G. H. Hardy
G. H. Hardy
Godfrey Harold "G. H." Hardy FRS was an English mathematician, known for his achievements in number theory and mathematical analysis...
NationalityBritish
ProfessionMathematician
Date of Birth7 February 1877
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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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The "seriousness" of a mathematical theorem lies, not in its practical consequences, which are usually negligible, but in the significance of the mathematical ideas which it connects.
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All analysts spend half their time hunting through the literature for inequalities which they want to use and cannot prove.
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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.
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In [great mathematics] there is a very high degree of unexpectedness, combined with inevitability and economy.
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Most people have some appreciation of mathematics, just as most people can enjoy a pleasant tune; and there are probably more people really interested in mathematics than in music. Appearances suggest the contrary, but there are easy explanations. Music can be used to stimulate mass emotion, while mathematics cannot; and musical incapacity is recognized (no doubt rightly) as mildly discreditable, whereas most people are so frightened of the name of mathematics that they are ready, quite unaffectedly, to exaggerate their own mathematical stupidity
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As history proves abundantly, mathematical achievement, whatever its intrinsic worth, is the most enduring of all.
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The public does not need to be convinced that there is something in mathematics.
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Mathematics is not a contemplative but a creative subject.
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Most people are so frightened of the name of mathematics that they are ready, quite unaffectedly, to exaggerate their own mathematical stupidity.
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Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons. It is a far finer gambit than any chess play: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game.
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A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas.
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[P]ure 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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Asked if he believes in one G-d, a mathematician answered: "Yes, up to isomorphism".