14 ideas
| 12801 | Coherentists seek relations among beliefs that are simple, conservative and explanatory [Foley] |
| 17610 | The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy] |
| 13831 | Logic is based on transitions between sentences [Prawitz] |
| 17620 | Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy] |
| 13825 | Natural deduction introduction rules may represent 'definitions' of logical connectives [Prawitz] |
| 13823 | In natural deduction, inferences are atomic steps involving just one logical constant [Prawitz] |
| 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] |
| 12800 | Externalists want to understand knowledge, Internalists want to understand justification [Foley] |
| 12802 | We aren't directly pragmatic about belief, but pragmatic about the deliberation which precedes it [Foley] |
| 12803 | Justification comes from acceptable procedures, given practical constraints [Foley] |