9 ideas
20183 | So-called 'though experiments' are just philosophers observing features of the world [Cappelen] |
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] |
20182 | The word 'intuitive' often plays not role at all in arguments, and can be removed [Cappelen] |
7399 | Even without religion, there are many guides to morality [Bacon] |