3 ms·
good points. more on the subject: http://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems#Minds_and_machines http://en.wikipedia.org/wiki/G%C3%B6de
by schtog 18y ago
good points. more on the subject:
http://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems#Minds_and_machines http://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_t...
Minds and machines
Main article: Mechanism (philosophy)#Gödelian arguments
Authors including J. R. Lucas have debated what, if anything, Gödel's incompleteness theorems imply about human intelligence. Much of the debate centers on whether the human mind is equivalent to a Turing machine, or by the Church-Turing thesis, any finite machine at all. If it is, and if the machine is consistent, then Gödel's incompleteness theorems would apply to it.
Hilary Putnam (1960) suggested that while Gödel's theorems cannot be applied to humans, since they make mistakes and are therefore inconsistent, it may be applied to the human faculty of science or mathematics in general. If we are to believe that it is consistent, then either we cannot prove its consistency, or it cannot be represented by a Turing machine.
http://en.wikipedia.org/wiki/Mechanism_%28philosophy%29#G.C3.B6delian_arguments http://en.wikipedia.org/wiki/Mechanism_%28philosophy%29#G.C3...