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Sorry, can't do scarves.
(sopuli.xyz)
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What would be a "nearly impossible" task in this post-AI world? Short of the provably impossible tasks like the busy beaver problem (and even then, you would be able to make an algorithm that covers a subset of the problem space), I really can't think of anything.
Reliability. We can do pretty much anything... with a 5% success rate. Deep learning can take any input, approximate any function and generate the required output, but it's only as good as the training set and most of them suck. Or it needs to be so large and complex that it's not fast enough.
I think 100% autonomous robotics and driving is still at least 5-10 years away even with large research teams working on it. I mean truly robust AI which is able to handle any situation you could throw at it with zero intervention needed.