Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.

Topic: Mathelogy S 011
Replies: 11   Last Post: May 22, 2012 6:02 PM

 Messages: [ Previous | Next ]
 Virgil Posts: 4,482 Registered: 1/6/11
Re: Mathelogy S 011
Posted: May 21, 2012 4:27 AM

In article
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 21 Mai, 01:22, Virgil <vir...@ligriv.com> wrote:
> > In article
> >
> >  WM <mueck...@rz.fh-augsburg.de> wrote:

> > > On 20 Mai, 00:07, Alan Smaill <sma...@SPAMinf.ed.ac.uk> wrote:
> > > > That work would be very worthwhile, if it can be done.
> > > > You tell us that the contradictions are glaring, obvious etc.

> >
> > > Do you need ZFC to understand Cantor's diagonal proof? No?
> > > My is the same. By aleph_0 borders of aleph_0 intervals around aleph_0
> > > rational aleph_0 intervals are created. (I cannot tell you any of
> > > them, but they are there like every well-ordering of the reals.) Some
> > > of them don't contain a rational number.

> >
> > WM goofs again: The only real intervals failing to contain a rational
> > are of length 0 with an irrational endpoint.

>
> There should be uncountably many such intervals of length 0. And they
> must be separated by rational numbers. That is a requirement of real
> mathematics.

Nonsense! No single real number, such as real intervals of length 0
represent, is required to be separated from itself by anything, at least
not in any normal form of mathematics.

What transpires in WM's matheological mish-mashes may differ.
--

Date Subject Author
5/19/12 Alan Smaill
5/20/12 mueckenh@rz.fh-augsburg.de
5/20/12 Virgil
5/20/12 mueckenh@rz.fh-augsburg.de
5/20/12 Virgil
5/21/12 mueckenh@rz.fh-augsburg.de
5/21/12 Virgil
5/21/12 mueckenh@rz.fh-augsburg.de
5/21/12 Virgil
5/22/12 mueckenh@rz.fh-augsburg.de
5/22/12 Virgil