20 ideas
13430 | Infinity: there is an infinity of distinguishable individuals [Ramsey] |
13428 | Reducibility: to every non-elementary function there is an equivalent elementary function [Ramsey] |
13427 | Either 'a = b' vacuously names the same thing, or absurdly names different things [Ramsey] |
13334 | Contradictions are either purely logical or mathematical, or they involved thought and language [Ramsey] |
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] |
13426 | Formalists neglect content, but the logicists have focused on generalizations, and neglected form [Ramsey] |
12459 | The subject matter of mathematics is immediate and clear concrete symbols [Hilbert] |
13425 | Formalism is hopeless, because it focuses on propositions and ignores concepts [Ramsey] |
18112 | Mathematics divides in two: meaningful finitary statements, and empty idealised statements [Hilbert] |
22328 | I just confront the evidence, and let it act on me [Ramsey] |
9636 | My theory aims at the certitude of mathematical methods [Hilbert] |
22325 | A belief is knowledge if it is true, certain and obtained by a reliable process [Ramsey] |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |