11 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] |
16678 | Without magnitude a thing would retain its parts, but they would have no location [Buridan] |
16793 | A thing is (less properly) the same over time if each part is succeeded by another [Buridan] |
16577 | Induction is not demonstration, because not all of the instances can be observed [Buridan] |
18284 | Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper] |
16576 | Science is based on induction, for general truths about fire, rhubarb and magnets [Buridan] |