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] |
9216 | Each area of enquiry, and its source, has its own distinctive type of necessity [Fine,K] |
9214 | Unsupported testimony may still be believable [Fine,K] |
20579 | Modern totalitarianism results from lack of social ties or shared goals [Arendt, by Oksala] |
20580 | The ideal subject for dictators is not a fanatic, but someone who can't distinguish true from false [Arendt, by Oksala] |
9215 | Causation is easier to disrupt than logic, so metaphysics is part of nature, not vice versa [Fine,K] |