Abstract
A fundamental issue in the implementation of symbol-manipulation with neural networks is the unlimited productivity of symbol-production systems. Because each realistic neural network is a finite-state system [1], unlimited productivity cannot be implemented with neural networks. Therefore, the only symbol-production which seems possible with neural networks is the production of a regular (finite-state) language. This has serious consequences for the generation of cognitive behaviour with neural networks, in particular natural language processing, which requires the productivity of non-regular production systems [2]. If it is not possible to implement such production systems in neural networks, neural network theory will remain on the level of behaviourism.
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