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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
Math
Prove
Spend
Literature
Half
Inequalities
Use
Analysts
Cannot
Hunting
Time
Inequality
More quotes by G. H. Hardy
The case for my life... is this: that I have added something to knowledge, and helped others to add more
G. H. Hardy
Mathematics is not a contemplative but a creative subject no one can draw much consolation from it when he has lost the power or the desire to create and that is apt to happen to a mathematician rather soon. It is a pity, but in that case he does not matter a great deal anyhow, and it would be silly to bother about him.
G. H. Hardy
Good work is not done by 'humble' men
G. H. Hardy
It is not worth an intelligent man's time to be in the majority. By definition, there are already enough people to do that.
G. H. Hardy
Chess problems are the hymn-tunes of mathematics.
G. H. Hardy
As Littlewood said to me once [of the ancient Greeks], they are not clever school boys or scholarship candidates, but Fellows of another college.
G. H. Hardy
Cricket is the only game where you are playing against eleven of the other side and ten of your own.
G. H. Hardy
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.
G. H. Hardy
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.
G. H. Hardy
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.
G. H. Hardy
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.
G. H. Hardy
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.
G. H. Hardy
... Philosophy proper is a subject, on the one hand so hopelessly obscure, on the other so astonishingly elementary, that there knowledge hardly counts.
G. H. Hardy
In [great mathematics] there is a very high degree of unexpectedness, combined with inevitability and economy.
G. H. Hardy
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.
G. H. Hardy
Sometimes one has to say difficult things, but one ought to say them as simply as one knows how.
G. H. Hardy
A mathematician, like a painter or a poet, is a maker of patterns.
G. H. Hardy
I do not know an instance of a major mathematical advance initiated by a man past fifty
G. H. Hardy
Exposition, criticism, appreciation, is work for second-rate minds.
G. H. Hardy
Perhaps five or even ten per cent of men can do something rather well. It is a tiny minority who can do anything really well, and the number of men who can do two things well is negligible. If a man has any genuine talent, he should be ready to make almost any sacrifice in order to cultivate it to the full.
G. H. Hardy