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] |
3626 | Knowing the attributes is enough to reveal a substance [Descartes] |
3630 | Our thinking about external things doesn't disprove the existence of innate ideas [Descartes] |
3631 | A blind man may still contain the idea of colour [Descartes] |
19384 | Space and time are the order of all possibilities, and don't just relate to what is actual [Leibniz] |
3640 | Possible existence is a perfection in the idea of a triangle [Descartes] |
3639 | Necessary existence is a property which is uniquely part of God's essence [Descartes] |