13 ideas
| 17884 | Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner] |
| 17893 | 'Reflection principles' say the whole truth about sets can't be captured [Koellner] |
| 18270 | Choice suggests that intensions are not needed to ensure classes [Coffa] |
| 17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
| 17890 | There are at least eleven types of large cardinal, of increasing logical strength [Koellner] |
| 17887 | PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner] |
| 17891 | Arithmetical undecidability is always settled at the next stage up [Koellner] |
| 18263 | The semantic tradition aimed to explain the a priori semantically, not by Kantian intuition [Coffa] |
| 18272 | Platonism defines the a priori in a way that makes it unknowable [Coffa] |
| 18266 | Mathematics generalises by using variables [Coffa] |
| 1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
| 18279 | Relativity is as absolutist about space-time as Newton was about space [Coffa] |
| 5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |