Every mathematical discipline goes through three periods of development: the naive, the formal, and the critical.
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
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
The tool which serves as intermediary between theory and practice, between thought and observation, is mathematics; it is mathematics which builds th… - David Hilbert
The tool which serves as intermediary between theory and practice, between thought and observation, is mathematics; it is mathematics which builds th…
Mathematics is a presuppositionless science. To found it I do not need God, as does Kronecker, or the assumption of a special faculty of our understa… - David Hilbert
Mathematics is a presuppositionless science. To found it I do not need God, as does Kronecker, or the assumption of a special faculty of our understa…
Mathematics is a game played according to certain simple rules with meaningless marks on paper. - David Hilbert
Mathematics is a game played according to certain simple rules with meaningless marks on paper.
Every kind of science, if it has only reached a certain degree of maturity, automatically becomes a part of mathematics. - David Hilbert
Every kind of science, if it has only reached a certain degree of maturity, automatically becomes a part of mathematics.
Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country. - David Hilbert
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 resul… - David Hilbert
Galileo was no idiot. Only an idiot could believe that science requires martyrdom - that may be necessary in religion, but in time a scientific resul…
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 stan… - 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 stan…
Begin with the simplest examples. - David Hilbert
Begin with the simplest examples.
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