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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
"Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions."
Argument
"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
"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
"It is the perennial youthfulness of mathematics itself which marks it off with a disconcerting immortality from the other sciences."
Immortality
"Science makes no pretension to eternal truth or absolute truth."
Science
"The longer mathematics lives the more abstract - and therefore, possibly also the more practical - it becomes."
Mathematics
""Obvious" is the most dangerous word in mathematics."
Mathematics
"The mistakes and unresolved difficulties of the past in mathematics have always been the opportunities of its future."
Difficulty
"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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"No difficulty can come to you (your way). If the mind wavers, difficulty will embrace you! That is all, the law of the universe is just this."
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Personal Development
"A man who dreads trials and difficulties cannot become a revolutionary. If he is to become a revolutionary with an indomitable fighting spirit, he must be tempered in the arduous struggle from his youth. As the saying goes, early training means more than late earning."
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Personal Development
"Evil is always possible. Goodness is a difficulty."
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Personal Development
"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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Personal Development
"If we wait until our lives are free from sorrow or difficulty, then we wait forever. And miss the entire point."
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Personal Development
"There is no doubt that I, also, had long been aware of the problem, i.e. producing X-ray interferences, before the inherent difficulties had finally been surmounted."
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Personal Development
"It is surmounting difficulties that makes heroes."
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Personal Development
"What parent has it easy? I just never make the difficulty of it an obstacle. I just do it."
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Personal Development
"The best way out of a difficulty is through it."
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Personal Development
"It is no secret that the Golf Foundation has had its difficulties."
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Personal Development
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