18200 | Very large sets should be studied in an 'if-then' spirit [Putnam] |
18175 | For any cardinal there is always a larger one (so there is no set of all sets) [Maddy] |
18172 | Infinity has degrees, and large cardinals are the heart of set theory [Maddy] |
18196 | An 'inaccessible' cardinal cannot be reached by union sets or power sets [Maddy] |
17890 | There are at least eleven types of large cardinal, of increasing logical strength [Koellner] |