I do not know an instance of a major mathematical advance initiated by a man past fifty — G. H. Hardy Copy Share Image
As history proves abundantly, mathematical achievement, whatever its intrinsic worth, is the most enduring of all. — G. H. Hardy Copy Share Image
The mathematician's patterns, like the painter's or the poet's, must be beautiful. — G. H. Hardy Copy Share Image
The fact is there are few more popular subjects than mathematics. Most people have some appreciation of mathematics, just as most people… — G. H. Hardy Copy Share Image
Pure mathematics is on the whole distinctly more useful than applied. For what is useful above all is technique, and mathematical technique… — 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
The "seriousness" of a mathematical theorem lies, not in its practical consequences, which are usually negligible, but in the significance of the… — G. H. Hardy Copy Share Image
I have never done anything 'useful'. No discovery of mine has made, or is likely to make, directly or indirectly, for good… — G. H. Hardy Copy Share Image
I remember once going to see him [Ramanujan] when he was lying ill at Putney. I had ridden in taxi-cab No. 1729,… — G. H. Hardy Copy Share Image
Most people are so frightened of the name of mathematics that they are ready, quite unaffectedly, to exaggerate their own mathematical stupidity. — G. H. Hardy Copy Share Image
Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. — G. H. Hardy Copy Share Image
In [great mathematics] there is a very high degree of unexpectedness, combined with inevitability and economy. — 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
![“I remember once going to see him [Ramanujan] when he was lying ill at Putney. I had ridden in taxi-cab No. 1729, and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavourable omen. "No," he replied, "it is a very interesting number; it is the smallest…” quote by G. H. Hardy](https://sms4smile.com/quotes/img-quotes/af7/g-h-hardy-8763_cab_i-remember-once-going-to-see-him-ramanuj_1278943.jpg)
![“In [great mathematics] there is a very high degree of unexpectedness, combined with inevitability and economy.” quote by G. H. Hardy](https://sms4smile.com/quotes/img-quotes/c55/g-h-hardy-8763_degrees_in-great-mathematics-there-is-a-very-hig_3097667.jpg)
![“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.” quote by G. H. Hardy](https://sms4smile.com/quotes/img-quotes/360/g-h-hardy-8763_being-true_they-formulae-1-10-1-12-of-ramanujan-mus_364964.jpg)
