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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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"The definition of a good mathematical problem is the mathematics it generates rather than the problem itself."
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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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"In my schooling through high school, I excelled mainly in chemistry, physics and mathematics."
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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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"Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions."
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"Few rounds.... I am damn good mathematician!2 999 999 999 999 999 999 + 11 999 999 999 999 999 999 = 14 999 999 999 999 999 998."
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"To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be."
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"You can not apply mathematics as long as words still becloud reality."
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"Whatever the course, whether the course was boring or interesting to me, whether I was talented in mathematics or not talented in languages, my parents expected A's."
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"The flowering of geometry."
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"I am interested in mathematics only as a creative art."
Art
"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."
Mathematics
"A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas."
Ideas
"It is not worth an intelligent man's time to be in the majority. By definition, there are already enough people to do that."
Time
"Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not."
Ideas
"There is no scorn more profound, or on the whole more justifiable, than that of the men who make for the men who explain. Exposition, criticism, appreciation, is work for second-rate minds."
Men
"Young men should prove theorems, old men should write books."
Men
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