On 16 Mrz., 00:45, fom <fomJ...@nyms.net> wrote: > On 3/15/2013 2:44 PM, WM wrote: > > > > > > > On 15 Mrz., 20:17, fom <fomJ...@nyms.net> wrote: > >> On 3/15/2013 3:20 AM, WM wrote: > > >>> On 14 Mrz., 23:54, fom <fomJ...@nyms.net> wrote: > > >>>> Unless my translation is in error, Zermelo's > >>>> 1908 supports urelements. > > >>> Zermelo says (in your translation on p. 210, 3rd line): If T is a set > >>> whose elements M, N, R, ... all are sets different from the null > >>> set, ... > > >> That is Zermelo's description of the > >> axiom of choice. > > > T is the domain, the set which Zermelo uses to demonstrate his > > intention of the axiom of choice. > > No. T is an object of the domain Zermelo > describes in the beginning of the paper.
Your art of interpreting words is not in question here. We talked about the axiom of choice and Zermelo's explication of it.
You said: an element of T is not a set Zermelo said: T is a set whose elements M, N, R, are sets.
So you were wrong. There is no further discussion necessary, and I have no further interest in finding the reasons of your error.
> > Not for ZFC. There everything is a set. > > No.
Yes. It is simply so. Google it if you are lacking text books.