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This introduction describes contemporary investigations and interpretations of Kauffman networks, especially in the context of the ‘life on the edge of chaos’ hypothesis. The Kauffman networks are known as Boolean networks. They were introduced by Kauffman (1969), and later investigated and developed by many authors. These networks take various forms, e.g. cellular automata which stress the spatial order of their nearest neighbours as connection pattern. I will not consider such specific forms. Generally, this approach for the description of living systems, or a system designed by humans, using dynamical directed networks is now one of the most attractive and promising tools. His ‘The Origins of Order’ (Kauffman, 1993) is a large summary of first period Boolean network investigations and a base for the usually agreed on ‘life on the edge of chaos’ hypothesis. Later this hypothesis was ‘experimentally verified’ using the Gene Regulatory Network model (Ramo et al., 2006; Serra et al., 2004; 2007; Shmulevich et al., 2005; Wagner, 2001) but in this paper I call into question this verification. My explanation is based on an interpretation where stability and chaos play the main role. This introduction is designed as a description of Kauffman networks and their variants and extensions, in order to make my arguments comprehensible. No previous knowledge about the Kauffman network is assumed.

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