Intended for a broad audience, Neural Networks and Intellect reviews most of the mathematical concepts and engineering approaches to the development of intelligent systems discussed since 1940. It presents a new mathematical concept of modeling field theory and its applications to a variety of problems along with relationships between mathematics, computational concepts in neural networks, and concepts of mind in psychology and philosophy. The origin of the Aristotelian mathematics of mind is traced in Grossberg's ART neural network: and its essential components turns out to be fuzzy logic. Among the discussed topics are hierarchical and heterarchical organization of intelligent systems, statistical learning theory, genetic algorithms, complex adaptive systems, mathematical semiotics, dynamical nature of symbols, Godel theorems of intelligence, emotions and thinking, the mathematics of emotional intellect, and consicousness.