13 ideas
| 22153 | Quine rejects Carnap's view that science and philosophy are distinct [Quine, by Boulter] |
| 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] |
| 19485 | Names have no ontological commitment, because we can deny that they name anything [Quine] |
| 19486 | We can use quantification for commitment to unnameable things like the real numbers [Quine] |
| 19487 | Without the analytic/synthetic distinction, Carnap's ontology/empirical distinction collapses [Quine] |
| 22442 | If lies were ever acceptable, with would undermine all duties based on contract [Kant] |
| 22441 | The law will protect you if you tell a truth which results in murder [Kant] |