One can measure the importance of a scientific work by the number of earlier publications rendered superfluous by it — David Hilbert Importance Copy Share Image
The tool which serves as intermediary between theory and practice, between thought and observation, is mathematics; it is mathematics which builds the… — David Hilbert Bridges Copy Share Image
Sometimes it happens that a man's circle of horizon becomes smaller and smaller, and as the radius approaches zero it concentrates on… — David Hilbert Approach Copy Share Image
Before beginning [to try to prove Fermat's Last Theorem] I should have to put in three years of intensive study, and I… — David Hilbert Education 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
We ought not to believe those who today, adopting a philosophical air and with a tone of superiority, prophesy the decline of… — David Hilbert Adopting 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
In mathematics ... we find two tendencies present. On the one hand, the tendency towards abstraction seeks to crystallise the logical relations… — David Hilbert Abstraction Copy Share Image
An old French mathematician said: "A mathematical theory is not to be considered complete until you have made it so clear that… — David Hilbert Clear Copy Share Image
Mathematics is a presuppositionless science. To found it I do not need God, as does Kronecker, or the assumption of a special… — David Hilbert Assumption Copy Share Image
For us there is no ignorabimus, and in my opinion none whatever in natural science. In opposition to the foolish ignorabimus our… — David Hilbert Knowledge Copy Share Image
Indignant reply to the blatent sex discrimination expressed in a colleague's opposition when Hilbert proposed appointing Emmy Noether as the first woman… — David Hilbert Colleagues Copy Share Image
If one were to bring ten of the wisest men in the world together and ask them what was the most stupid… — David Hilbert Able Copy Share Image