17 ideas
11064 | Classes can be reduced to propositional functions [Russell, by Hanna] |
14212 | A consistent theory just needs one model; isomorphic versions will do too, and large domains provide those [Lewis] |
6407 | The class of classes which lack self-membership leads to a contradiction [Russell, by Grayling] |
10418 | Type theory seems an extreme reaction, since self-exemplification is often innocuous [Swoyer on Russell] |
10047 | Russell's improvements blocked mathematics as well as paradoxes, and needed further axioms [Russell, by Musgrave] |
23478 | Type theory means that features shared by different levels cannot be expressed [Morris,M on Russell] |
21718 | Ramified types can be defended as a system of intensional logic, with a 'no class' view of sets [Russell, by Linsky,B] |
18126 | A set does not exist unless at least one of its specifications is predicative [Russell, by Bostock] |
18128 | Russell is a conceptualist here, saying some abstracta only exist because definitions create them [Russell, by Bostock] |
18124 | Vicious Circle says if it is expressed using the whole collection, it can't be in the collection [Russell, by Bostock] |
14213 | Anti-realists see the world as imaginary, or lacking joints, or beyond reference, or beyond truth [Lewis] |
14210 | A gerrymandered mereological sum can be a mess, but still have natural joints [Lewis] |
14215 | Causal theories of reference make errors in reference easy [Lewis] |
14209 | Descriptive theories remain part of the theory of reference (with seven mild modifications) [Lewis] |
21796 | Man is God if he raises himself, by denying his nature and finitude [Hegel] |
21783 | State slavery is a phase of education, moving towards a full culture [Hegel] |
21784 | Slavery is unjust, because humanity is essentially free [Hegel] |