11 ideas
13099 | Analysing right down to primitive concepts seems beyond our powers [Leibniz] |
19389 | Truth is a characteristic of possible thoughts [Leibniz] |
19388 | True and false seem to pertain to thoughts, yet unthought propositions seem to be true or false [Leibniz] |
5022 | We hold a proposition true if we are ready to follow it, and can't see any objections [Leibniz] |
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] |