15 ideas
| 9254 | In philosophy the truth can only be reached via the ruins of the false [Prichard] |
| 22752 | Reasoning is impossible without a preconception [Sext.Empiricus] |
| 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] |
| 22754 | Saying the good is useful or choiceworth or happiness-creating is not the good, but a feature of it [Sext.Empiricus] |
| 22755 | Like a warming fire, what is good by nature should be good for everyone [Sext.Empiricus] |
| 22756 | If a desire is itself desirable, then we shouldn't desire it, as achieving it destroys it [Sext.Empiricus] |
| 9256 | I see the need to pay a debt in a particular instance, and any instance will do [Prichard] |
| 9257 | The complexities of life make it almost impossible to assess morality from a universal viewpoint [Prichard] |
| 9255 | Seeing the goodness of an effect creates the duty to produce it, not the desire [Prichard] |