On 8/2/2011 2:38 PM, meekerdb wrote:
On 8/2/2011 11:06 AM, Stephen P. King wrote:
Hi,
There is a difference between intractability and non-computable.
See Stephen Wolfram's article on this:
http://www.stephenwolfram.com/publications/articles/physics/85-undecidability/2/text.html
The point is that there is a point where the best possible model
or computational simulation of a system is the system itself. The
fact that it is impossible to create a model of a weather system that
can predict *all* of its future behavior does not equal to a proof
that one cannot create an approximately accurate model of a weather
system. One has to trade off accuracy for feasibility. Arbitrarily
accurate models of systems require a quantity of computational
resources to run that increases exponentially with the number of
variables of the system.
But only up to the point where the number is the same as the number in
the system being modeled.
Brent
--
Hi Brent,
There is something 'off' in what I wrote and I think that you see
it. Please elaborate.
Onward!
Stephen
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