12 ideas
21962 | Metaphysics is the roots of the tree of science [Descartes] |
3659 | I know the truth that God exists and is the author of truth [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] |
3657 | Understanding, not the senses, gives certainty [Descartes] |
3660 | Atheism arises from empiricism, because God is intangible [Descartes] |
9287 | Bruno said that ancient Egyptian magic was the true religion [Bruno, by Yates] |