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Grande Pequeño Mente Humana by Roger Penrose, Softcover
Roger Penrose's original and provocative ideas about the large-scale physics of the Universe, the small-scale world of quantum physics and the physics of the mind have been the subject of controversy and discussion. In this book, he summarises and brings up to date his current thinking in these complex areas. He presents a masterful summary of those areas of physics in which he feels there are major unsolved problems. Through this, he introduces radically new concepts which he believes will be fruitful in understanding the workings of the brain and the nature of the human mind. These ideas are then challenged by three distinguished experts from different backgrounds - Abner Shimony and Nancy Cartwright as Philosophers of Science and Stephen Hawking as a Theoretical Physicist and Cosmologist. Finally, Roger Penrose responds to their thought-provoking criticisms. This volume provides an accessible, illuminating and stimulating introduction to Roger Penrose's vision of theoretical physics for the 21st Century.
ISBN 13: 9788446025634
Further to that, for any consistent formal theory that proves certain basic arithmetic truths, there is an arithmetical statement that is true, but not provable in the theory. He takes this disparity to mean that human mathematicians are not describable as formal proof systems and are not running an algorithm, so that the computational theory of mind is false, and computational approaches to artificial general intelligence are unfounded. An earlier version of the argument was given by J. Lucas in Penrose's theory of Objective Reduction predicts the relationship between quantum mechanics and general relativity. Penrose proposes that a quantum state remains in superposition until the difference in space-time curvature reaches a significant level.