12 ideas
| 6855 | Interesting philosophers hardly every give you explicitly valid arguments [Martin,M] |
| 6856 | Valid arguments can be rejected by challenging the premises or presuppositions [Martin,M] |
| 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] |
| 6857 | An error theory of perception says our experience is not as it seems to be [Martin,M] |
| 7082 | Nature requires causal explanations, but society requires clarification by reasons and motives [Weber, by Critchley] |
| 22155 | We are disenchanted because we rely on science, which ignores values [Weber, by Boulter] |