All David Hilbert Quotes
- Physics is much too hard for physicists. Hard
- I have tried to avoid long numerical computations, thereby following Riemann's postulate that proofs should be given through ideas and not voluminous computations. Avoid
- The arithmetical symbols are written diagrams and the geometrical figures are graphic formulas. Arithmetical
- [On Cantor's work:] The finest product of mathematical genius and one of the supreme achievements of purely intellectual human activity. Achievement
- One hears a lot of talk about the hostility between scientists and engineers. I don't believe in any such thing. In fact I am quite… Any
- Geometry is the most complete science. Complete
- Every mathematical discipline goes through three periods of development: the naive, the formal, and the critical. Critical
- Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country. Boundaries
- 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… Clear
- If I were to awaken after having slept for a thousand years, my first question would be: Has the Riemann hypothesis been proven? Awaken
- He who seeks for methods without having a definite problem in mind seeks in the most part in vain. Definite
- 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… Advance
- No one shall expel us from the paradise that Cantor has created for us. Cantor