Date: Jan 31, 2013 5:52 AM
Subject: Re: Endorsement of Wolfgang Mueckenheim from a serious mathematician
On 31 Jan., 10:49, Virgil <vir...@ligriv.com> wrote:
> In article
> WM <mueck...@rz.fh-augsburg.de> wrote:
> > On 31 Jan., 01:51, "Jesse F. Hughes" <je...@phiwumbda.org> wrote:
> > > david petry <david_lawrence_pe...@yahoo.com> writes:
> > > > On Wednesday, January 30, 2013 1:58:25 PM UTC-8, Toni...@yahoo.com wrote:
> > > WM has bigger fish to fry.
> > > He thinks that he's proved ZF is inconsistent,
> > Why depend on my arguments? ZFC, at least, has been proven
> > inconsistent, if 2 is not 1.
> > Remember Hausdorff-Banach-Tarski. There we start from the statement V
> > = 1 and find after applying some equivalence relations V = 2.
> I am not aware that the Banach-Tarski model of geometry has ever
> successfully been imbedded in ZFC.
> And until WM can establishes that the Banack-Tarski theorem can be
> stated and proven in ZFC, it poses no problem to ZFC, and even then
> would pose no problem in ZF.
> > Thereby it is completely irrelevant whether "unmeasurable point sets"
> > are involved or not. What counts is simply the first and the second
> > statement. Therefore ZFC has been proven inconsistent already - at
> > least for every sober non-matheologian.
> Meaning only in Wolkenmuekenheim.
> > > I don't know if that's what he's doing on p. 112, mind you, but at
> > > least sometimes, he is presenting what he mistakenly believes is a
> > > valid, mathematical proof.
> > I apply the rule that in mathematics identical exercises have to yield
> > identical results.
> > In analysis the continued fraction
> > ((((((10^0)/10)+10^1)/10)+10^2)/10)+...
> That does not appear to be in the form of a continued fraction at all.
Is that your only escape? Call it however you like. Every initial
segment is a fraction - and this is continued without end.
Imagine I put it as a homework. What is the limit? Do I have to accept
oo as well as <1 or even something in between, depending on what
mathematical tools are applied? By this trick every answer to every
homework has to be accepted. Well, I know, it has been so for nearly
one hundred years already. If the answer to 3 + 5 was 9, then the
pupil could refer to Banach-Tarski:
"Didn' t you mean marbles? Look, I have applied Banach-Tarski to one
of them and so have doubled it." You think, I should grade that very