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

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Jan Kristian Haugland

Posts: 265
Registered: 12/13/04
Re: Cantor's diagonal argument.
Posted: Oct 3, 2001 9:33 AM
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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

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