11 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] |
| 5637 | Nowadays logic is seen as the science of extensions, not intensions [Scruton] |
| 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] |
| 5636 | Cartesian 'ideas' confuse concepts and propositions [Scruton] |
| 23692 | Good and bad are a matter of actions, not of internal dispositions [Foot] |
| 5660 | Allegiance is prior to the recognition of individual rights [Scruton] |
| 5653 | A right is a power which is enforced in the name of justice [Scruton] |