14 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] |
13152 | We can talk of 'innumerable number', about the infinite points on a line [Newton] |
13151 | Not all infinites are equal [Newton] |
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] |
20957 | We don't choose our characters, yet we still claim credit for the actions our characters perform [Schelling] |
15863 | The principles of my treatise are designed to fit with a belief in God [Newton] |
8340 | I do not pretend to know the cause of gravity [Newton] |
13150 | The motions of the planets could only derive from an intelligent agent [Newton] |
12178 | That gravity should be innate and essential to matter is absurd [Newton] |