Date: Dec 24, 2012 5:18 PM
Author: Graham Cooper
Subject: Re: Simple Refutation of Cantor's Proof

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
it doesn't contradict

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

You never construct a new digit Sequence
QED


Merry Xmas!

Herc
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