Minds, machines, and mathematics

Psyche 2:11-20 (1996)
Abstract
In his stimulating book SHADOWS OF THE MIND, Roger Penrose presents arguments, based on Gödel's theorem, for the conclusion that human thought is uncomputable. There are actually two separate arguments in Penrose's book. The second has been widely ignored, but seems to me to be much more interesting and novel than the first. I will address both forms of the argument in some detail. Toward the end, I will also comment on Penrose's proposals for a "new science of consciousness".
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Remarks on Penrose's New Argument.Per Lindstrom - 2006 - Journal of Philosophical Logic 35 (3):231-237.

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