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] |
| 12219 | Whether a modal claim is true depends on how the object is described [Quine, by Fine,K] |
| 10922 | Objects are the values of variables, so a referentially opaque context cannot be quantified into [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] |
| 10923 | Aristotelian essentialism says a thing has some necessary and some non-necessary properties [Quine] |
| 10921 | Necessity can attach to statement-names, to statements, and to open sentences [Quine] |
| 10924 | Necessity is in the way in which we say things, and not things themselves [Quine] |
| 22187 | Genetic behaviours that have enhanced human success include aggression, rape and xenophobia [Wilson,EO, by Okasha] |