18 ideas
19463 | Induction assumes some uniformity in nature, or that in some respects the future is like the past [Ayer] |
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] |
5500 | Biologists see many organic levels, 'abstract' if seen from below, 'structural' if seen from above [Lycan] |
5494 | 'Lightning is electric discharge' and 'Phosphorus is Venus' are synthetic a posteriori identities [Lycan] |
19461 | Knowing I exist reveals nothing at all about my nature [Ayer] |
19459 | To say 'I am not thinking' must be false, but it might have been true, so it isn't self-contradictory [Ayer] |
19460 | 'I know I exist' has no counterevidence, so it may be meaningless [Ayer] |
19464 | We only discard a hypothesis after one failure if it appears likely to keep on failing [Ayer] |
19462 | Induction passes from particular facts to other particulars, or to general laws, non-deductively [Ayer] |
5496 | Functionalism has three linked levels: physical, functional, and mental [Lycan] |
5499 | A mental state is a functional realisation of a brain state when it serves the purpose of the organism [Lycan] |
5501 | People are trying to explain biological teleology in naturalistic causal terms [Lycan] |