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Topic: Notation
Replies: 14   Last Post: May 27, 2013 1:46 AM

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Barb Knox

Posts: 572
Registered: 12/6/04
Re: Notation
Posted: May 25, 2013 5:41 AM
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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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| B B a a r b b | altum videtur.
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