On Sun, Mar 11, 2018 at 01:24:19PM +1100, Bruce Kellett wrote:
> From: *Russell Standish* <[email protected]
> <mailto:[email protected]>>
> > 
> > On Sun, Mar 11, 2018 at 10:17:01AM +1100, Bruce Kellett wrote:
> > >
> > > My feeling is that we observe that the world has certain symmetries,
> > then we
> > > design our theories to reflect these symmetries, because theories that
> > > incorporate the observed symmetries work better. Since the starting
> > point is
> > > observation, we have some prospect of learning something other than the
> > > nature of our thought processes.
> > >
> > > Bruce
> > 
> > My claim is that there are always symmetric theories. Assuming some
> > horrible
> > non-symmetric world, we can make a symmetric theory by a suitable
> > transformation of variables - in rather the same way we can see a
> > computation in a rock by a suitable transformation of variables.
> 
> I think that in general it requires a little more than just a transformation
> of variables. If we fail to see rotational symmetry in the world around us
> (same laws in all directions), then we would have to postulate some oriented
> field, or some interaction that depended on position and/or direction. To do
> it by a transformation of variables you would require the variables
> themselves to reflect this non-symmetric field.
> 
> 
> > What do you say to the proposition that evolution might have equipped
> > us with the facility to see those symmetries "intuitively", since it
> > makes computing things about the world easier?
> 
> I don't think that actually changes anything -- what that means is that
> those symmetries existed in the world, and evolution took place in the
> context of those symmetries. So it is anything but an arbitrary imposition
> by our minds on a non-symmetric world.

Of course - I never claimed that. Just that the symmetries observed
tell us more about what we've evolved to see in our environment
rather than an intrinsic property of the environment. 


-- 

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Dr Russell Standish                    Phone 0425 253119 (mobile)
Principal, High Performance Coders
Visiting Senior Research Fellow        [email protected]
Economics, Kingston University         http://www.hpcoders.com.au
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