>in principle, be simulated on a computer to arbitrary precision. However, for any finite precision, the simulation is valid for only a finite time -- and the

>in principle, be simulated on a computer to arbitrary precision. However, for any finite precision, the simulation is valid for only a finite time -- and the precision required to guarantee a certain accuracy for a given time increases exponentially: http://en.wikipedia.org/wiki/Lyapunov_time http://en.wikipedia.org/wiki/Lyapunov_time That means that finite-memory simulations are limited even in principle (even for a computer whose memory is as large as the Universe, there is a rather short limit on prediction!)