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We don't need the entire Lucas arithmetic
OpposingArgument
1
#1124
A mentalist doesn't have to produce all of the Lucas arithmetic. It's sufficient that he produce enough of the Lucas arithmetic to answer the mechanist at a given step of the game.
The success of the Lucas argument must be evaluated in the context of a particular machine being challenged by particular mentalist.
John Lucas (1970).
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
▲
Argument from Gödel's theorem is dialectical »
Argument from Gödel's theorem is dialectical
Argument from Gödel's theorem is dialectical☜A mechanist presents Lucas with a machine model of Lucass mind. Lucas shows that he can recognise the truth of the machines Gödel sentence—whereas the machine cant. In this way, Lucas can defeat any mechanist attempts to reduce him to a machine.☜98CE71
▲
Lucas needs to produce entire Lucas arithmetic »
Lucas needs to produce entire Lucas arithmetic
Lucas needs to produce entire Lucas arithmetic☜Lucass argument requires a person be able to produce the whole of Lucass arithmetic, which includes all of the Gödel sentences of all formal systems powerful enough to produce arithmetic. But Lucas hasnt shown this ability is possible for humans.☜EF597B
■
We don't need the entire Lucas arithmetic
We don't need the entire Lucas arithmetic☜A mentalist doesnt have to produce all of the Lucas arithmetic. Its sufficient that he produce enough of the Lucas arithmetic to answer the mechanist at a given step of the game.☜EF597B
◄
John Lucas »
John Lucas
John Lucas☜Arguments advanced by John Lucas.☜FFFACD
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Entered by:-
David Price
NodeID:
#1124
Node type:
OpposingArgument
Entry date (GMT):
8/30/2006 1:47:00 PM
Last edit date (GMT):
8/30/2006 1:47:00 PM
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