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] |
8568 | A property is merely a constituent of laws of nature; temperature is just part of thermodynamics [Mellor] |
8564 | There is obviously a possible predicate for every property [Mellor] |
8566 | We need universals for causation and laws of nature; the latter give them their identity [Mellor] |
8565 | If properties were just the meanings of predicates, they couldn't give predicates their meaning [Mellor] |
9626 | A structure is an abstraction, focussing on relationships, and ignoring other features [Shapiro] |
8567 | Singular causation requires causes to raise the physical probability of their effects [Mellor] |