Every mathematical discipline goes through three periods of development the naive, the formal, and the critical.
More Quotes from David Hilbert:
I have tried to avoid long numerical computations, thereby following Riemann's postulate that proofs should be given through ideas and not voluminous computations.David Hilbert
He who seeks for methods without having a definite problem in mind seeks in the most part in vain.
David Hilbert
Before beginning I should put in three years of intensive study, and I haven't that much time to squander on a probable failure. On why he didn't try to solve Fermat's last theorem.
David Hilbert
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
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
Physics is becoming too difficult for the physicists.
David Hilbert
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