11 ideas
11257 | The Pythagoreans were the first to offer definitions [Politis, by Politis] |
11235 | 'True of' is applicable to things, while 'true' is applicable to words [Politis] |
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] |
22293 | Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter] |
11277 | Maybe 'What is being? is confusing because we can't ask what non-being is like [Politis] |
11248 | Necessary truths can be two-way relational, where essential truths are one-way or intrinsic [Politis] |