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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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.
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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.
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One can measure the importance of a scientific work by the number of earlier publications rendered superfluous by it.
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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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No one shall expel us from the paradise that Cantor has created for us.
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Physics is becoming too difficult for the physicists.
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The art of doing mathematics consists in finding that special case which contains all the germs of generality.
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Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.