From: Christian Szegedy (firstname.lastname@example.org)
Date: Thu Aug 19 2004 - 05:39:42 MDT
Marc Geddes wrote:
>It just means that new kinds of insight and ingenuity
>would constantly have to be deployed in order to get
>more and more digits. And presumably the digits
>obtained would not be absolutely certain to be correct
>(just highly probable). That's my interpretation.
Yes. There is a number of digits after you provably can't prove
the correctness of your sequence.
I don't think that one could ever precisely define the notion of
"certainity about the correctness" of a mathematical statement.
One can even easily prove that there are "short" statements
whose shortest proof (or refutation) (e.g. in ZFC) would need more
characters then particles in the known universe.
This archive was generated by hypermail 2.1.5 : Wed Jul 17 2013 - 04:00:48 MDT