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

 Messages: [ Previous | Next ]
 Graham Cooper Posts: 4,033 Registered: 5/20/10
Re: Simple Refutation of Cantor's Proof
Posted: Dec 26, 2012 12:15 AM

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

and it equally applies to the whole plane.

+----->
| 0. 542..
| 0. 983..
| 0. 143..
| 0. 543..
| ...
v

Transpose Plane
+----->
| 0. 666..
| 0. 556..
| 0. 666..
| 0. 666..
| ...
v

D = 0.656...

Just use the Transpose Plane intermediate step to see your error.

Herc

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