14 ideas
| 13917 | Metaphysics aims to identify categories of being, and show their interdependency [Lowe] |
| 13919 | Philosophy aims not at the 'analysis of concepts', but at understanding the essences of things [Lowe] |
| 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] |
| 3291 | Emergent properties appear at high levels of complexity, but aren't explainable by the lower levels [Nagel] |
| 13918 | Holes, shadows and spots of light can coincide without being identical [Lowe] |
| 13921 | All things must have an essence (a 'what it is'), or we would be unable to think about them [Lowe] |
| 13922 | Knowing an essence is just knowing what the thing is, not knowing some further thing [Lowe] |
| 13920 | Each thing has to be of a general kind, because it belongs to some category [Lowe] |
| 3290 | Given the nature of heat and of water, it is literally impossible for water not to boil at the right heat [Nagel] |