G. H. Hardy Quotes - Page 3

Quotes about:

• I am obliged to interpolate some remarks on a very difficult subject: proof and its importance in mathematics. All physicists, and a good many quite respectable mathematicians, are contemptuous about proof. I have heard Professor Eddington, for example, maintain that proof, as pure mathematicians understand it, is really quite uninteresting and unimportant, and that no one who is really certain that he has found something good should waste his time looking for proof.

  G. H. Hardy

  Good Man, Example, Waste

  "Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work". Book by G. H. Hardy, 1940.

  16 Copy quote

• 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 desire to create; and that is apt to happen to a mathematician rather soon. It is a pity, but in that case he does not matter a great deal anyhow, and it would be silly to bother about him.

  G. H. Hardy

  Silly, Creative, Desire

  G. H. Hardy (2012). “A Mathematician's Apology”, p.143, Cambridge University Press

  4 Copy quote

• 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.

  G. H. Hardy

  Education, Math, Unique

  G. H. Hardy (2012). “A Mathematician's Apology”, p.84, Cambridge University Press

  19 Copy quote

• The mathematician is in much more direct contact with reality. ... [Whereas] the physicist's reality, whatever it may be, has few or none of the attributes which common sense ascribes instinctively to reality. A chair may be a collection of whirling electrons.

  G. H. Hardy

  Science, Reality, Common Sense

  16 Copy quote

• No one has yet discovered any warlike purpose to be served by the theory of numbers or relativity, and it seems unlikely that anyone will do so for many years.

  G. H. Hardy

  Years, Numbers, Purpose

  G. H. Hardy, C. P. Snow (2012). “A Mathematician's Apology”, p.140, Cambridge University Press

  6 Copy quote

• 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.

  G. H. Hardy

  Love, Sacrifice, Math

  G. H. Hardy, C. P. Snow (2012). “A Mathematician's Apology”, p.94, Cambridge University Press

  12 Copy quote

• In [great mathematics] there is a very high degree of unexpectedness, combined with inevitability and economy.

  G. H. Hardy

  Degrees, Economy, Mathematics

  G. H. Hardy (2012). “A Mathematician's Apology”, p.113, Cambridge University Press

  78 Copy quote

• A science is said to be useful if its development tends to accentuate the existing inequalities in the distribution of wealth, or more directly promotes the destruction of human life.

  G. H. Hardy

  Life, Science, Distribution Of Wealth

  A Mathematician's Apology ch. 21 (1940)

  7 Copy quote

• 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 anything else he can do, and that he would be silly if he surrendered any decent opportunity of exercising his one talent in order to do undistinguished work in other fields. Such a sacrifice could be justified only by economic necessity of age.

  G. H. Hardy

  Real, Silly, Sacrifice

  "A Mathematician's Apology".

  7 Copy quote

• I do not remember having felt, as a boy, any passion for mathematics, and such notions as I may have had of the career of a mathematician were far from noble. I thought of mathematics in terms of examinations and scholarships: I wanted to beat other boys, and this seemed to be the way in which I could do so most decisively.

  G. H. Hardy

  Passion, Science, Boys

  G. H. Hardy (2012). “A Mathematician's Apology”, p.15, Cambridge University Press

  8 Copy quote

• 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.

  G. H. Hardy

  Sensual, Technique, Taught

  "A Mathematician's Apology". Book by G. H. Hardy, 1941.

  14 Copy quote

• 317 is a prime, not because we think so, or because our minds are shaped in one way rather than another, but because it is so, because mathematical reality is built that way.

  G. H. Hardy

  Reality, Thinking, Mind

  G. H. Hardy (1992). “A Mathematician's Apology”, p.130, Cambridge University Press

  7 Copy quote

• The mathematician's patterns, like the painter's or the poet's, must be beautiful.

  G. H. Hardy

  Beautiful, Math, Patterns

  A Mathematician's Apology ch. 10 (1940)

  20 Copy quote

• [I was advised] to read Jordan's 'Cours d'analyse'; and I shall never forget the astonishment with which I read that remarkable work, the first inspiration for so many mathematicians of my generation, and learnt for the first time as I read it what mathematics really meant.

  G. H. Hardy

  Inspiration, Science, Firsts

  5 Copy quote

• The theory of numbers, more than any other branch of mathematics, began by being an experimental science. Its most famous theorems have all been conjectured, sometimes a hundred years or more before they were proved; and they have been suggested by the evidence of a mass of computations.

  G. H. Hardy

  Years, Numbers, Branches

  9 Copy quote

• A mathematician ... has no material to work with but ideas, and so his patterns are likely to last longer, since ideas wear less with time than words.

  G. H. Hardy

  Science, Ideas, Patterns

  13 Copy quote

• 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 is something essential lacking. Chess problems are unimportant. The best mathematics is serious as well as beautiful-"important" if you like, but the word is very ambiguous, and "serious" expresses what I mean much better.

  G. H. Hardy

  Beautiful, Moving, Mean

  4 Copy quote

• As history proves abundantly, mathematical achievement, whatever its intrinsic worth, is the most enduring of all.

  G. H. Hardy

  History, Achievement, Mathematics

  G. H. Hardy, C. P. Snow (2012). “A Mathematician's Apology”, p.80, Cambridge University Press

  4 Copy quote

• Chess problems are the hymn-tunes of mathematics.

  G. H. Hardy

  Science, Hymns, Tunes

  G. H. Hardy (2012). “A Mathematician's Apology”, p.87, Cambridge University Press

  4 Copy quote

• A chess problem is simply an exercise in pure mathematics.

  G. H. Hardy

  Exercise, Chess, Problem

  "A Mathematician's Apology".

  4 Copy quote

• No one should ever be bored. … One can be horrified, or disgusted, but one can’t be bored.

  G. H. Hardy

  Bored, Boring, Should

  4 Copy quote

• I wrote a great deal during the next ten [early] years,but very little of any importance; there are not more than four or five papers which I can still remember with some satisfaction.

  G. H. Hardy

  Science, Years, Paper

  16 Copy quote

• I do not know an instance of a major mathematical advance initiated by a man past fifty

  G. H. Hardy

  Past, Men, Fifty

  G. H. Hardy (2012). “A Mathematician's Apology”, p.72, Cambridge University Press

  4 Copy quote

• As Littlewood said to me once [of the ancient Greeks], they are not clever school boys or "scholarship candidates," but "Fellows of another college."

  G. H. Hardy

  Clever, School, Boys

  4 Copy quote

• The public does not need to be convinced that there is something in mathematics.

  G. H. Hardy

  Doe, Needs, Mathematics

  G. H. Hardy, C. P. Snow (2012). “A Mathematician's Apology”, p.64, Cambridge University Press

  4 Copy quote

Page 3 of 4

First

← Prev

1

2

3

4

Next →

• facebook
• twitter
• googleplus
• email
• linkedin