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] |
| 21597 | Logical connectives have the highest precision, yet are infected by the vagueness of true and false [Russell, by Williamson] |
| 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] |
| 6402 | In 1927, Russell analysed force and matter in terms of events [Russell, by Grayling] |
| 9051 | Since natural language is not precise it cannot be in the province of logic [Russell, by Keefe/Smith] |
| 9054 | Vagueness is only a characteristic of representations, such as language [Russell] |
| 14732 | A perceived physical object is events grouped around a centre [Russell] |
| 14733 | An object produces the same percepts with or without a substance, so that is irrelevant to science [Russell] |
| 6418 | Russell rejected phenomenalism because it couldn't account for causal relations [Russell, by Grayling] |
| 21706 | At first matter is basic and known by sense-data; later Russell says matter is constructed [Russell, by Linsky,B] |