10 ideas
22077 | Metaphysics is the lattice which makes incoming material intelligible [Hegel] |
6601 | Science rules the globe because of colonising power, not inherent rationality [Feyerabend] |
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] |
2561 | For Feyerabend the meaning of a term depends on a whole theory [Feyerabend, by Rorty] |
21756 | All revolutions result from spirit changing its categories, to achieve a deeper understanding [Hegel] |