[On Cantor's work:] The finest product of mathematical genius and one of the supreme achievements of purely intellectual human activity. — David Hilbert Achievement Copy Share Image
Who of us would not be glad to lift the veil behind which the future lies hidden; to cast a glance at… — David Hilbert Behinds Copy Share Image
How thoroughly it is ingrained in mathematical science that every real advance goes hand in hand with the invention of sharper tools… — David Hilbert Casting Copy Share Image
Galileo was no idiot. Only an idiot could believe that science requires martyrdom - that may be necessary in religion, but in… — David Hilbert Believe Copy Share Image
If I were to awaken after having slept for a thousand years, my first question would be: Has the Riemann hypothesis been… — David Hilbert Hypothesis Copy Share Image
Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. These fundamental principles are called the… — David Hilbert Arithmetic Copy Share Image
A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to… — David Hilbert Clear Copy Share Image
Besides it is an error to believe that rigour is the enemy of simplicity. On the contrary we find it confirmed by… — David Hilbert Believe Copy Share Image
Is mathematics doomed to suffer the same fate as other sciences that have split into separate branches?... Mathematics is, in my opinion,… — David Hilbert Branches Copy Share Image
One must be able to say at all times--instead of points, straight lines, and planes--tables, chairs, and beer mugs — David Hilbert Able Copy Share Image
I have tried to avoid long numerical computations, thereby following Riemann's postulate that proofs should be given through ideas and not voluminous… — David Hilbert Computation Copy Share Image
I do not want to presuppose anything as known. I see in my explanation in section 1 the definition of the concepts… — David Hilbert Add Copy Share Image
No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet… — David Hilbert Clarification Copy Share Image
The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between… — David Hilbert Branches Copy Share Image
I didn't work especially hard at mathematics at school, because I knew that's what I'd be doing later. — David Hilbert Education Copy Share Image
“Wir mussen wissen. Wir werden wissen. ( We must know. We will know .) [ Inscribed on his tomb in Gottingen .]” — David Hilbert Knowledge Copy Share Image
The arithmetical symbols are written diagrams and the geometrical figures are graphic formulas. — David Hilbert Diagrams Copy Share Image
He who seeks for methods without having a definite problem in mind seeks in the most part in vain. — David Hilbert Definite Copy Share Image
Mathematics is a game played according to certain simple rules with meaningless marks on paper. — David Hilbert Certain Copy Share Image
As long as a branch of science offers an abundance of problems, so long it is alive; a lack of problems foreshadows… — David Hilbert Abundance Copy Share Image
“Good, he did not have enough imagination to become a mathematician. [Upon hearing that one of his students had dropped out to… — David Hilbert Humor Copy Share Image
One hears a lot of talk about the hostility between scientists and engineers. I don't believe in any such thing. In fact… — David Hilbert Believe Copy Share Image
Wir mussen wissen. Wir werden wissen. We must know. We will know. Inscribed on his tomb in Gilttingen. — David Hilbert Funny Copy Share Image
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