10 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] |
18801 | Classical negation is circular, if it relies on knowing negation-conditions from truth-conditions [Dummett] |
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] |
21375 | Reason can be vicious, and great crimes have to be rational [Schopenhauer] |
21379 | Man's three basic ethical incentives are egoism, malice and compassion [Schopenhauer] |
21376 | Philosophy treats animals as exploitable things, ignoring the significance of their lives [Schopenhauer] |