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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
Hymns
Tunes
Chess
Mathematics
Problems
Science
Problem
Hymn
More quotes by 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
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
The case for my life... is this: that I have added something to knowledge, and helped others to add more
G. H. Hardy
I was at my best at a little past forty, when I was a professor at Oxford.
G. H. Hardy
In [great mathematics] there is a very high degree of unexpectedness, combined with inevitability and economy.
G. H. Hardy
No one has yet discovered any warlike purpose to be served by the theory of numbers or relativity, and it seems unlikely that anyone will do so for many years.
G. H. Hardy
The mathematician's patterns, like the painter's or the poet's, must be beautiful.
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
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
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
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.
G. H. Hardy
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.
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
Sometimes one has to say difficult things, but one ought to say them as simply as one knows how.
G. H. Hardy
A chess problem is simply an exercise in pure mathematics.
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
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
Young men should prove theorems, old men should write books.
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
Exposition, criticism, appreciation, is work for second-rate minds.
G. H. Hardy