16 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] |
16025 | If things change they become different - but then no one thing undergoes the change! [Gallois] |
16026 | 4D: time is space-like; a thing is its history; past and future are real; or things extend in time [Gallois] |
16027 | If two things are equal, each side involves a necessity, so the equality is necessary [Gallois] |
8329 | Either causal relations are given in experience, or they are unobserved and theoretical [Sosa/Tooley] |
8324 | The problem is to explain how causal laws and relations connect, and how they link to the world [Sosa/Tooley] |
8328 | Causation isn't energy transfer, because an electron is caused by previous temporal parts [Sosa/Tooley] |
8327 | If direction of causation is just direction of energy transfer, that seems to involve causation [Sosa/Tooley] |
8330 | Are causes sufficient for the event, or necessary, or both? [Sosa/Tooley] |
8325 | The dominant view is that causal laws are prior; a minority say causes can be explained singly [Sosa/Tooley] |