Search All of the Math Forum:

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

Topic: Simple Refutation of Cantor's Proof
Replies: 27   Last Post: Dec 30, 2012 12:20 AM

 Messages: [ Previous | Next ]
 Virgil Posts: 4,479 Registered: 1/6/11
Re: Simple NON-Refutation of Cantor's Proof
Posted: Dec 26, 2012 1:20 AM

In article
Graham Cooper <grahamcooper7@gmail.com> wrote:

> On Dec 26, 1:23 pm, Virgil <vir...@ligriv.com> wrote:
> > In article
> >  Graham Cooper <grahamcoop...@gmail.com> wrote:
> >

> > > > Since the constructed string must differ from each string listed in L in
> > > > a way that gives it a different value from that listed string, how can
> > > > it possibly still be among a set of values from which it is by
> > > > construction excluded?

> >
> > > the size of the string is not fixed.
> >
> > The one to be constructed is constructed  to be of the same length as
> > the ones listed.
> >
> >
> >

> > > You construct a portion, you construct another portion, and you never
> > > stop.

> >
> > One usually creates a rule which defines all the digits of the
> > construction simultaneously.
> >

>
> Right but your rule is just applied to one digit at a time

Not when it is being applied to all infinitely many strings
simultaneously.
--

Date Subject Author
12/24/12 Graham Cooper
12/24/12 J. Antonio Perez M.
12/24/12 Phillip Helbig---remove CLOTHES to reply
12/24/12 george
12/24/12 mueckenh@rz.fh-augsburg.de
12/24/12 Virgil
12/25/12 Phillip Helbig---remove CLOTHES to reply
12/25/12 Shmuel (Seymour J.) Metz
12/25/12 patmpowers@gmail.com
12/24/12 george
12/29/12 Graham Cooper
12/29/12 Virgil
12/29/12 camgirls@hush.com
12/29/12 Virgil
12/29/12 Graham Cooper
12/30/12 Virgil
12/24/12 george
12/24/12 William Hughes
12/24/12 Graham Cooper
12/25/12 Virgil
12/25/12 Graham Cooper
12/25/12 Virgil
12/25/12 Graham Cooper
12/25/12 Virgil
12/25/12 Graham Cooper
12/25/12 Virgil
12/26/12 Graham Cooper
12/26/12 Virgil