11 ideas
3653 | My Meditations are the complete foundation of my physics [Descartes] |
4736 | Truth is such a transcendentally clear notion that it cannot be further defined [Descartes] |
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] |
20581 | If men are born free, are women born slaves? [Astell] |
3652 | I can't prove the soul is indestructible, only that it is separate from the mortal body [Descartes] |