16 ideas
| 8207 | The quest for simplicity drove scientists to posit new entities, such as molecules in gases [Quine] |
| 8208 | In arithmetic, ratios, negatives, irrationals and imaginaries were created in order to generalise [Quine] |
| 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] |
| 8205 | Explaining events just by bodies can't explain two events identical in space-time [Quine] |
| 8206 | Necessity could be just generalisation over classes, or (maybe) quantifying over possibilia [Quine] |
| 6387 | A minimum requirement for a theory of meaning is that it include an account of truth [Davidson] |
| 6391 | A theory of truth tells us how communication by language is possible [Davidson] |
| 6388 | Is reference the key place where language and the world meet? [Davidson] |
| 6390 | With a holistic approach, we can give up reference in empirical theories of language [Davidson] |
| 6389 | To explain the reference of a name, you must explain its sentence-role, so reference can't be defined nonlinguistically [Davidson] |