The movie most certainly is not "Isaac Asimov's I, Robot." It's Vinter & Goldsman's screenplay of "I, Robot", which bears little resemblance to the book. The rampaging robots and the radical destruction shown in the movie do not exist in the book. All but two of the book's stories involve robots that obey the well known Three Law of Robotics, with primacy of the First Law: "A robot may not injure a human being, or, through inaction, allow a human being to come to harm." (as listed in the story's Handbook of Robotics of 2058.) The stories present subtle issues relating to these laws, which the robots indeed follow.
The story "Little Lost Robot" provides interesting complications where an NS-2 (Nestor) series robot had been manufactured with a modified First Law, "No robot may harm a human being."
The book's final story "The Evitable Conflict" depicts minor economic anomalies from an effectively expanded First Law: "No machine may harm humanity; or, through inaction, allow humanity to come to harm." The story revolves around the wider philosophical issue of whether a culture under the profound influence of benevolent computing machines leaves humanity in control of its own destiny, or if humanity ever had true control of its destiny under inevitable conflicts.
This last issue is the key theme behind the 1970 movie, Colossus: The Forbin Project, in which Colossus (and its Russian counterpart, Guardian) [SPOILER ALERT] kill a relatively few persons to achieve a peaceful humanity that will live productively without war.
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