10 ideas
10355 | Facts can't make claims true, because they are true claims [Brandom, by Kusch] |
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] |
17809 | Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel] |
17890 | There are at least eleven types of large cardinal, of increasing logical strength [Koellner] |
17810 | The study of mathematical foundations needs new non-mathematical concepts [Kreisel] |
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] |
17811 | The natural conception of points ducks the problem of naming or constructing each point [Kreisel] |