11 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] |
8507 | Some think of reality as made of things; I prefer facts or states of affairs [Armstrong] |
3291 | Emergent properties appear at high levels of complexity, but aren't explainable by the lower levels [Nagel] |
8506 | Particulars and properties are distinguishable, but too close to speak of a relation [Armstrong] |
8505 | Refusal to explain why different tokens are of the same type is to be an ostrich [Armstrong] |
3290 | Given the nature of heat and of water, it is literally impossible for water not to boil at the right heat [Nagel] |