."
Fashion
"Time makes fools of us all. Our only comfort is that greater shall come after us."
Time
"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
"Guided only by their feeling for symmetry, simplicity, and generality, and an indefinable sense of the fitness of things, creative mathematicians now, as in the past, are inspired by the art of mathematics rather than by any prospect of ultimate usefulness."
Art
"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
"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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