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.

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.

David Hilbert

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No one shall expel us from the paradise that Cantor has created for us.

David Hilbert

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

David Hilbert

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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.

David Hilbert

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He who seeks for methods without having a definite problem in mind seeks in the most part in vain.

David Hilbert

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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.

David Hilbert

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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.

David Hilbert

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