Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Cantor's diagonal argument.
Replies: 24   Last Post: Oct 12, 2001 5:16 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Jan Kristian Haugland

Posts: 265
Registered: 12/13/04
Re: Cantor's diagonal argument.
Posted: Oct 3, 2001 9:33 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply




On 3 Oct 2001, Giles Redgrave wrote:

> I'm having a problem understanding Cantor's diagonal argument (CDA).
> Specifically it's use in proving the uncountability of the reals from
> 0 to 1.

(...)
> We then have a number (consisting of an infinite series of ones) that
> is not in the original list because it is different from each n in
> it's nth digit.
>
> But it is clear that this number *is* in the list because it is a
> natural number.


No, it is clear that it is _not_ a natural
number, because it is not finite.

--

J K Haugland
http://home.hia.no/~jkhaug00







Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.