13 ideas
| 15547 | Negative existentials have 'totality facts' as truthmakers [Armstrong, by Lewis] |
| 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] |
| 7557 | To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell] |
| 10059 | In mathematic we are ignorant of both subject-matter and truth [Russell] |
| 7556 | A collection is infinite if you can remove some terms without diminishing its number [Russell] |
| 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] |
| 15542 | All possibilities are recombinations of properties in the actual world [Armstrong, by Lewis] |
| 7554 | Self-evidence is often a mere will-o'-the-wisp [Russell] |