15 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] |
| 8714 | Fictionalists say 2+2=4 is true in the way that 'Oliver Twist lived in London' is true [Field,H] |
| 21103 | Moral questions can only be decided by common opinion [Hume] |
| 21099 | People must have agreed to authority, because they are naturally equal, prior to education [Hume] |
| 21100 | The idea that society rests on consent or promises undermines obedience [Hume] |
| 20495 | We no more give 'tacit assent' to the state than a passenger carried on board a ship while asleep [Hume] |
| 21101 | The people would be amazed to learn that government arises from their consent [Hume] |
| 6703 | Poor people lack the knowledge or wealth to move to a different state [Hume] |
| 21102 | We all know that the history of property is founded on injustices [Hume] |