On Mon, Jun 15, 2015 at 09:35:47AM +1000, Bruce Kellett wrote:
> LizR wrote:
> >On 15 June 2015 at 10:41, Russell Standish <li...@hpcoders.com.au
> ><mailto:li...@hpcoders.com.au>> wrote:
> >
> >    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.
> >
> >That isn't surprising, of course - but I assume Brent wasn't being
> >quite /that/ disingenuous. What is surprising (if anything at all
> >is) is that our world is amenable to description by maths.
> 
> That isn't particularly surprising either. The anthropic answer is
> that if there weren't such regularities, we wouldn't be here to ask
> questions about them.
> 
> This answer has force if you assume some form of plenum --
> everything that can exist does exist in some universe. It also
> follows from some more recent speculative cosmological and string
> landscape ideas. But these ideas really do not require that
> mathematics, per se, be at the basis of anything.
> 
> Whether an anthropic answer will satisfy everyone is, however,
> another question....
> 

It is plausible that regularities are a required feature of conscious
existence, of course, but it does smack of a post-hoc justification.

At this stage, it's no worse than assuming meaning generation is a
necessary feature of existence, and that this can only take place by
compression of regularities, which is the Solomonoff type answer...

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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