On Fri, Oct 11, 2013 at 04:09:20AM -0700, Pierz wrote:
> > The former. Deutsch goes into the problem of infinite countable sets in 
> great detail and shows how this is *not* a problem for these uncountable 
> infinities (as Russell points out)), whereas it may be a problem for 

Interesting. I wasn't aware that Deutsch had done that. I was aware of
his critiques of measuring countable sets (such as in the infinity
hotel chapter of BoI), but not that he showed there was no such
problems with uncountable sets. Do you have a reference?

Of course, I take the position that "it will be alright on the night",
and give a plausible account of it in my solution of the White Rabbit
problem in my paper "Why Occams razor", but that has been criticised,
particularly by Bruno, that the measure issue is not so simple. I
don't feel confident enough in the maths of measure theory to say that
it isn't a problem, just that I can't see a problem in using
Solomonoff's measure. Hence my interest in Deutsch's take.



Prof Russell Standish                  Phone 0425 253119 (mobile)
Principal, High Performance Coders
Visiting Professor of Mathematics      hpco...@hpcoders.com.au
University of New South Wales          http://www.hpcoders.com.au

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