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 understanding attuned to the principle of mathematical induction, as does Poincaré, or the primal intuition of Brouwer, or, finally, as do Russell and Whitehead, axioms of infinity, reducibility, or completeness, which in fact are actual, contentual assumptions that cannot be compensated for by consistency proofs.
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…
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…
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…
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 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…
Begin with the simplest examples. - David Hilbert
Begin with the simplest examples.
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.
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.
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