On 16.08.2011 20:47 meekerdb said the following:
On 8/16/2011 11:03 AM, Evgenii Rudnyi wrote:
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.
I have to repeat that the current simulation technology just does
not scale. With it even God will not help. The only way that I
could imagine is that God's Turing machine is based on completely
different simulation technology (this however means that our
current knowledge of physical laws and/or numerics is wrong).
Scale doesn't matter at the level of theoretical possibility. Bruno's
UD is the most inefficient possible way to compute this universe -
but he only cares that it's possible. All universal Turing machines
are equivalent so it doesn't matter what God's is based on. Maybe you
just mean the world is not computable in the sense that it is
nomologically impossible to compute it faster than just letting it
I understand what you say. On the other hand however, it is still good
to look at the current level of simulation technology, especially when
people make predictions on what happens in the future (in other messages
the possibility of brain simulation and talk about physico-chemical
From such a viewpoint, even a level of one-cell simulation is not
reachable in the foreseeable future. Hence, in my view, after the
discussion about theoretical limits it would be good to look at the
reality. It might probably help to think the assumptions over.
I would say that it is small practical things that force us to
reconsider our conceptions.
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