Brains, Machines, and Mathematics |
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१ १ a₁ afferents arithmetical logic automata axioms axon behavior brain called capacity channel coding components connected consider consistent construction Cowan-Winograd cybernetics decoder define Definition dendrites discussion effective procedure effectors elements emit encoder entropy error event example excitation feedback Figure finite automaton finite number firing frequency frog ganglion cells given Gödel's Incompleteness Theorem Gödel's theorem halting problem Hence impulses inner plexiform layer integers log2 logic unit m₁ mathematical McCulloch-Pitts modular network module natural numbers nervous system Neumann neural noisy obtained operation output pattern perceptron Perceptron group predicate problem proof prove reader realize 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 transmission transmitted true Turing machine variable visual system w-consistent wff's word