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Topic: Who's up for a friendly round of debating CANTORS PROOF?
Replies: 134   Last Post: Aug 29, 2011 7:17 PM

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 Graham Cooper Posts: 4,044 Registered: 5/20/10
Re: Who's up for a friendly round of debating CANTORS PROOF?
Posted: Aug 19, 2011 7:10 PM

On Aug 20, 8:55 am, SPQR <S...@roman.gov> wrote:
> In article
>  Graham Cooper <grahamcoop...@gmail.com> wrote:
>

> > > > You have not accounted for this anywhere in the proof. You merely
> > > > wave your hands and say "BUT IT WORKS ON ANY DIAGONAL!"

>
> > > Actually, it was Cantor that said it, and what Cantor said was that his
> > > method works on any listing of binary sequences. He never said anything
> > > like what you claim.

>
> > sure they work on any listing of binary sequences taken as an
> > individual dataset.

>
> > but the claims of missing elements should hold up for any given SET as
> > well as any given LIST.

>
> The standard way to establish COUNTABILITY of a set is to list its
> elements, i.e., create a surjection from N onto the set. Cantor's
> argument sows that this is not always possible.
>
> When impossible the relevant set is called uncountable. as is the set of
> all functions from |N to {m,w}
>

> > Cantor had 2 proofs didn't he?
>
> > Powerset and anti-diagonal.
>
> Actually, he has three proofs, but his first one, of the uncountability
> of a real interval, is doubtless beyond you comprehension.

well it seems I cannot mention digits, permutations, antidiagonals,
reals and numerous other aspects as they are deemed unrelated to his
proofs.

You however, gave 2 missing reals to my LISTS

0.01111111111100000000000...
and
0.11111111111100000000000...

Can you explain why you chose those particular binary digits in the
first binary place?

Herc

Date Subject Author
8/13/11 Graham Cooper
8/13/11 Rupert
8/14/11 SPQR
8/14/11 Rupert
8/14/11 SPQR
8/14/11 Rupert
8/14/11 Frederick Williams
8/14/11 Graham Cooper
8/15/11 Graham Cooper
8/20/11 Rupert
8/20/11 Graham Cooper
8/20/11 Graham Cooper
8/20/11 SPQR
8/15/11 Porky Pig Jr
8/17/11 Graham Cooper
8/17/11 at1with0
8/17/11 Jim Burns
8/18/11 Transfer Principle
8/17/11 mueckenh@rz.fh-augsburg.de
8/17/11 SPQR
8/17/11 at1with0
8/18/11 Graham Cooper
8/18/11 SPQR
8/18/11 at1with0
8/19/11 mueckenh@rz.fh-augsburg.de
8/19/11 SPQR
8/20/11 Virgil
8/20/11 mueckenh@rz.fh-augsburg.de
8/20/11 SPQR
8/20/11 Graham Cooper
8/20/11 SPQR
8/18/11 mueckenh@rz.fh-augsburg.de
8/19/11 hagman
8/19/11 mueckenh@rz.fh-augsburg.de
8/19/11 Graham Cooper
8/19/11 SPQR
8/19/11 Graham Cooper
8/19/11 SPQR
8/19/11 Graham Cooper
8/19/11 SPQR
8/19/11 Graham Cooper
8/19/11 SPQR
8/19/11 Graham Cooper
8/19/11 SPQR
8/19/11 Graham Cooper
8/19/11 SPQR
8/19/11 Graham Cooper
8/19/11 SPQR
8/19/11 Graham Cooper
8/20/11 SPQR
8/20/11 Graham Cooper
8/20/11 SPQR
8/20/11 Graham Cooper
8/20/11 SPQR
8/19/11 Graham Cooper
8/20/11 at1with0
8/20/11 Graham Cooper
8/20/11 at1with0
8/20/11 Graham Cooper
8/20/11 at1with0
8/20/11 Graham Cooper
8/20/11 SPQR
8/20/11 Graham Cooper
8/21/11 SPQR
8/21/11 Peter Webb
8/21/11 Graham Cooper
8/20/11 SPQR
8/20/11 Graham Cooper
8/20/11 Jim Burns
8/20/11 Graham Cooper
8/20/11 SPQR
8/20/11 at1with0
8/20/11 Graham Cooper
8/21/11 SPQR
8/21/11 mueckenh@rz.fh-augsburg.de
8/21/11 SPQR
8/21/11 mueckenh@rz.fh-augsburg.de
8/21/11 mueckenh@rz.fh-augsburg.de
8/21/11 Graham Cooper
8/21/11 SPQR
8/21/11 SPQR
8/20/11 SPQR
8/20/11 Graham Cooper
8/20/11 SPQR
8/20/11 SPQR
8/19/11 SPQR
8/18/11 Graham Cooper
8/18/11 SPQR
8/18/11 Graham Cooper
8/19/11 SPQR
8/19/11 Graham Cooper
8/19/11 SPQR
8/19/11 Graham Cooper
8/19/11 SPQR
8/19/11 Graham Cooper
8/19/11 mueckenh@rz.fh-augsburg.de
8/19/11 SPQR
8/13/11 at1with0
8/14/11 donstockbauer@hotmail.com
8/14/11 Marshall
8/15/11 Graham Cooper
8/14/11 Transfer Principle
8/17/11 master1729
8/18/11 Transfer Principle
8/14/11 Newberry
8/17/11 Transfer Principle
8/16/11 DBatchelo1
8/17/11 Graham Cooper
8/17/11 Dan Christensen
8/18/11 Newberry
8/18/11 SPQR
8/18/11 Newberry
8/19/11 SPQR
8/19/11 Newberry
8/18/11 Dan Christensen
8/18/11 Newberry
8/18/11 Graham Cooper
8/18/11 Graham Cooper
8/18/11 Dan Christensen
8/18/11 Virgil
8/18/11 Graham Cooper
8/17/11 mueckenh@rz.fh-augsburg.de
8/17/11 SPQR
8/17/11 mueckenh@rz.fh-augsburg.de
8/17/11 SPQR
8/18/11 DBatchelo1
8/18/11 mueckenh@rz.fh-augsburg.de
8/18/11 SPQR
8/19/11 mueckenh@rz.fh-augsburg.de
8/19/11 SPQR
8/20/11 Virgil
8/19/11 Newberry
8/29/11 |-| E R C
8/29/11 Virgil
8/29/11 Graham Cooper