William Elliot wrote: > On Sat, 25 May 2013, Aatu Koskensilta wrote: >> William Elliot <firstname.lastname@example.org> writes: >> >>> V is the FC universe. >>> L is the constructible universe. >>> L_omega0 is the omega_0th level of the constructible universe. >>> >>> Correct or needing correcting? > >> What does "FC universe" mean? In standard notation, V refers to the >> totality of sets we find in the cumulative hierarchy. > > FC means a topo for ZFC.
I don't think there is _the_ ZFC universe: if ZFC has a model at all, then it has a number of different models. I suppose one might say that V is the intended interpretation of ZF.
-- I think I am an Elephant, Behind another Elephant Behind /another/ Elephant who isn't really there.... A.A. Milne