15 ideas
16415 | Esoteric metaphysics aims to be top science, investigating ultimate reality [Hofweber] |
16413 | Science has discovered properties of things, so there are properties - so who needs metaphysics? [Hofweber] |
23295 | Truth cannot be reduced to anything simpler [Davidson] |
23298 | Neither Aristotle nor Tarski introduce the facts needed for a correspondence theory [Davidson] |
23297 | The language to define truth needs a finite vocabulary, to make the definition finite [Davidson] |
23296 | We can elucidate indefinable truth, but showing its relation to other concepts [Davidson] |
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] |
16416 | The quantifier in logic is not like the ordinary English one (which has empty names, non-denoting terms etc) [Hofweber] |
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] |
23294 | It is common to doubt truth when discussing it, but totally accept it when discussing knowledge [Davidson] |