10 ideas
6564 | To affirm 'p and not-p' is to have mislearned 'and' or 'not' [Quine] |
21697 | The Struthionic Fallacy is that of burying one's head in the sand [Quine] |
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] |
21698 | All relations, apart from ancestrals, can be reduced to simpler logic [Quine] |
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] |
21696 | Nominalism rejects both attributes and classes (where extensionalism accepts the classes) [Quine] |