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] |
| 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] |
| 23903 | When we admire a work, we see ourselves as its creator [Weil] |
| 23901 | Relationships depend on equality, so unequal treatment kills them [Weil] |
| 23904 | The cruelty of the Old Testament put me off Christianity [Weil] |
| 17593 | Always be ready to give reasons for your beliefs [Peter] |
| 23902 | I attach little importance to immortality, which is an undecidable fact, and irrelevant to us [Weil] |