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] |
| 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] |
| 13168 | My formal unifying atoms are substantial forms, which are forces like appetites [Leibniz] |
| 13169 | I call Aristotle's entelechies 'primitive forces', which originate activity [Leibniz] |
| 13170 | The analysis of things leads to atoms of substance, which found both composition and action [Leibniz] |
| 13171 | Substance must necessarily involve progress and change [Leibniz] |
| 23222 | A soul with physical extension is more likely than an immaterial soul that moves bodies [Elizabeth] |
| 13167 | We need the metaphysical notion of force to explain mechanics, and not just extended mass [Leibniz] |