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Chess problems are the hymn-tunes of mathematics.
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
Problem
Hymn
Hymns
Tunes
Chess
Mathematics
Problems
More quotes by G. H. Hardy
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.
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
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
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.
G. H. Hardy
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.
G. H. Hardy
Asked if he believes in one G-d, a mathematician answered: Yes, up to isomorphism.
G. H. Hardy
No mathematician should ever allow himself to forget that mathematics, more than any other art or science, is a young man's game
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
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
... 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
Exposition, criticism, appreciation, is work for second-rate minds.
G. H. Hardy
All analysts spend half their time hunting through the literature for inequalities which they want to use and cannot prove.
G. H. Hardy
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.
G. H. Hardy
I do not know an instance of a major mathematical advance initiated by a man past fifty
G. H. Hardy
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.
G. H. Hardy
In [great mathematics] there is a very high degree of unexpectedness, combined with inevitability and economy.
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
The public does not need to be convinced that there is something in mathematics.
G. H. Hardy
The mathematician's patterns, like the painter's or the poet's, must be beautiful.
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
