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?

|Reply| |Previous| |Next| |Down| |Exchange index| |Contents| |Store|

Copyright © 1996-2017 Alexander Bogomolny

 61235715

Search by google: