To summarise, there appears to be two quite distinct questions here:

a) Given there are regularities in Nature, why is our mathematics so
effective. As Brent says, this is not surprising - evolution would see
to it that we would choose a mathematical system out of the many
possible that would be effective.

b) Why are there regularities in Nature describable by maths in the
first place? This is the core of Wigner's question IMHO, and what Liz
was referring to. To that end, the various proposals by Tegmark,
Marchal, Solomonoff and so on are candidate answers - I won't describe
my preferred solution here, as that should be well known by now.

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
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