15 ideas
15130 | If a property is possible, there is something which can have it [Williamson] |
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] |
18439 | Because things can share attributes, we cannot individuate attributes clearly [Quine] |
18442 | You only know an attribute if you know what things have it [Quine] |
18441 | No entity without identity (which requires a principle of individuation) [Quine] |
18440 | Identity of physical objects is just being coextensive [Quine] |
9636 | My theory aims at the certitude of mathematical methods [Hilbert] |