11 ideas
21552 | Common speech is vague; its vocabulary and syntax must be modified, for precision [Russell] |
21551 | Empirical words need ostensive definition, which makes them egocentric [Russell] |
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] |
8978 | Events are made of other things, and are not fundamental to ontology [Bennett] |
21550 | Science reduces indexicals to a minimum, but they can never be eliminated from empirical matters [Russell] |
10364 | Facts are about the world, not in it, so they can't cause anything [Bennett] |