Date: Apr 6, 2013 4:57 PM
Subject: Re: Matheology � 224
WM <email@example.com> wrote:
> 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.
But E is not fixed, at least not outside Wolkenmuekenheim.
E is any one of infinitely many suitable sets,
but not any particular one of them.
If WM claims that E is a fixed set, let him specify which set it is and
show that his specification denotes a unique set, not mere one of many.