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Forum index » Archive » Archive: Chasing the Wish » CTW: General/Updates

Shadows of the Mind by Roger Penrose

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MageSteff
Pretty talky there aintcha, Talky?

Joined: 06 Jun 2003
Posts: 2716
Location: State of Denial

Shadows of the Mind by Roger Penrose

Quote:

[size=huge]Can Humans Escape G�del?[/size]

1. G�del's Theorem And The Mind
1.1 In the first part of Shadows of the Mind, Penrose gives an argument that human reasoning must go beyond what is computable. Therefore, no computer program can ever hope to be as intelligent as a human being. Penrose doesn't give a direct argument for his thesis. He doesn't for instance, show that there is some task that humans can perform which no computer can. (Although he suggests without offering a proof that certain kinds of geometric visualization may allow us to deduce facts in an inherently noncomputable way.) Instead, Penrose uses an indirect proof-he assumes that there exists a computer program that is every bit as intelligent as a human, and shows that that leads to a contradiction.

http://psyche.cs.monash.edu.au/v2/psyche-2-04-mccullough.html

_________________
Magesteff
A small group of thoughtful people could change the world. Indeed, it's the only thing that ever has. - Margaret Mead

Posted: Mon Jul 14, 2003 2:32 am

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