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] |
23633 | Many truths seem obvious, and point to universal agreement - which is what we find [Reid] |
23630 | Only philosophers treat ideas as objects [Reid] |
23629 | The ambiguity of words impedes the advancement of knowledge [Reid] |
22481 | There is no restitution after a dilemma, if it only involved the agent, or just needed an explanation [Foot, by PG] |
22482 | I can't understand how someone can be necessarily wrong whatever he does [Foot] |
23632 | Similar effects come from similar causes, and causes are only what are sufficient for the effects [Reid] |