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] |
16695 | Successive entities are in flux, flowing in existence, with different parts at different times [Oresme] |
6871 | We can't only believe things if we are currently conscious of their justification - there are too many [Goldman] |
6872 | Internalism must cover Forgotten Evidence, which is no longer retrievable from memory [Goldman] |
6874 | Internal justification needs both mental stability and time to compute coherence [Goldman] |
6873 | Coherent justification seems to require retrieving all our beliefs simultaneously [Goldman] |
6875 | Reliability involves truth, and truth is external [Goldman] |