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Mathematics Quotes by G. H. Hardy
- [Regarding mathematics,] there are now few studies more generally recognized, for good reasons or bad, as profitable and praiseworthy. This may be true; indeed it…
- A chess problem is genuine mathematics, but it is in some way "trivial" mathematics. However, ingenious and intricate, however original and surprising the moves, there…
- Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. "Immortality" may be a silly word, but probably a…
- As history proves abundantly, mathematical achievement, whatever its intrinsic worth, is the most enduring of all.
- Chess problems are the hymn-tunes of mathematics.
- Greek mathematics is the real thing. The Greeks first spoke a language which modern mathematicians can understand... So Greek mathematics is 'permanent', more permanent even…
- I am interested in mathematics only as a creative art.
- I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which we prove, and…
- I have never done anything 'useful'. No discovery of mine has made, or is likely to make, directly or indirectly, for good or ill, the…
- In [great mathematics] there is a very high degree of unexpectedness, combined with inevitability and economy.
- 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:…
- The mathematician's patterns, like the painter's or the poet's must be beautiful; the ideas, like the colours or the words must fit together in a…
- The study of mathematics is, if an unprofitable, a perfectly harmless and innocent occupation.
- [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…
- Real mathematics must be justified as art if it can be justified at all.
- 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…
- Most people are so frightened of the name of mathematics that they are ready, quite unaffectedly, to exaggerate their own mathematical stupidity.
- It is a melancholy experience for a professional mathematician to find himself writing about mathematics. The function of a mathematician is to do something, to…
- No mathematician should ever allow himself to forget that mathematics, more than any other art or science, is a young man's game
- Mathematics is not a contemplative but a creative subject; no one can draw much consolation from it when he has lost the power or the…
- 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…
- If I could prove by logic that you would die in five minutes, I should be sorry you were going to die, but my sorrow…
- A chess problem is an exercise in pure mathematics.
- I count Maxwell and Einstein, Eddington and Dirac, among "real" mathematicians. The great modern achievements of applied mathematics have been in relativity and quantum mechanics,…
- If a man is in any sense a real mathematician, then it is a hundred to one that his mathematics will be far better than…
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More Mathematics Quotes
- When we were making the law, when we were writing the literature and the mathematics the grandfarthers of Blair and little Bush… — Mohammed Saeed al-Sahaf
- Mathematics was hard, dull work. Geography pleased me more. For dancing I was quite enthusiastic. — John James Audubon
- In mathematics we have long since drawn the rein, and given over a hopeless race. — Charles Babbage
- If a man's wit be wandering, let him study the mathematics. — Francis Bacon
- All science requires mathematics. The knowledge of mathematical things is almost innate in us. This is the easiest of sciences, a fact… — Roger Bacon
- For the things of this world cannot be made known without a knowledge of mathematics. — Roger Bacon
- Education is indoctrination if you're white - subjugation if you're black. — James A. Baldwin
- Mathematics is the most beautiful and most powerful creation of the human spirit. — Stefan Banach
- I must study politics and war that my sons may have liberty to study mathematics and philosophy. — John Adams
- Brain: an apparatus with which we think we think. — Ambrose Bierce
- When you have mastered numbers, you will in fact no longer be reading numbers, any more than you read words when reading… — W. E. B. Du Bois
- No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something… — George Boole