## Brains, machines, and mathematics |

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### Contents

Neura1 Nets Finite Automata and Turing Machines | 1 |

Structure and Randomness | 31 |

The Correction of Errors in Communication | 51 |

Copyright | |

### Common terms and phrases

A D B afferents arithmetical logic automata axioms axon behavior brain called capacity coding components connected consider consistent construction Cowan-Winograd cybernetics decoder define Definition dendrites digits discussion effective enumeration effective procedure effectors elements emit encoder entropy error event example excitation exists an effective feedback Figure finite automaton finite number firing frog ganglion cells given Godel's Incompleteness Theorem Godel's theorem halting problem Hence impulses inner plexiform layer integers logic unit mathematical McCulloch-Pitts modular network module natural numbers nervous system Neumann neural obtained operation output pattern perceptron Perceptron group predicate problem proof prove reader realizable received receptive field receptors recursive logic recursive set recursively enumerable set redundancy reliable response result retina rules of inference sensory units servomechanism Shannon's Sheffer stroke signal stimuli structure symbol synapse tape Th(L theory threshold tion transmission transmitted true Turing machine variable visual system wff's word