The Minority Report Anderton's advice to his successor: "Better keep your eyes open. It might happen to you at any time." The story reflects many of Philip K. Dick's personal Cold War anxieties, particularly questioning the relationship between authoritarianism and individual autonomy. Like many stories dealing with knowledge of future events, "The Minority Report" questions the existence of free will. In 2002, the story was adapted into a film directed by Steven Spielberg and starring Tom Cruise, Colin Farrell and Max von Sydow. Spielberg's film was followed by a series of the same name, which debuted on the FOX Network on September 21,
Directed set Directed set In mathematics, a directed set (or a directed preorder or a filtered set) is a nonempty set "A" together with a reflexive and transitive binary relation ≤ (that is, a preorder), with the additional property that every pair of elements has an upper bound. In other words, for any "a" and "b" in "A" there must exist "c" in "A" with "a" ≤ "c" and "b" ≤ "c". The notion defined above is sometimes called an upward directed set. A downward directed set is defined analogously, meaning when every pair of elements is bounded below. Some authors (and