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Inductive machines immune to Gödelization
SupportiveArgument
1
#1094
Inductive thinking, which humans can do, would allow computers to understand their own Gödel sentences.
Argument anticipated by John Lucas (1961).
CONTEXT
(Help)
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Artificial Intelligence »
Artificial Intelligence
Artificial Intelligence☜A collaboratively editable version of Robert Horns brilliant and pioneering debate map Can Computers Think?—exploring 50 years of philosophical argument about the possibility of computer thought.☜F1CEB7
▲
Are thinking computers mathematically possible? [7] »
Are thinking computers mathematically possible? [7]
Are thinking computers mathematically possible? [7]☜Is it mathematically possible for a computer to think as well as a human can? Does the mathematics of computation contain anything to prohibit machines from thinking?☜FFB597
▲
No: computers are limited by Gödel's theorems »
No: computers are limited by Gödel's theorems
No: computers are limited by Gödel's theorems☜Gödels theorem proves that a computer cant in principle operate with human understanding (see detailed text). Gödels incompleteness theorems are the Achilles heel of mechanism. John Lucas (1961).☜59C6EF
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Improved machines »
Improved machines
Improved machines☜A beefed-up machine can recognise the truth of the Gödel sentence. Such a machine defeats Lucass argument, because it shows that a formal system can evade Lucass Gödelizing ability.☜EF597B
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Inductive machines immune to Gödelization
Inductive machines immune to Gödelization☜Inductive thinking, which humans can do, would allow computers to understand their own Gödel sentences.☜98CE71
●
Self programming inductive machines »
Self programming inductive machines
Self programming inductive machines☜Self-programming inductive machines have enough creativity to recognise the truth of Gödel sentences—and to beat the Lucas argument.☜98CE71
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Some AI systems are inductive and probabilistic »
Some AI systems are inductive and probabilistic
Some AI systems are inductive and probabilistic☜The Gödel argument correctly shows that there are limits on deductive machines. But, artificial intelligence deals with inductive and probabilistic mechanisms that Gödel theorem does not apply to.☜98CE71
●
A dilemma about inductive machines »
A dilemma about inductive machines
A dilemma about inductive machines☜Seeking to avoid the Gödelization problem by making inductive machines results in a dilemma (see detailed text). An inductive machine isnt an adequate model of the mind.☜EF597B
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Entered by:-
David Price
NodeID:
#1094
Node type:
SupportiveArgument
Entry date (GMT):
8/29/2006 8:01:00 PM
Last edit date (GMT):
10/23/2007 1:03:00 PM
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