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From the Publisher: In The Emporer's New Mind, eminent physicist Roger Penrose argues that there are facets of human thinking, of human imagination, that can never be emulated by a machine. Exploring a dazzling array of topics--complex numbers, black holes, entropy, quasicrystals, the structure of the brain, and the physical processes of consciousness--Penrose demonstrates that laws even more wondrously complex than those of quantum mechanics are essential for the operation of a mind.
Penrose et al. (Fri,) studied this question.