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This booklet is an essay at the interface of philosophy and complexity research, trying to inspire the reader with new ideas and new conceptual developments of cellular automata.  Going beyond the numerical experiments of Steven Wolfram, it is argued that cellular automata must be considered complex dynamical systems in their own right, requiring appropriate analytical models in order to find precise answers and predictions in the universe of cellular automata.  Indeed, eventually we have to ask whether cellular automata can be considered models of the real world and, conversely, whether there are limits to our modern approach of attributing the world, and the universe for that matter, essentially a digital reality.

Cellular automata -- Mathematical models. --- Cellular automata -- Research. --- Cellular automata. --- Complexity (Philosophy) --- Science --- Physics --- Mathematics --- Philosophy & Religion --- Physical Sciences & Mathematics --- Philosophy --- Sciences - General --- Algebra --- Atomic Physics --- Physics. --- Computers. --- Artificial intelligence. --- Neurobiology. --- Statistical physics. --- Dynamical systems. --- Complexity, Computational. --- Statistical Physics, Dynamical Systems and Complexity. --- Artificial Intelligence (incl. Robotics). --- Complexity. --- Theory of Computation. --- Complexity, Computational --- Electronic data processing --- Machine theory --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Mathematical statistics --- Neurosciences --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Logic machines --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Calculators --- Cyberspace --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Statistical methods --- Emergence (Philosophy) --- Engineering. --- Information theory. --- Complex Systems. --- Artificial Intelligence. --- Statistical Physics and Dynamical Systems. --- Communication theory --- Communication --- Construction --- Industrial arts --- Technology --- Computational complexity. --- Science - Philosophy

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This penultimate volume contains numerous original, elegant, and surprising results in 1-dimensional cellular automata. Perhaps the most exciting, if not shocking, new result is the discovery that only 82 local rules, out of 256, suffice to predict the time evolution of any of the remaining 174 local rules from an arbitrary initial bit-string configuration. This is contrary to the well-known folklore that 256 local rules are necessary, leading to the new concept of quasi-global equivalence . Another surprising result is the introduction of a simple, yet explicit, infinite bit string called the

Cellular automata. --- Computational complexity. --- Dynamics. --- Nonlinear theories. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Complexity, Computational --- Electronic data processing --- Machine theory --- Computers, Iterative circuit --- Iterative circuit computers --- Structures, Tessellation (Automata) --- Tessellation structures (Automata) --- Parallel processing (Electronic computers) --- Pattern recognition systems --- Sequential machine theory --- Wolfram, Stephen. --- Wolfram, Stephen,

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Statistical physics --- Physiology of nerves and sense organs --- Computer science --- Artificial intelligence. Robotics. Simulation. Graphics --- toegepaste informatica --- theoretische fysica --- informatica --- neurobiologie --- robots

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Electric networks, Nonlinear --- Nonlinear theories --- Réseaux électriques non linéaires --- Théories non linéaires

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This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. A surprisingly useful interpretations of cellular automata in terms of neural networks is also given. The book provides a scientifically sound and original analysis, and classifications of the empirical results presented in Wolfram's monumental "New Kind of Science."

Cellular automata. --- Computational complexity. --- Dynamics. --- Nonlinear theories. --- Wolfram, Stephen, --- Wolfram, Stephen.