14 ideas
15970 | People generalise because it is easier to understand, and that is mistaken for deep philosophy [Feynman] |
19426 | 'Nominal' definitions just list distinguishing characteristics [Leibniz] |
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] |
19424 | Knowledge needs clarity, distinctness, and adequacy, and it should be intuitive [Leibniz] |
19427 | True ideas represent what is possible; false ideas represent contradictions [Leibniz] |
19425 | In the schools the Four Causes are just lumped together in a very obscure way [Leibniz] |
9410 | Physical Laws are rhythms and patterns in nature, revealed by analysis [Feynman] |
18530 | Nobody understands quantum mechanics [Feynman] |
17707 | We should regard space as made up of many tiny pieces [Feynman, by Mares] |