Logic For Mathematicians

Several theories consider the brain to be a network of neurons that process perception with simple activation functions. Real neurons, however, are far more intricate.Through reviews of literature and results from original experiments, Neural Cell Behavior and Fuzzy Logic offers a comprehensive look at these complex systems, supplying trustworthy evidence that neurons can predict the consequences of input signals and transiently change their own excitability to suit. The book also examines how fuzzy logic, the computing of perceptions, can be used to provide a theoretical description of real neuron behavior, and as a model for the "logic" the brain uses to describe environments and make decisions. This book includes sections for general and advanced readers, and will be particularly useful to neuroscience students, academics and researchers as well as to mathematicians and theoretical physicists.

Arising from a special session held at the 2010 North American Annual Meeting of the Association for Symbolic Logic, this volume is an international cross-disciplinary collaboration with contributions from leading experts exploring connections across their respective fields.