Re: Cantor's diagonal proof wrong?

mueckenh_at_rz.fh-augsburg.de
Date: 01/10/05 

Date: 10 Jan 2005 06:10:33 -0800

Shmuel (Seymour J.) Metz wrote:
> In <1105205430.608164.205210@c13g2000cwb.googlegroups.com>, on
> 01/08/2005
> at 09:30 AM, mueckenh@rz.fh-augsburg.de said:
>
> >Would you believe that all 35^10^10 texts with 10^10 letters, which
> >are possible in principle, do exist?
>
> No, because the alphabet that I use only has 26 letters[1], plus not
> all strings qualify as texts in English. I do, however, believe that
a
> somewhat smaller set of possible texts exists.

What is "possible existence"? Can anybody read them or not? Of course,
many different numbers do possibly exist. But simultaneous use can be
made of less than 2^10^100 only. And no string with more than 2^10^100
digits can ever be set up, in a mind, in a computer or elsewhere.
>
> I'm currently upstairs. Do you believe that the books I have
> downstairs exist? I;m not observing them.

I would believe it, if you say so, because I have no reason to distrust
you in this respect. But it cannot be excluded, that you books
meanwhile are elsewhere or nowhere.
>
> >being available to be compared, analysed, investigated?
>
> What does being available have to do with anything. The hope diamond
> isn't available to me; does that mean that it doesn't exist?

The diamond's existence has material roots. A number has nothing to
prove existence, except someone knows it.Like a novel which has not yet
been written.
>
> [1] Allowing for punctuation still doesn't get you to 35^10^10.

Include brackets, curly brackets (perhaps the book is on set theory,
numbers, and you will need more than 35. My keyboard has more than 40
keys.

I know, that my position is not easy to swallow.

Regards, WM

Relevant Pages

  • Re: Compression and crypto
    ... moved I really hate it thats its impossible to find a decent book ... on some of these books that they could be printed cheaply again ... the best high-school level science and math texts I've ... from rounding "ties" always in one direction, ...
    (sci.crypt)
  • Re: FETs Vesus Bipolars, Why More Efficient?
    ... I agree many basic books do this. ... academic degree level texts do this. ... > the fundamentals are more important that the more ...
    (sci.electronics.design)
  • Re: DH and Jacobs Children
    ... and why Deut looks different than the other four books. ... Moses probably led about 5000 men out of Egypt, ... texts are in concert with what we were taught. ... dialectic we encounter when trying to perceive and emulate G-d: ...
    (soc.culture.jewish.moderated)
  • Re: Id like some help with pronunciations
    ... I was largely responsible for getting those texts ... added to the Project Gutenberg archives as well. ... books, getting them into the Gutenberg archives. ... Does anyone out there know of a pronunciation guide on the Internet ...
    (soc.religion.bahai)
  • Re: Can any one help me calculate a statistical probability
    ... the catch here is this:The two texts are indeed ... That doesn't seem like a lot; if we looked at indices of two books on ... Then there's that one term which is a mistake in index 1 -- and this ... we might see two independent writers confuse ...
    (sci.stat.consult)
Quantcast