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] |
13965 | Semantics as theory of meaning and semantics as truth-based logical consequence are very different [Soames] |
13964 | Semantic content is a proposition made of sentence constituents (not some set of circumstances) [Soames] |
18239 | What is contemplated must have a higher value than contemplation [Kant, by Korsgaard] |
18238 | Only a good will can give man's being, and hence the world, a final purpose [Kant] |
22053 | The Critique of Judgement aims for a principle that unities humanity and nature [Kant, by Bowie] |
18237 | Without men creation would be in vain, and without final purpose [Kant] |