On Mon, Aug 15, 2011 at 1:17 PM, Evgenii Rudnyi <use...@rudnyi.ru> wrote:

> On 15.08.2011 07:56 Jason Resch said the following:
> ...
>  Can we accurately simulate physical laws or can't we?  Before you
>> answer, take a few minutes to watch this amazing video, which
>> simulates the distribution of mass throughout the universe on the
>> largest scales: 
>> http://www.youtube.com/watch?**v=W35SYkfdGtw<http://www.youtube.com/watch?v=W35SYkfdGtw>(Note
>>  each
>> point of light represents a galaxy, not a star)
> The answer on your question depends on what you mean by accurately and what
> by physical laws. I am working with finite elements (more specifically with
> ANSYS Multiphysics) and I can tell for sure that if you speak of simulation
> of the universe, then the current simulation technology does not scale.
> Nowadays one could solve a linear system reaching dimension of 1 billion but
> this will not help you. I would say that either contemporary numerical
> methods are deadly wrong, or simulated equations are not the right ones. In
> this respect, you may want to look how simulation is done for example in
> Second Life.
> Well, today numerical simulation is a good business (computer-aided
> engineering is about a billion per year) and it continues to grow. Yet, if
> you look in detail, then there are some areas when it could be employed
> nicely and some where it better to forget about simulation.
> I understand that you speak "in principle".

Yes, this is why in my first post, I said consider God's Turing machine
(free from our limitations).  Then it is obvious that with the appropriate
tape, a physical system can be approximated to any desired level of accuracy
so long as it is predictable.  Colin said such models of physics or
chemistry are impossible, so I hope he elaborates on what makes these
systems unpredictable.

> Yet, I am not sure if extrapolation too far away from the current knowledge
> makes sense, as eventually we are coming to "philosophical controversies".
We're already simulating peices of brain tissue on the order of fruit fly
brains (10,000 neurons).  Computers double in power/price every year, so 6
years later we could simulate mouse brains, another 6 we can simulate cat
brains, and in another 6 we can simulate human brains. (By 2030)

But all of this is an aside from point that I was making regarding the power
and versatility of Turing machines.  Those who think Artificial Intelligence
is not possible with computers must show what about the brain is
unpredictable or unmodelable.


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