Shane Legg wrote:

Thus I think that the analogue of Gödel's theorem here would be
something more like:  For any formal definition of intelligence
there will exist a form of intelligence that cannot be proven to be
intelligent even though it is intelligent.

With unlimited computing power this is obvious. Take a computation that halts if it finds an even number that is not the sum of two primes. Append AIXItl. QED.

--
Eliezer S. Yudkowsky                          http://singinst.org/
Research Fellow, Singularity Institute for Artificial Intelligence

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