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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
Time
Inequality
Math
Prove
Spend
Literature
Half
Inequalities
Use
Analysts
Cannot
Hunting
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Most people can do nothing at all well
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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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The study of mathematics is, if an unprofitable, a perfectly harmless and innocent occupation.
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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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Sometimes one has to say difficult things, but one ought to say them as simply as one knows how.
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A man who sets out to justify his existence and his activities has to distinguish two different questions. The first is whether the work which he does is worth doing and the second is why he does it (whatever its value may be).
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The public does not need to be convinced that there is something in mathematics.
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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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The case for my life... is this: that I have added something to knowledge, and helped others to add more
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In [great mathematics] there is a very high degree of unexpectedness, combined with inevitability and economy.
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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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A mathematician, like a painter or a poet, is a maker of patterns.
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Asked if he believes in one G-d, a mathematician answered: Yes, up to isomorphism.
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There is always more in one of Ramanujan's formulae than meets the eye, as anyone who sets to work to verify those which look the easiest will soon discover. In some the interest lies very deep, in others comparatively near the surface but there is not one which is not curious and entertaining.
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Greek mathematics is the real thing. The Greeks first spoke a language which modern mathematicians can understand... So Greek mathematics is 'permanent', more permanent even than Greek literature.
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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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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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In these days of conflict between ancient and modern studies, there must surely be something to be said for a study which did not begin with Pythagoras, and will not end with Einstein, but is the oldest and the youngest of all.
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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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The fact is there are few more popular subjects than mathematics. Most people have some appreciation of mathematics, just as most people can enjoy a pleasant tune.
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