I have tried to avoid long numerical computations, thereby following Riemann's postulate that proofs should be given through ideas and not voluminous computations.
More Quotes from David Hilbert:
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
I do not want to presuppose anything as known. I see in my explanation in section 1 the definition of the concepts point, straight line and plane, if one adds to these all the axioms of groups i-v as characteristics. If one is looking for other definitions of point, perhaps by means of paraphrase in terms of extensionless, etc., then, of course, I would most decidedly have to oppose such an enterprise. One is then looking for something that can never be found, for there is nothing there, and everything gets lost, becomes confused and vague, and degenerates into a game of hide and seek.
David Hilbert
No one shall expel us from the paradise that Cantor has created for us.
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
The infinite! No other question has ever moved so profoundly the spirit of man.
David Hilbert
The art of doing mathematics consists in finding that special case which contains all the germs of generality.
David Hilbert
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