16 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] |
| 13331 | Part and whole contribute asymmetrically to one another, so must differ [Fine,K] |
| 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] |
| 13332 | Hierarchical set membership models objects better than the subset or aggregate relations do [Fine,K] |
| 13333 | The matter is a relatively unstructured version of the object, like a set without membership structure [Fine,K] |
| 13326 | A 'temporary' part is a part at one time, but may not be at another, like a carburetor [Fine,K] |
| 13327 | A 'timeless' part just is a part, not a part at some time; some atoms are timeless parts of a water molecule [Fine,K] |
| 13329 | An 'aggregative' sum is spread in time, and exists whenever a component exists [Fine,K] |
| 13330 | An 'compound' sum is not spread in time, and only exists when all the components exists [Fine,K] |
| 13328 | Two sorts of whole have 'rigid embodiment' (timeless parts) or 'variable embodiment' (temporary parts) [Fine,K] |
| 541 | Virtue comes more from habit than character [Critias] |
| 542 | Fear of the gods was invented to discourage secret sin [Critias] |