It's really funny that something as simple is impossible to predict over longer times, because you would need perfect information. Yet climate science is 'settled'.
Suppose you know the exact initial state (dx/dt, x) of the pendulum.
What bounds on K and T are required such that the sequence of numbers is asymptotically indistinguishable from a purely random sequence?
So, because of a silly thought experiment, one might think there is very simple order to the apparent randomness. But, as Pauli would say, "it's not even wrong"...