11 ideas
17610 | The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy] |
17620 | Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy] |
17605 | Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy] |
17625 | If two mathematical themes coincide, that suggest a single deep truth [Maddy] |
17615 | Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy] |
17618 | Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy] |
17614 | The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy] |
8724 | The meaning of 'know' does not change from courtroom to living room [Unger] |
8722 | No one knows anything, and no one is ever justified or reasonable [Unger] |
8723 | An evil scientist may give you a momentary life, with totally false memories [Unger] |
7517 | I could take a healthy infant and train it up to be any type of specialist I choose [Watson,JB] |