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Applications Quote by G.H. Hardy

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““One rather curious conclusion emerges, that 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.””

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Applications Applied science Applied-knowledge Mathematics Pure-mathematics Technique Usefulness

More by G.H. Hardy

“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…

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“If the theory of numbers could be employed for any practical and obviously honourable purpose, if it could be turned directly to the furtherance…

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“Even a pure mathematician may find his appreciation of this geometry [applied geometry] quickened, since there is no mathematician so pure that he feels…

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“Immortality is often ridiculous or cruel: few of us would have chosen to be Og or Ananias or Gallio. Even in mathematics, history sometimes…

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“It is the dull and elementary parts of applied mathematics, as it is the dull and elementary parts of pure mathematics, that work for…

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“The seriousness of a theorem, of course, does not lie in its consequences, which are merely the evidence for its seriousness.”

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“Judged by all practical standards, the value of my mathematical life is nil; and outside mathematics it is trivial anyhow. I have just one…

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“I had better say something here about this question of age, since it is particularly important for mathematicians. No mathematician should ever allow himself…

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“I still say to myself when I am depressed, and find myself forced to listen to pompous and tiresome people, 'Well, I have done…

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“The beauty of a mathematical theorem depends a great deal on its seriousness, as even in poetry the beauty of a line may depend…

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“The mathematician is in much more direct contact with reality. This may seem a paradox, since it is the physicist who deals with the…

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“It (proof by contradiction) is a far finer gambit than any chess gambit: a chess player may offer the sacrifice of a pawn or…

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Explore all 14 G.H. Hardy quotes

More Applications quotes

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Browse all 70 Applications quotes