Re: Cantor's diagonal proof wrong?

From: Luis A. Rodriguez (luiroto_at_yahoo.com)
Date: 11/15/04 

Date: 15 Nov 2004 08:38:54 -0800

> Could you please tell me then which integer corresponds to the real
> number 1/9 (or 0.11111111111111111111... if you prefer)?
> Jose Carlos Santos

 The array that Cantor devised for demonstrating the countability of
rationals permit us to assign an integer N to each fraction n/d.

Be S = n + d . If S is odd then: N = (S-1)(S-2)/2 + d
If S in even then: N = (S-1)(S-2)/2 + n.
For your fraction 1/9 we have: N = 9x8/2 + 1 = 37
The famous fraction 355/113 occupy the position N = 109166.