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Re: Simple Refutation of Cantor's Proof
Posted:
Dec 24, 2012 5:18 PM
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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.
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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!
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this is actually 100% correct under Static and Process analysis.
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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
--
www.CAMGIRLS.com
TOTAL: $2834 2012-12-21 Fri
Not the End of the World!
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