12 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] |
8851 | Coherentists say that regress problems are assuming 'linear' justification [Williams,M] |
8849 | Traditional foundationalism is radically internalist [Williams,M] |
8853 | Basic judgements are immune from error because they have no content [Williams,M] |
8855 | Sensory experience may be fixed, but it can still be misdescribed [Williams,M] |
8852 | In the context of scepticism, externalism does not seem to be an option [Williams,M] |