On Tue, Jul 01, 2014 at 04:30:52PM -0400, Stephen Paul King wrote:
> Hi Russell,
> 
> Ah! I don't quite grok it completely, but thank you for this example. We
> had to assume an already existing measure on the Reals. Where does that
> come from?
> 

The standard measure on the reals is based on the observation that we
expect the set of real numbers starting with 0.110... to have the same
measure as those starting with 0.111... That would be a reasonable
default assumption for most purposes.

We get a rather similar measure induced on UD* by observing the first
person probability for observing W or M (in the WM duplication
scenario) is 0.5.

Cheers


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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

 Latest project: The Amoeba's Secret 
         (http://www.hpcoders.com.au/AmoebasSecret.html)
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