No discovery of mine has made, or is likely to make, directly or indirectly, for good or ill, the least difference to… — G. H. Hardy Copy Share Image
When the world is mad, a mathematician may find in mathematics an incomparable anodyne. For mathematics is, of all the arts and… — G. H. Hardy Copy Share Image
I propose to put forward an apology for mathematics; and I may be told that it needs none, since there are now… — G. H. Hardy Copy Share Image
If intellectual curiosity, professional pride, and ambition are the dominant incentives to research, then assuredly no one has a fairer chance of… — G. H. Hardy Copy Share Image
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 Copy Share Image
If a man is in any sense a real mathematician, then it is a hundred to one that his mathematics will be… — G. H. Hardy Copy Share Image
It is rather astonishing how little practical value scientific knowledge has for ordinary men, how dull and commonplace such of it as… — G. H. Hardy Copy Share Image
The study of mathematics is, if an unprofitable, a perfectly harmless and innocent occupation. — G. H. Hardy Copy Share Image
Mathematics may, like poetry or music, "promote and sustain a lofty habit of mind." — G. H. Hardy Copy Share Image
I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which… — G. H. Hardy Copy Share Image
I wrote a great deal during the next ten [early] years,but very little of any importance; there are not more than four… — G. H. Hardy Copy Share Image
A science or an art may be said to be "useful" if its development increases, even indirectly, the material well-being and comfort… — G. H. Hardy Copy Share Image
Sometimes one has to say difficult things, but one ought to say them as simply as one knows how. — G. H. Hardy Copy Share Image
The primes are the raw material out of which we have to build arithmetic, and Euclid's theorem assures us that we have… — G. H. Hardy Copy Share Image
Greek mathematics is the real thing. The Greeks first spoke a language which modern mathematicians can understand... So Greek mathematics is 'permanent',… — G. H. Hardy Copy Share Image
I was at my best at a little past forty, when I was a professor at Oxford. — G. H. Hardy Copy Share Image
A man who sets out to justify his existence and his activities has to distinguish two different questions. The first is whether… — G. H. Hardy Copy Share Image
Good work is no done by "humble" men. It is one of the first duties of a professor, for example, in any… — G. H. Hardy Copy Share Image
A mathematician ... has no material to work with but ideas, and so his patterns are likely to last longer, since ideas… — G. H. Hardy Copy Share Image
What we do may be small, but it has a certain character of permanence; and to have produced anything of the slightest… — G. H. Hardy Copy Share Image
A science is said to be useful if its development tends to accentuate the existing inequalities in the distribution of wealth, or… — G. H. Hardy Copy Share Image
I count Maxwell and Einstein, Eddington and Dirac, among "real" mathematicians. The great modern achievements of applied mathematics have been in relativity… — G. H. Hardy Copy Share Image
The mathematician is in much more direct contact with reality. ... [Whereas] the physicist's reality, whatever it may be, has few or… — G. H. Hardy Copy Share Image
Cricket is the only game where you are playing against eleven of the other side and ten of your own. — G. H. Hardy Copy Share Image
The "seriousness" of a mathematical theorem lies, not in its practical consequences, which are usually negligible, but in the significance of the mathematical ideas… — G. H. Hardy Copy Share Image
No discovery of mine has made, or is likely to make, directly or indirectly, for good or ill, the least difference to the amenity… — G. H. Hardy Copy Share Image
It is a melancholy experience for a professional mathematician to find himself writing about mathematics. The function of a mathematician is to do something,… — G. H. Hardy Copy Share Image
Beauty is the first test: there is no permanent place in the world for ugly mathematics. — G. H. Hardy Copy Share Image
They [formulae 1.10 - 1.12 of Ramanujan] must be true because, if they were not true, no one would have had the imagination to invent them. — G. H. Hardy Copy Share Image
When the world is mad, a mathematician may find in mathematics an incomparable anodyne. For mathematics is, of all the arts and sciences, the… — G. H. Hardy Copy Share Image
Asked if he believes in one G-d, a mathematician answered: "Yes, up to isomorphism". — G. H. Hardy Copy Share Image
No one should ever be bored. … One can be horrified, or disgusted, but one can’t be bored. — G. H. Hardy Copy Share Image
I propose to put forward an apology for mathematics; and I may be told that it needs none, since there are now few studies… — G. H. Hardy Copy Share Image
For my part, it is difficult for me to say what I owe to Ramanujan - his originality has been a constant source of… — G. H. Hardy Copy Share Image
A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they… — G. H. Hardy Copy Share Image
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