Re: DISPROOF of the uncountability of reals

From: Chakravarthi (pschax_at_gmail.com)
Date: 11/26/04 

Date: 25 Nov 2004 19:44:20 -0800

> Therefore no unique finite sequence of digits is made, although the
> construction is logically valid it does not generate a new sequence of
> digits. The implication that a new sequence is made is contradicted.
> Herc

 Cantor's argument was just that ...

 If u r clever to say that the diagnol sequence already exists
 down the line... by the initial assumption (to the contrary)
 that the list is deumerable.. this sequence exists with a number
 tag to it..say 'n'.
 Now the 'n'th bit or digit of this sequence (according to our construction)
 is diiferent from the diagnol sequence which is a contradiction.
 So the set of all the possible sequences is not denumerable.

 chax.

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