12 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] |
18758 | Validity is provable, but invalidity isn't, because the model is infinite [Church, by McGee] |
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] |
23896 | We see our character as a restricting limit, but also as an unshakable support [Weil] |
23894 | The concept of character is at the centre of morality [Weil] |
23893 | We don't see character in a single moment, but only over a period of time [Weil] |
23895 | We modify our character by placing ourselves in situations, or by attending to what seems trivial [Weil] |