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] |
| 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] |
| 16641 | Whiteness does not exist, but by it something can exist-as-white [Aquinas] |
| 22170 | Senses grasp external properties, but the understanding grasps the essential natures of things [Aquinas] |
| 22169 | Initial universal truths are present within us as potential, to be drawn out by reason [Aquinas] |
| 22168 | Minds take in a likeness of things, which activates an awaiting potential [Aquinas] |
| 22022 | Beauty motivates morality, by harmonising feeling and reason [Schiller, by Pinkard] |
| 7675 | Schiller speaks obsessively of freedom throughout his works [Schiller, by Berlin] |