12 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] |
10304 | Very few things in set theory remain valid in intuitionist mathematics [Bernays] |
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] |
10303 | Restricted Platonism is just an ideal projection of a domain of thought [Bernays] |
10306 | Mathematical abstraction just goes in a different direction from logic [Bernays] |
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] |
22373 | People can act out of vanity without being vain, or even vain about this kind of thing [Foot] |