4. Cellular Automata and Fractal Evolution

4. A. The Paradox of Self-Replicating Machines

In the 1940s John von Neumann became interested in synthesizing artificial living creatures. In particular, he was interested in this question

The core of the problem was the notion that a machine must be given complete instructions for every action. So how is a machine to reproduce itself?

Here is the original problem, by some viewed as a barrier separating us from machines.
Here is von Neumann's solution, anticipating the mechanism by which DNA replicates itself.
Here is a hint of some recent developments in the ideas of machine reproduction and evolution.