Maybe some needs to gently point out to the author that Person of interest et al are science fiction and true AI is as far off as Star trek's warp drive and Stargate's worm holes.
Any physical system can be simulated/approximated given enough computational resources. The brain is purely physical and is the sole cause of mind.
AGI is inevitable outcome of some bulk of matter being designed to solve novel problems efficiently.
I honestly couldn't imagine a future that wouldn't contain these beings.
And if you think POIs throwaway line in season 1 oh Shannon's law I found a way round that isn't as out there as warp drive you need to have a think.
I'm not really interested in what some random tv show has to say about AGI. Why would that be relevant?