16 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] |
2986 | Belief is the most important propositional attitude [Lyons] |
3597 | Foundations need not precede other beliefs [Wittgenstein] |
3596 | Total doubt can't even get started [Wittgenstein, by Williams,M] |
2978 | Consciousness no longer seems essential to intentionality [Lyons] |
2984 | Perceptions could give us information without symbolic representation [Lyons] |
2979 | Propositional attitudes require representation [Lyons] |
2987 | Folk psychology works badly for alien cultures [Lyons] |
2977 | All thinking has content [Lyons] |
4721 | If you are not certain of any fact, you cannot be certain of the meaning of your words either [Wittgenstein] |