10 ideas
6602 | Philosophy is like a statue which is worshipped but never advances [Bacon] |
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] |
16724 | The senses deceive, but also show their own errors [Bacon] |
6603 | Nature is revealed when we put it under pressure rather than observe it [Bacon] |
22230 | Sartre gradually realised that freedom is curtailed by the weight of situation [Sartre, by Daigle] |