Design an AI capable of making moral decisions and judgements based on inferences about its surroundings and the perceived effects on humans.
Create an alogrithm to solve a P-NP algorithm in tractable time -- there's a 7 million dollar prize for anyone who can (and probably a Turing award)..
http://www.claymath.org/millennium/
I doubt those problems are below you.
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"I'm typing on a computer of science, which is being sent by science wires to a little science server where you can access it. I'm not typing on a computer of philosophy or religion or whatever other thing you think can be used to understand the universe because they're a poor substitute in the role of understanding the universe which exists independent from ourselves." - Willravel
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