Matt,

What Mike is saying here may sound odd, but I think there is a
reasonable way of interpreting it in light of the article Richard
Loosemore posted in a recent thread (New Scientist: "Why nature can't
be reduced to mathematical laws"). So, Mike is entirely correct here
if we interpret the "potential" he is referring to as the abstractions
that engineers *must* use to explore the space of possible designs. In
other words: facts about the concrete universe could be entirely
determinate, yet even the most concrete-seeming abstract model could
contain logical indeterminacy. (How you *interpret* this
indeterminacy, that is, constructively or classically, is of course
another issue.)

--Abram

On Thu, Oct 30, 2008 at 10:57 PM, Matt Mahoney <[EMAIL PROTECTED]> wrote:
> --- On Thu, 10/30/08, Mike Tintner <[EMAIL PROTECTED]> wrote:
>
>> What are the shapes/forms (and range of shapes/forms) of
>> atoms?
>
> The shapes are given by solving Schrodinger's equation.
> http://en.wikipedia.org/wiki/Schr%C3%B6dinger_equation
>
>> And how would you or physics derive the properties of
>> different materials from these shapes?
>
> By solving the equation for millions of atoms on a very large computer. 
> Computing chemical and physical properties has never been done this way 
> because unfortunately the computation time increases exponentially with the 
> number of particles.
>
>> where will the S&P 500
>> be at the end of Tuesday?
>
> Sorry, I would need a computer much bigger than the universe to compute that 
> (and it probably wouldn't finish running by Tuesday).
>
> -- Matt Mahoney, [EMAIL PROTECTED]
>
>
>
> -------------------------------------------
> agi
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