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All analysts spend half their time hunting through the literature for inequalities which they want to use and cannot prove.
G. H. Hardy
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G. H. Hardy
Age: 70 †
Born: 1877
Born: February 7
Died: 1947
Died: December 1
Academic
Mathematician
University Teacher
Cranleigh
Surrey
G. H. Hardy
Godfrey Harold Hardy
Godfrey·Harold·Hardy
Godfrey Harold
Spend
Literature
Half
Inequalities
Use
Analysts
Cannot
Hunting
Time
Inequality
Math
Prove
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The study of mathematics is, if an unprofitable, a perfectly harmless and innocent occupation.
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The mathematician's patterns, like the painter's or the poet's, must be beautiful.
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I was at my best at a little past forty, when I was a professor at Oxford.
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A science or an art may be said to be useful if its development increases, even indirectly, the material well-being and comfort of men, it promotes happiness, using that word in a crude and commonplace way.
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If I could prove by logic that you would die in five minutes, I should be sorry you were going to die, but my sorrow would be very much mitigated by pleasure in the proof.
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It is not worth an intelligent man's time to be in the majority. By definition, there are already enough people to do that.
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A chess problem is simply an exercise in pure mathematics.
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It is hardly possible to maintain seriously that the evil done by science is not altogether outweighed by the good. For example, if ten million lives were lost in every war, the net effect of science would still have been to increase the average length of life.
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Most people can do nothing at all well
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What we do may be small, but it has a certain character of permanence and to have produced anything of the slightest permanent interest, whether it be a copy of verses or a geometrical theorem, is to have done something utterly beyond the powers of the vast majority of men.
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A month's intelligent instruction in the theory of numbes ought to be twice as instructive, twice as useful, and at least 10 times as entertaining as the same amount of 'calculus for engineers'.
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I do not know an instance of a major mathematical advance initiated by a man past fifty
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For my part, it is difficult for me to say what I owe to Ramanujan - his originality has been a constant source of suggestion to me ever since I knew him, and his death is one of the worst blows I have ever had.
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Sometimes one has to say difficult things, but one ought to say them as simply as one knows how.
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A mathematician ... has no material to work with but ideas, and so his patterns are likely to last longer, since ideas wear less with time than words.
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I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which we prove, and which we describe grandiloquently as our creations, are simply the notes of our observations.
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317 is a prime, not because we think so, or because our minds are shaped in one way rather than another, but because it is so, because mathematical reality is built that way.
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Bombs are probably more merciful than bayonets
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Asked if he believes in one G-d, a mathematician answered: Yes, up to isomorphism.
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Cricket is the only game where you are playing against eleven of the other side and ten of your own.
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