Complex systems, Chaos and ecosystem: the defiance to reductionism

I presented this in a meeting and got some good questions:

Are chaotic systems calculable?

yes, if you have extremely accuracy of the initial condition. There're two way to address this: 1. we continue to quest for higher precision. 2. we accept this difficulty and give up for precise prediction/computation

In addition, someone mentioned Kolmogorov–Arnold–Moser about the persistence of quasiperiodic motions under small perturbations, which can be seen as a special case when computation is desirable.