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] |
16755 | The possible Aristotelian view that forms are real and active principles is clearly wrong [Fine,K, by Pasnau] |
21315 | A tree remains the same in the popular sense, but not in the strict philosophical sense [Butler] |
21317 | Despite consciousness fluctuating, we are aware that it belongs to one person [Butler] |
21313 | If consciousness of events makes our identity, then if we have forgotten them we didn't exist then [Butler] |
21314 | Consciousness presupposes personal identity, so it cannot constitute it [Butler] |
21318 | If the self changes, we have no responsibilities, and no interest in past or future [Butler] |