13 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] |
| 7746 | We don't normally think of names as having senses (e.g. we don't give definitions of them) [Searle] |
| 7747 | How can a proper name be correlated with its object if it hasn't got a sense? [Searle] |
| 7748 | 'Aristotle' means more than just 'an object that was christened "Aristotle"' [Searle] |
| 7749 | Reference for proper names presupposes a set of uniquely referring descriptions [Searle] |
| 7750 | Proper names are logically connected with their characteristics, in a loose way [Searle] |
| 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] |
| 23832 | We both desire what is beautiful, and want it to remain as it is [Weil] |