Penrose's Gödelian Argument A Review of Shadows of the Mind by Roger Penrose [Book Review]

PSYCHE: An Interdisciplinary Journal of Research On Consciousness 2:21-32 (1995)
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Abstract

In his book Shadows of the Mind: A search for the missing science of con- sciousness [SM below], Roger Penrose has turned in another bravura perfor- mance, the kind we have come to expect ever since The Emperor’s New Mind [ENM ] appeared. In the service of advancing his deep convictions and daring conjectures about the nature of human thought and consciousness, Penrose has once more drawn a wide swath through such topics as logic, computa- tion, artificial intelligence, quantum physics and the neuro-physiology of the brain, and has produced along the way many gems of exposition of difficult mathematical and scientific ideas, without condescension, yet which should be broadly appealing. 1 While the aims and a number of the topics in SM are the same as in ENM, the focus now is much more on the two axes that Pen- rose grinds in earnest. Namely, in the first part of SM he argues anew and at great length against computational models of the mind and more specifi- cally against any account of mathematical thought in computational terms. Then in the second part, he argues that there must be a scientific account of consciousness but that will require a (still to be found) non-computational extension or modification of present-day quantum physics.

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Citations of this work

Mechanism, truth, and Penrose's new argument.Stewart Shapiro - 2003 - Journal of Philosophical Logic 32 (1):19-42.
On understanding understanding.Roger Penrose - 1997 - International Studies in the Philosophy of Science 11 (1):7 – 20.
The Resilience of Computationalism.Gualtiero Piccinini - 2010 - Philosophy of Science 77 (5):852-861.

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References found in this work

Systems of logic based on ordinals..Alan Turing - 1939 - London,: Printed by C.F. Hodgson & son.
Introduction to Metamathematics.H. Rasiowa - 1954 - Journal of Symbolic Logic 19 (3):215-216.
The incompleteness theorems.Craig Smorynski - 1977 - In Jon Barwise (ed.), Handbook of Mathematical Logic. North-Holland. pp. 821 -- 865.

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