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This paper introduces the "Unpredictability Axiom", which states that an acceptable network model must be able to function with V-V interactions generated by a random number generator. Several models by other authors are critically reviewed.Possible symmetric two-variable virgin states are analysed, and it is concluded that the virgin state of the symmetric network theory is unique. An old question has been the problem of wedding complexity to stability, and this is addressed by analyzing an N variable generalization of the model equations for the virgin state. In contrast to linear systems, in which increasing complexity led to a decreasing probability of stability, this non-linear system is characterized by an increase in the probability of stability with increasing complexity.