In this chapter fundamental problems of collaborative computational intelligence are discussed. The problems are distilled from the seminal research of Alan Turing and John von Neumann. For Turing the creation of machines with human-like intelligence was only a question of programming time. In his research he identified the most relevant problems concerning evolutionary computation, learning, and structure of an artificial brain. Many problems are still unsolved, especially efficient higher learning methods which Turing called initiative. Von Neumann was more cautious. He doubted that human-like intelligent behavior could be described unambiguously in finite time and finite space. Von Neumann focused on self-reproducing automata to create m...