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] |
13190 | I don't admit infinite numbers, and consider infinitesimals to be useful fictions [Leibniz] |
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] |
17304 | As causation links across time, grounding links the world across levels [Schaffer,J] |
17306 | If ground is transitive and irreflexive, it has a strict partial ordering, giving structure [Schaffer,J] |
17308 | Explaining 'Adam ate the apple' depends on emphasis, and thus implies a contrast [Schaffer,J] |
17305 | I take what is fundamental to be the whole spatiotemporal manifold and its fields [Schaffer,J] |
17307 | Nowadays causation is usually understood in terms of equations and variable ranges [Schaffer,J] |