“It (proof by contradiction) is a far finer gambit than any chess gambit: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game.” — G.H. Hardy Copy Share Image
“The Greeks were the first mathematicians who are still ‘real’ to us to-day. Oriental mathematics may be an interesting curiosity, but Greek mathematics is… — G.H. Hardy Copy Share Image
“If the theory of numbers could be employed for any practical and obviously honourable purpose, if it could be turned directly to the furtherance… — G.H. Hardy Copy Share Image
“Even a pure mathematician may find his appreciation of this geometry [applied geometry] quickened, since there is no mathematician so pure that he feels… — G.H. Hardy Copy Share Image
“Immortality is often ridiculous or cruel: few of us would have chosen to be Og or Ananias or Gallio. Even in mathematics, history sometimes… — G.H. Hardy Copy Share Image
“One rather curious conclusion emerges, that pure mathematics is on the whole distinctly more useful than applied. ... For what is useful above all… — G.H. Hardy Copy Share Image
“It is the dull and elementary parts of applied mathematics, as it is the dull and elementary parts of pure mathematics, that work for… — G.H. Hardy Copy Share Image
“The seriousness of a theorem, of course, does not lie in its consequences, which are merely the evidence for its seriousness.” — G.H. Hardy Copy Share Image
“Judged by all practical standards, the value of my mathematical life is nil; and outside mathematics it is trivial anyhow. I have just one… — G.H. Hardy Copy Share Image
“I had better say something here about this question of age, since it is particularly important for mathematicians. No mathematician should ever allow himself… — G.H. Hardy Copy Share Image
“I still say to myself when I am depressed, and find myself forced to listen to pompous and tiresome people, 'Well, I have done… — G.H. Hardy Copy Share Image
“The beauty of a mathematical theorem depends a great deal on its seriousness, as even in poetry the beauty of a line may depend… — G.H. Hardy Copy Share Image
“The mathematician is in much more direct contact with reality. This may seem a paradox, since it is the physicist who deals with the… — G.H. Hardy Copy Share Image
![“Even a pure mathematician may find his appreciation of this geometry [applied geometry] quickened, since there is no mathematician so pure that he feels no interest at all in the physical world; but, in so far as he succumbs to this temptation, he will be abandoning his purely mathematical position.” quote by G.H. Hardy](https://sms4smile.com/quotes/img-quotes/84c/g-h-hardy-2-30074_applications_even-a-pure-mathematician-may-find-his-a_1015722.jpg)
