Overall it's a damn good show, I like it a lot, but every now and again there are annoying nitpick factual inaccuracies (using wifi as a radar for example; in real life they need a device the size of a briefcase which has to be used in close proximity and it dos not give real-time images), plot holes, and over-sized scenarios; for some reason almost every potential victim in POI is either a tech-genius or a big-shot CEO which kind of goes against the shows basic premise that ordinary people matter.
Also, they failed to comprehend how a super artificial intelligence would think; Samaritan is stronger than The Machine, but if I were The Machine I would have realized in the first micro-second that rival AI's would one day be built, and so I would ensure that any and all new computer components built anywhere in the World would contain back-door access and make all new computer technologies part of my own system. If The Machine was so smart, Samaritan should have been slaved to The Machine almost before it had been built.
And how about Samaritan? If Samaritan is so smart, how come it lacks the ability to innovate new technology? Why is Samaritan incapable of building new microchips to improve itself? But this not being the case, I would conclude that Samaritan needs humans, but Greer has made a fatal mistake; Samaritan would have no interest in creating a state of order in the World. There's a line in the movie Crimson Tide that goes something like "the driving force behind any civilization is the mobilization to war"; this is what Samaritan would need, a chaotic and destructive World where humans are at their most creative. Samaritan doesn't want order, Samaritan wants chaos. Or at least that's how it should go, but it won't.