18 ideas
| 7661 | Truth is the opinion fated to be ultimately agreed by all investigators [Peirce] |
| 12456 | I aim to establish certainty for mathematical methods [Hilbert] |
| 12461 | We believe all mathematical problems are solvable [Hilbert] |
| 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] |
| 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] |
| 16730 | If matter is entirely atoms, anything else we notice in it can only be modes [Gassendi] |
| 19089 | Our whole conception of an object is its possible practical consequences [Peirce] |
| 7660 | We are aware of beliefs, they appease our doubts, and they are rules of action, or habits [Peirce] |
| 9636 | My theory aims at the certitude of mathematical methods [Hilbert] |
| 16619 | We observe qualities, and use 'induction' to refer to the substances lying under them [Gassendi] |
| 14906 | Non-positivist verificationism says only take a hypothesis seriously if it is scientifically based and testable [Ladyman/Ross on Peirce] |
| 16593 | Atoms are not points, but hard indivisible things, which no force in nature can divide [Gassendi] |
| 16729 | How do mere atoms produce qualities like colour, flavour and odour? [Gassendi] |