19 ordspråk av David Hilbert

David Hilbert

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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.

We must know. We will know.

I have tried to avoid long numerical computations, thereby following Riemann's postulate that proofs should be given through ideas and not voluminous computations.

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 one shall expel us from the paradise that Cantor has created for us.

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

Before beginning I should put in three years of intensive study, and I haven't that much time to squander on a probable failure.

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.

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

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

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.

Every mathematical discipline goes through three periods of development: the naive, the formal, and the critical.

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.

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.

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