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"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."
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"In the first place, Descartes stands for the most explicit and uncompromising dualism between mind and matter."

"If you wish to make an apple pie from scratch, you must first invent the universe."

"A little simplification would be the first step toward rational living, I think."

""Think simple" as my old master used to say - meaning reduce the whole of its parts into the simplest terms, getting back to first principles."

"I think at the point when they were first starting to talk about a movie, it was a little bit different back then."

"The first attempt at a response: there must have been a fall, a decline, and the road to salvation can only be the return of the sensible finite into the intelligible infinite."
Explore more quotes by David Hilbert

"If one were to bring ten of the wisest men in the world together and ask them what was the most stupid thing in existence, they would not be able to discover anything so stupid as astrology."

"Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country."

"One can measure the importance of a scientific work by the number of earlier publications rendered superfluous by it."

"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."

"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."

"Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts."

"If I were to awaken after having slept for a thousand years, my first question would be: Has the Riemann hypothesis been proven?"
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