Neither the Halting Problem nor Goedel's incompleteness theorem say that
there will always be new things to discover? Could you elaborate on
that? Being unable to predict/proof things within system A does not say
anything about whether you can actually discover new stuff ad infinitum?
Just because I can not disproof the existence of God or turtles carrying
the cosmos on their shoulders does not mean that I will discover
anything? If we are living in a perfect simulation the system will not
allow you to find out anything about the entity running those
simulations for example. If you can not access anything outside of your
framework than you will have a hard time discovering new things and
Goedel's theorem will still hold true.
On 03/14/2013 01:52 PM, Russell Wallace wrote:
The answer turns out to be no, not as a matter of opinion, but as a
matter of mathematical proof: check out Godel's theorem, the Halting
Problem etc. No matter how much you know, there will always be new
discoveries to make.
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AGI
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