14 ideas
12456 | I aim to establish certainty for mathematical methods [Hilbert] |
12461 | We believe all mathematical problems are solvable [Hilbert] |
17914 | He made a molten sea, which was ten cubits across, and thirty cubits round the edge [Anon (Kings)] |
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] |
8463 | Maths can be reduced to logic and set theory [Quine] |
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] |
8461 | The category of objects incorporates the old distinction of substances and their modes [Quine] |
9636 | My theory aims at the certitude of mathematical methods [Hilbert] |
8462 | A hallucination can, like an ague, be identified with its host; the ontology is physical, the idiom mental [Quine] |