On 6 Apr., 12:02, William Hughes <wpihug...@gmail.com> wrote: > On Apr 6, 11:42 am, WM <mueck...@rz.fh-augsburg.de> wrote: > > > On 5 Apr., 23:50, William Hughes <wpihug...@gmail.com> wrote: > > > > Then G has an infinite number of > > > elements, but you cannot name a single element of G.- > > > In D\E we have another situation. If someone claims that D\E contains > > an element e, then we can prove that it is not an element of D\E by > > induction, since E is an inductive set. This makes D\E being the empty > > set. > > E does not change.
Then you should not dare to name one of the elements of D\E. I would immediately be able to prove that it is not in D\E.
> E is not D so D\E is not the empty set.
Prove it by naming an element of D that is not in E! For well-defined and fixed sets, this would be possible - in mathematics at least.