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Quotes by Mathematician
"Information is the resolution of uncertainty."
111
"Mathematics is a game played according to certain simple rules with meaningless marks on paper."
81
"There is a good principle which created order, light, and man, and an evil principle which created chaos, darkness, and woman."
71
"Life is an offensive, directed against the repetitious mechanism of the Universe."
70
"Henceforth space by itself, and time by itself, are doomed to fade away into mere shadows, and only a kind of union of the two will preserve an independent reality."
61
"Errors using inadequate data are much less than those using no data at all."
55
"It could be that the methods needed to take the next step may simply be beyond present day mathematics. Perhaps the methods I needed to complete the proof would not be invented for a hundred years."
51
"No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it also gives the impression of being beautiful."
48
"Progress imposes not only new possibilities for the future but new restrictions."
48
"It is impossible to be a mathematician without being a poet in soul."
47
"Flight by machines heavier than air is unpractical and insignificant, if not utterly impossible."
44
"I was like a boy playing on the sea-shore, and diverting myself now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me."
40
"It may be true, that men, who are mere mathematicians, have certain specific shortcomings, but that is not the fault of mathematics, for it is equally true of every other exclusive occupation."
36
"I visualize a time when we will be to robots what dogs are to humans, and I'm rooting for the machines."
36
"I hope that posterity will judge me kindly, not only as to the things which I have explained, but also to those which I have intentionally omitted so as to leave to others the pleasure of discovery."
35
"For since the fabric of the universe is most perfect and the work of a most wise Creator, nothing at all takes place in the universe in which some rule of maximum or minimum does not appear."
34
"Machines take me by surprise with great frequency."
34
"There is no scientific discoverer, no poet, no painter, no musician, who will not tell you that he found ready made his discovery or poem or picture - that it came to him from outside, and that he did not consciously create it from within."
33
"Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country."
31
"Well, some mathematics problems look simple, and you try them for a year or so, and then you try them for a hundred years, and it turns out that they're extremely hard to solve."
31
"The oldest, shortest words - "yes" and "no" - are those which require the most thought."
31
"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."
31
"Common sense is the most fairly distributed thing in the world, for each one thinks he is so well-endowed with it that even those who are hardest to satisfy in all other matters are not in the habit of desiring more of it than they already have."
30
"To consult the statistician after an experiment is finished is often merely to ask him to conduct a post mortem examination. He can perhaps say what the experiment died of."
30
"Periods of tranquility are seldom prolific of creative achievement. Mankind has to be stirred up."
29
"To doubt everything, or, to believe everything, are two equally convenient solutions; both dispense with the necessity of reflection."
29
"I can calculate the motion of heavenly bodies, but not the madness of people."
28
"Science is built up of facts, as a house is with stones. But a collection of facts is no more a science than a heap of stones is a house."
28
"Some people are always critical of vague statements. I tend rather to be critical of precise statements; they are the only ones which can correctly be labeled 'wrong'."
28
"No one shall expel us from the paradise that Cantor has created for us."
27
"I am indeed amazed when I consider how weak my mind is and how prone to error."
27
"There is geometry in the humming of the strings, there is music in the spacing of the spheres."
26
"The guiding motto in the life of every natural philosopher should be, seek simplicity and distrust it."
25
"The art of doing mathematics consists in finding that special case which contains all the germs of generality."
25
"Galileo was no idiot. Only an idiot could believe that science requires martyrdom - that may be necessary in religion, but in time a scientific result will establish itself."
25
"No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite."
24
"I seem to be thinking rationally again in the style that is characteristic of scientists. However, this is not entirely a matter of joy as if someone returned from physical disability to good physical health."
24
"A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between proofs and the best mathematician can notice analogies between theories."
23
"Divide each difficulty into as many parts as is feasible and necessary to resolve it."
23
"Perfect numbers like perfect men are very rare."
23
"Mathematics is the art of giving the same name to different things."
22
"It would appear that we have reached the limits of what it is possible to achieve with computer technology, although one should be careful with such statements, as they tend to sound pretty silly in 5 years."
22
"First rate mathematicians choose first rate people, but second rate mathematicians choose third rate people."
22
"Seek simplicity but distrust it."
22
"If I were to awaken after having slept for a thousand years, my first question would be: Has the Riemann hypothesis been proven?"
22
"Physics is becoming too difficult for the physicists."
21
"Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity."
21
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