Gödelian insight is a slippery character

The Gödelian insight can attach itself to any system that has been algorithmically specified, including an algorithmic specification of the Gödelization procedure.

Roger Penrose (1990).
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Artificial Intelligence
Are thinking computers mathematically possible? [7]
No: computers are limited by Gödel's theorems
Improved machines
The Gödelian insight has already been formalised
Gödelization procedure algorithmically specifiable
Gödelian insight is a slippery character
Roger Penrose
Proof has been formalised into a program
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