12 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] |
17813 | Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP] |
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] |
17812 | Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP] |
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] |
22485 | Non-cognitivists give the conditions of use of moral sentences as facts about the speaker [Foot] |
22486 | The mistake is to think good grounds aren't enough for moral judgement, which also needs feelings [Foot] |
22487 | Moral arguments are grounded in human facts [Foot] |