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"Mathematics is a game played according to certain simple rules with meaningless marks on paper."
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"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."
"The study of mathematics, like the Nile, begins in minuteness but ends in magnificence."
"My mathematics is simple: one plus one = one."
"I finally reached the conclusion that mathematics was the study I was best fitted to follow, though I did not clearly see in what way I should turn the subject to account."
"I have in later years taken to Euclid, Whitehead, Bertrand Russell, in an elemental way."
"Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions."
"I tell them that if they will occupy themselves with the study of mathematics they will find in it the best remedy against the lusts of the flesh."
"He calculated the number of bricks in the wall, first in twos and then in tens and finally in sixteens. The numbers formed up and marched past his brain in terrified obedience. Division and multiplication were discovered. Algebra was invented and provided an interesting diversion for a minute or two. And then he felt the fog of numbers drift away, and looked up and saw the sparkling, distant mountains of calculus."
"Few rounds.... I am damn good mathematician!2 999 999 999 999 999 999 + 11 999 999 999 999 999 999 = 14 999 999 999 999 999 998."
Explore more quotes by David Hilbert
"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."
"The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science."
"A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street."
"Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts."
"The art of doing mathematics consists in finding that special case which contains all the germs of generality."
"How thoroughly it is ingrained in mathematical science that every real advance goes hand in hand with the invention of sharper tools and simpler methods which, at the same time, assist in understanding earlier theories and in casting aside some more complicated developments."
"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."
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