The concept of recursivity, from the first cybernetics to connectionism

In the first cybernetics (McCulloch) and the second one (Ashby and von Foerster) as well recursivity was supposed to be a central concepts. But in both theories, the power of recursive functions (to find the code of the program which computes a function that depends on this very same code) as well as the troubles raised by non recursively enumerable functions have been overlooked. A similar position can be found in some theories related to the connectionism of the eighties, that have also been pretended to take place beyond the real power of recursivity.

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