Goal functions for the development of natural systems

We discuss different ‘evolution aims’ or ‘goal functions’ obtained in different fields of modeling ‘real’ nature, especially in ecology and physics. Furthermore we argue that the infinite complexity of nature as a whole demands also a model with infinite complexity. The only candidates with this property which are known up to now are the so called class IV cellular automata. In these models evolution is open, i.e. there exists no goal function which can determine the longtime behavior. It follows that it seems impossible to ever find a universal goal function for the development in nature.