Quote

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

Change background

T
T
T

Change font

TAGS & TOPICS

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
Whole
Mainly
Applied
Mathematical
Useful
Technique
Mathematics
Pure
Distinctly
Taught
Sensual

More quotes by G. H. Hardy

Image
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
Image
I count Maxwell and Einstein, Eddington and Dirac, among real mathematicians. The great modern achievements of applied mathematics have been in relativity and quantum mechanics, and these subjects are at present at any rate, almost as useless as the theory of numbers.
G. H. Hardy
Image
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
Image
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
Image
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
Image
In [great mathematics] there is a very high degree of unexpectedness, combined with inevitability and economy.
G. H. Hardy
Image
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
Image
Exposition, criticism, appreciation, is work for second-rate minds.
G. H. Hardy
Image
The mathematician's patterns, like the painter's or the poet's, must be beautiful.
G. H. Hardy
Image
Bombs are probably more merciful than bayonets
G. H. Hardy
Image
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.
G. H. Hardy
Image
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
Image
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
Image
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
Image
Good work is not done by 'humble' men
G. H. Hardy
Image
A mathematician, like a painter or a poet, is a maker of patterns.
G. H. Hardy
Image
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
Image
The case for my life... is this: that I have added something to knowledge, and helped others to add more
G. H. Hardy
Image
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'.
G. H. Hardy
Image
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