12 ideas
| 18261 | A simplification which is complete constitutes a definition [Kant] |
| 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] |
| 22275 | Logic gives us the necessary rules which show us how we ought to think [Kant] |
| 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] |
| 18260 | If we knew what we know, we would be astonished [Kant] |
| 22371 | Determinism threatens free will if actions can be causally traced to external factors [Foot] |
| 22372 | Not all actions need motives, but it is irrational to perform troublesome actions with no motive [Foot] |
| 22373 | People can act out of vanity without being vain, or even vain about this kind of thing [Foot] |