10 ideas
7500 | Early Greeks cared about city and companions; later Greeks concentrated on the self [Foucault] |
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] |
18203 | Avoid non-predicative classifications and definitions [Poincaré] |
7501 | Why couldn't a person's life become a work of art? [Foucault] |
7498 | Greeks and early Christians were much more concerned about food than about sex [Foucault] |