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1 " Whoever said God is a mathematician or an architect was not paying attention. The universe behaves more like a song than an equation. God is the great composer. A song contain mathematical relationships but an equation does not contain a song. "
2 " As always when he worked with this much concentration he began to feel a sense of introverting pressure. There was no way out once he was in, no genuine rest, no one to talk to who was capable of understanding the complexity (simplicity) of the problem or the approaches to a tentative solution. There came a time in every prolonged effort when he had a moment of near panic, or " terror in a lonely place," the original semantic content of the word. The lonely place was his own mind. As a mathematician he was free from subjection to reality, free to impose his ideas and designs on his own test environment. The only valid standard for his work, its critical point (zero or infinity), was the beauty it possessed, the deft strength of his mathematical reasoning. THe work's ultimate value was simply what it revealed about the nature of his intellect. What was at stake, in effect, was his own principle of intelligence or individual consciousness; his identity, in short. This was the infalling trap, the source of art's private involvement with obsession and despair, neither more nor less than the artist's self-containment, a mental state that led to storms of overwork and extended stretches of depression, that brought on indifference to life and at times the need to regurgitate it, to seek the level of expelled matter. Of course, the sense at the end of a serious effort, if the end is reached successfully, is one of lyrical exhilaration. There is air to breathe and a place to stand. The work gradually reveals its attachment to the charged particles of other minds, men now historical, the rediscovered dead; to the main structure of mathematical thought; perhaps even to reality itself, the so-called sum of things. It is possible to stand in time's pinewood dust and admire one's own veronicas and pavanes. "
3 " J. E. Littlewood, a mathematician at Cambridge University, wrote about the law of truly large numbers in his 1986 book, " Littlewood's Miscellany." He said the average person is alert for about eight hours every day, and something happens to the average person about once a second. At this rate, you will experience 1 million events every thirty-five days. This means when you say the chances of something happening are one in a million, it also means about once a month. The monthly miracle is called Littlewood's Law. "
4 " 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 mathematician has the best chance of whatever it may mean. "
― G.H. Hardy , A Mathematician's Apology
5 " I am a mathematician and I can confidently say that the best figure ever produced is your phone number. "
― Amit Kalantri , I Love You Too
6 " No mathematician should ever allow him to forget that mathematics, more than any other art or science, is a young man's game. … Galois died at twenty-one, Abel at twenty-seven, Ramanujan at thirty-three, Riemann at forty. There have been men who have done great work later; … [but] I do not know of a single instance of a major mathematical advance initiated by a man past fifty. … A mathematician may still be competent enough at sixty, but it is useless to expect him to have original ideas. "
7 " It is true that a mathematician who is not somewhat of a poet, will never be a perfect mathematician. "
8 " 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. "
9 " Think of a " discovery" as an act that moves the arrival of information from a later point in time to an earlier time. The discovery's value does not equal the value of the information discovered but rather the value of having the information available earlier than it otherwise would have been. A scientist or a mathematician may show great skill by being the first to find a solution that has eluded many others; yet if the problem would soon have been solved anyway, then the work probably has not much benefited the world [unless having a solution even slightly sooner is immensely valuable or enables further important and urgent work]. "
10 " 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
11 " I stayed with him for three days, and he then asked: ‘Do you know any craft by which to make your living?’ I told him: ‘I am a lawyer, a scientist, a scribe, a mathematician and a calligrapher.’ ‘There is no market for that kind of thing here,’ he replied. ‘No one in this city has any knowledge of science or of writing and their only concern is making money.’ ‘By God,’ I said, ‘I know nothing apart from what I have told you. "
12 " I have hardly ever known a mathematician who was capable of reasoning. "
― Plato
