12 ideas
| 5435 | An interpreter of a text, because of wider knowledge, can understand it better than its author [Schleiermacher, by Mautner] |
| 22028 | Unity emerges from understanding particulars, so understanding is prior to seeing unity [Schleiermacher] |
| 10882 | Predicative definitions only refer to entities outside the defined collection [Horsten] |
| 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] |
| 10884 | A theory is 'categorical' if it has just one model up to isomorphism [Horsten] |
| 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] |
| 10885 | Computer proofs don't provide explanations [Horsten] |
| 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] |
| 10881 | The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten] |