12 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] |
| 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] |
| 14637 | Only individuals have essences, so numbers (as a higher type based on classes) lack them [McMichael] |
| 14636 | Essences are the interesting necessary properties resulting from a thing's own peculiar nature [McMichael] |
| 14640 | Maybe essential properties have to be intrinsic, as well as necessary? [McMichael] |
| 14638 | Essentialism is false, because it implies the existence of necessary singular propositions [McMichael] |
| 9807 | In pursuing truth, anything less certain than mathematics is a waste of time [Descartes] |
| 14639 | Individuals enter into laws only through their general qualities and relations [McMichael] |