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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.

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
Science
Using
Art
Material
May
Increase
Indirectly
Wells
Materials
Promotes
Well
Comfort
Crude
Even
Development
Commonplace
Way
Word
Increases
Men
Happiness
Useful

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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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Exposition, criticism, appreciation, is work for second-rate minds.
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Young men should prove theorems, old men should write books.
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I wrote a great deal during the next ten [early] years,but very little of any importance there are not more than four or five papers which I can still remember with some satisfaction.
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Chess problems are the hymn-tunes of mathematics.
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The mathematician's patterns, like the painter's or the poet's, must be beautiful.
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No mathematician should ever allow himself to forget that mathematics, more than any other art or science, is a young man's game
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A mathematician, like a painter or a poet, is a maker of patterns.
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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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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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Bradman is a whole class above any batsman who has ever lived: if Archimedes, Newton and Gauss remain in the Hobbs class, I have to admit the possibility of a class above them, which I find difficult to imagine. They had better be moved from now on into the Bradman class.
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Most people can do nothing at all well
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A chess problem is simply an exercise in pure mathematics.
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A science is said to be useful if its development tends to accentuate the existing inequalities in the distribution of wealth, or more directly promotes the destruction of human life.
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Good work is not done by 'humble' men
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As Littlewood said to me once [of the ancient Greeks], they are not clever school boys or scholarship candidates, but Fellows of another college.
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Bombs are probably more merciful than bayonets
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The study of mathematics is, if an unprofitable, a perfectly harmless and innocent occupation.
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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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I was at my best at a little past forty, when I was a professor at Oxford.
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