15 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] |
| 12295 | 3-D says things are stretched in space but not in time, and entire at a time but not at a location [Fine,K] |
| 12298 | Genuine motion, rather than variation of position, requires the 'entire presence' of the object [Fine,K] |
| 12296 | 4-D says things are stretched in space and in time, and not entire at a time or at a location [Fine,K] |
| 18882 | You can ask when the wedding was, but not (usually) when the bride was [Fine,K, by Simons] |
| 12297 | Three-dimensionalist can accept temporal parts, as things enduring only for an instant [Fine,K] |
| 9086 | The idea of abstract objects is not ontological; it comes from the epistemological idea of abstraction [Plantinga] |
| 9087 | Theists may see abstract objects as really divine thoughts [Plantinga] |
| 9085 | If propositions are concrete they don't have to exist, and so they can't be necessary truths [Plantinga] |
| 9084 | Propositions can't just be in brains, because 'there are no human beings' might be true [Plantinga] |