9 ideas
23025 | Philosophers should be more inductive, and test results by their conclusions, not their self-evidence [Russell] |
6851 | We overvalue whether arguments are valid, and undervalue whether they are interesting [Monk] |
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] |
6850 | Wittgenstein pared his life down in his search for decency [Monk] |