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Gödel refutes the philosophy of mechanism
Επιχ.Εναντίωσης
1
#1181
The existence of statements that are undecidable by formal systems—eg Gödel’s theorem—shows that mechanism can't provide a complete explanation of mathematical nature. So mechanism must be rejected as a universal theory of science.
Note
:
Other Gödelian arguments against mechanism are spread throughout this map. See especially the "
Is the Lucas argument dialectical?"
arguments on this map.
Λεπτομέρειες πλοηγού
(Βοήθεια)
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Artificial Intelligence »
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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
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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
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Yes: Automata can think »
Yes: Automata can think
Yes: Automata can think☜A finite automation, like a Turing machine, can replicate all essential aspects of human intelligence. Finite automata are completely mathematically possible. Thus, machine thinking is mathematically possible.☜59C6EF
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Natural phenomena best understood via mechanism »
Natural phenomena best understood via mechanism
Natural phenomena best understood via mechanism☜The human mind like all natural systems is mechanical. Mechanical explanations—like those employed in physics—provide the only necessary foundation to the rest of the sciences, including psychology.☜98CE71
■
Gödel refutes the philosophy of mechanism
Gödel refutes the philosophy of mechanism☜The existence of statements that are undecidable by formal systems—eg Gödel’s theorem—shows that mechanism cant provide a complete explanation of mathematical nature. So mechanism must be rejected as a universal theory of science.☜EF597B
●
Gödel doesn't solve constructivity problem »
Gödel doesn't solve constructivity problem
Gödel doesn't solve constructivity problem☜If Gödel’s theorem really refuse mechanism, it will also show how to solve the constructivity problem in the foundations of mathematics. But Gödels theorem does not how to solve that problem.☜EF597B
●
Strong mechanism refuted: weak mechanism safe »
Strong mechanism refuted: weak mechanism safe
Strong mechanism refuted: weak mechanism safe☜Strong mechanism either contains mentalistic concepts—in its explanatory apparatus—or is inconsistent with Gödel’s theorem. Weak mechanism doesnt contain mentalistic concepts and can be shown to be consistent with Gödel’s theorem.☜EF597B
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Προστέθηκε από:-
David Price
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#1181
Node type:
OpposingArgument
Ημερ/νία δημιουργίας(GMT):
9/1/2006 9:11:00 PM
Ημερ/νία τελευτ. επεξεργασίας(GMT time):
12/8/2007 7:07:00 PM
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