18 ideas
| 9808 | Philosophy aims to reveal the grandeur of mathematics [Badiou] |
| 22820 | Early Romantics sought a plurality of systems, in a quest for freedom [Hösle] |
| 12456 | I aim to establish certainty for mathematical methods [Hilbert] |
| 12461 | We believe all mathematical problems are solvable [Hilbert] |
| 9812 | In mathematics, if a problem can be formulated, it will eventually be solved [Badiou] |
| 9633 | No one shall drive us out of the paradise the Cantor has created for us [Hilbert] |
| 12460 | We extend finite statements with ideal ones, in order to preserve our logic [Hilbert] |
| 12462 | Only the finite can bring certainty to the infinite [Hilbert] |
| 9813 | Mathematics shows that thinking is not confined to the finite [Badiou] |
| 12455 | The idea of an infinite totality is an illusion [Hilbert] |
| 12457 | There is no continuum in reality to realise the infinitely small [Hilbert] |
| 12459 | The subject matter of mathematics is immediate and clear concrete symbols [Hilbert] |
| 18112 | Mathematics divides in two: meaningful finitary statements, and empty idealised statements [Hilbert] |
| 9809 | Mathematics inscribes being as such [Badiou] |
| 9811 | It is of the essence of being to appear [Badiou] |
| 9636 | My theory aims at the certitude of mathematical methods [Hilbert] |
| 9814 | All great poetry is engaged in rivalry with mathematics [Badiou] |
| 22819 | In the 18th century history came to be seen as progressive, rather than cyclical [Hösle] |