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Re: Notation
Posted:
May 25, 2013 5:41 AM


In article <knpuvk$e20$1@news.albasani.net>, Peter Percival <peterxpercival@hotmail.com> wrote:
> William Elliot wrote: > > On Sat, 25 May 2013, Aatu Koskensilta wrote: > >> William Elliot <marsh@panix.com> 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.
Usually, V is the proper class of all sets in whatever model one is using. That is, different models may have different V's.
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