10 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] |
8526 | We might treat both tropes and substances as fundamental, so we can't presume it is just tropes [Daly] |
8527 | More than one trope (even identical ones!) can occupy the same location [Daly] |
8528 | If tropes are linked by the existence of concurrence, a special relation is needed to link them all [Daly] |
7517 | I could take a healthy infant and train it up to be any type of specialist I choose [Watson,JB] |