12 ideas
| 18261 | A simplification which is complete constitutes a definition [Kant] |
| 6710 | You can only define a statement that something is 'true' by referring to its functional possibilities [James] |
| 22305 | If the hypothesis of God is widely successful, it is true [James] |
| 17610 | The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy] |
| 22275 | Logic gives us the necessary rules which show us how we ought to think [Kant] |
| 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] |
| 18260 | If we knew what we know, we would be astonished [Kant] |