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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: 4,124 Registered: 5/20/10
Re: Simple Refutation of Cantor's Proof
Posted: Dec 24, 2012 5:18 PM

On Dec 25, 4:48 am, William Hughes <wpihug...@gmail.com> wrote:
> On Dec 24, 4:01 am, Graham Cooper <grahamcoop...@gmail.com> wrote:
>

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

>
> > OK - THINK
>
> Induction

only in the HR sense Will!

OK some great replies here!

I think WM point is correct here, the ENTIRE LIST can exist

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

each digit a FINITE distance from the Origin.

There is no constructible issue with the List itself.

----------------------

And GG has a good point, once he saw my 2 claims Sequitur together

[1] you change each digit ONE AT A TIME
0.694...
but this process NEVER STOPS

[2] and you NEVER CONSTRUCT A NEW DIGIT SEQUENCE!

----------------------

this is actually 100% correct under Static and Process analysis.

----------------------

GG counter example of

f(x) = 2*x

HOLDING for the infinite domain
is a good point however, although
he had to hand pick the example so

[1]
[1]->[2]
[2]

You never construct a new digit Sequence
QED

Merry Xmas!

Herc
--
www.CAMGIRLS.com
TOTAL: \$2834 2012-12-21 Fri
Not the End of the World!

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