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"Mathematics is a game played according to certain simple rules with meaningless marks on paper."
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"You can not apply mathematics as long as words still becloud reality."
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"Mathematics doesn't care about those beyond the numbers."
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"We are servants rather than masters in mathematics."
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"I have in later years taken to Euclid, Whitehead, Bertrand Russell, in an elemental way."
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"The mathematics is not there till we put it there."
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"In my schooling through high school, I excelled mainly in chemistry, physics and mathematics."
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"Pure mathematics is on the whole distinctly more useful than applied. For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics."
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"I was fortunate to find an extraordinary mathematics and applied mathematics program in Toronto."
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"Well, some mathematics problems look simple, and you try them for a year or so, and then you try them for a hundred years, and it turns out that they're extremely hard to solve."
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"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 infinite! No other question has ever moved so profoundly the spirit of man."
Man
"The art of doing mathematics consists in finding that special case which contains all the germs of generality."
Art
"No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite."
Idea
"A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street."
First
"Mathematics is a game played according to certain simple rules with meaningless marks on paper."
Mathematics
"He who seeks for methods without having a definite problem in mind seeks in the most part in vain."
Mind
"If one were to bring ten of the wisest men in the world together and ask them what was the most stupid thing in existence, they would not be able to discover anything so stupid as astrology."
Men
"The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science."
Science
"Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country."
Country
"No one shall expel us from the paradise that Cantor has created for us."
Paradise
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