Subject: Cantor's diagonal method
Date: Su 01.11.98 11:49
From: Mike Deeth
In Cantor's Diagonal Proof he assumes a complete list of reals between 0 and 1 and then constructs a number that isn't listed. He then concludes something from this. :-(
I think the number isn't listed because THE LIST IS NOT COMPLETE. (and never can be) It is easy to show the list isn't complete by finding the smallest number > 0 listed. If this number is divided by 10 it will still be between 0 and 1 but clearly not on the list since it is now the smallest number.
Is Cantor's Diagonal Proof sound?