12 ideas
| 20955 | Art can make reason more all-inclusive, by articulating what seemed inexpressible [Bowie] |
| 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] |
| 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] |
| 3291 | Emergent properties appear at high levels of complexity, but aren't explainable by the lower levels [Nagel] |
| 20950 | German Idealism says our thinking and nature have the same rational structure [Bowie] |
| 20942 | Nazis think race predetermines the self [Bowie] |
| 20946 | Rhetoric is built into language, so it cannot be stripped from philosophy [Bowie] |
| 3290 | Given the nature of heat and of water, it is literally impossible for water not to boil at the right heat [Nagel] |