15 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] |
19718 | Indefeasibility does not imply infallibility [Grundmann] |
19717 | Can a defeater itself be defeated? [Grundmann] |
19716 | Simple reliabilism can't cope with defeaters of reliably produced beliefs [Grundmann] |
19715 | You can 'rebut' previous beliefs, 'undercut' the power of evidence, or 'reason-defeat' the truth [Grundmann] |
19713 | Defeasibility theory needs to exclude defeaters which are true but misleading [Grundmann] |
19714 | Knowledge requires that there are no facts which would defeat its justification [Grundmann] |
19719 | 'Moderate' foundationalism has basic justification which is defeasible [Grundmann] |
21932 | 'Différance' is the interwoven history of each sign [Derrida, by Glendinning] |