15 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] |
304 | Beautiful things must be different from beauty itself, but beauty itself must be present in each of them [Plato] |
16120 | Knowing how to achieve immortality is pointless without the knowledge how to use immortality [Plato] |
303 | Say how many teeth the other has, then count them. If you are right, we will trust your other claims [Plato] |
22371 | Determinism threatens free will if actions can be causally traced to external factors [Foot] |
22372 | Not all actions need motives, but it is irrational to perform troublesome actions with no motive [Foot] |
302 | What knowledge is required to live well? [Plato] |
301 | Only knowledge of some sort is good [Plato] |
22373 | People can act out of vanity without being vain, or even vain about this kind of thing [Foot] |
305 | Something which lies midway between two evils is better than either of them [Plato] |