18 ideas
| 20109 | Hegel inserted society and history between the God-world, man-nature, man-being binary pairs [Hegel, by Safranski] |
| 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] |
| 17809 | Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel] |
| 17615 | Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy] |
| 17810 | The study of mathematical foundations needs new non-mathematical concepts [Kreisel] |
| 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] |
| 23274 | World history has no room for happiness [Hegel] |
| 23275 | The state of nature is one of untamed brutality [Hegel] |
| 23276 | The soul of the people is an organisation of its members which produces an essential unity [Hegel] |
| 23272 | The human race matters, and individuals have little importance [Hegel] |
| 23273 | In a good state the goal of the citizens and of the whole state are united [Hegel] |
| 23271 | The goal of the world is Spirit's consciousness and enactment of freedom [Hegel] |
| 23270 | We should all agree that there is reason in history [Hegel] |
| 17811 | The natural conception of points ducks the problem of naming or constructing each point [Kreisel] |