On 12/10/2015 10:27 PM, Dan wrote:
If we could harness the undecidability of the spectral gap to
implement infinite real weights for Hava Siegelmann's analog recurrent
neural network model,
How does uncomputability of an energy gap have anything to do with
unbounded values for connection weights?
Brent
then I suppose we could in theory achieve hypercomputation. This would
have many incredible consequences. We wouldn't be able to develop an
algorithm to reproduce consciousness, but perhaps by trying all
possibilities (perhaps guided by intuition, as Goertzel suggests) we
might then actually stumble upon a conscious being. Maybe our brains
are analog recurrent neural networks that exploit this undecidability
of the spectral gap...
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