On Thu, Sep 13, 2012 at 7:55 AM, Stephen P. King <stephe...@charter.net>wrote:

> > Godel numberings are not unique.

True, there are a infinite number of ways you could do Godel numbering.

> Thus there is no a single abslute structure of relations, there is an
> infinity

And you can use any one of those Godel numbering schemes to show that there
is not a single one of those infinite number of structural relationships
that are powerful enough to do arithmetic and be consistent and complete.
The hope is that the scheme mathematicians are using is consistent but
incomplete, if it's inconsistent that would be a disaster.

 John K Clark

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