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Considers neurons, neural networks and neural fields from the viewpoint of abstract automata. Introduces Abstract neural automata (ANA) to explain and to provide a mathematical description of neural functions and theory. Surveys some current literature including that concerned with Boltzmann machines and the author’s own view of an associative Boltzmann neural model. Provides definitions and theorems to support the author’s theses on cognition, the human brain and the role of ANA in the understanding of neural networks.

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