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] |
14759 | A thing is simply a long event, linked by qualities, and spatio-temporal unity [Broad] |
11842 | If short-lived happenings like car crashes are 'events', why not long-lived events like Dover Cliffs? [Broad] |
14802 | Physical and psychical laws of mind are either independent, or derived in one or other direction [Peirce] |
14800 | The world is full of variety, but laws seem to produce uniformity [Peirce] |
8160 | The present and past exist, but the future does not [Broad, by Dummett] |
14609 | We could say present and past exist, but not future, so that each event adds to the total history [Broad] |
22933 | We imagine the present as a spotlight, moving across events from past to future [Broad] |
14801 | Darwinian evolution is chance, with the destruction of bad results [Peirce] |