9 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] |
12739 | If we are dreaming, it is sufficient that the events are coherent, and obey laws [Leibniz] |
12738 | Successful prediction shows proficiency in nature [Leibniz] |
11911 | Some philosophers always want more from morality; for others, nature is enough [Blackburn] |