18 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] |
| 9175 | We may fix the reference of 'Cicero' by a description, but thereafter the name is rigid [Kripke] |
| 9171 | The function of names is simply to refer [Kripke] |
| 17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
| 13365 | Russell's Paradox is a stripped-down version of Cantor's Paradox [Priest,G on Russell] |
| 10711 | Russell's paradox means we cannot assume that every property is collectivizing [Potter on Russell] |
| 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] |
| 9127 | Russell refuted Frege's principle that there is a set for each property [Russell, by Sorensen] |
| 9174 | It is necessary that this table is not made of ice, but we don't know it a priori [Kripke] |
| 9172 | A 'rigid designator' designates the same object in all possible worlds [Kripke] |
| 9173 | We cannot say that Nixon might have been a different man from the one he actually was [Kripke] |
| 9176 | Modal statements about this table never refer to counterparts; that confuses epistemology and metaphysics [Kripke] |
| 9177 | Identity theorists must deny that pains can be imagined without brain states [Kripke] |
| 9178 | Pain, unlike heat, is picked out by an essential property [Kripke] |
| 7531 | We don't assert private thoughts; the objects are part of what we assert [Russell] |