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 While the definition of a directed set is for an "upward-directed" set (every pair of elements has an upper bound), it is also possible to define a downward-directed set in which every pair of elements has a common lower bound. A subset of a poset is downward-directed if and only if its upper closure is a filter. Directed subsets are used in domain theory, which studies directed complete partial orders. These are posets in which every upward-directed set is required to have a least upper bound. In this context, directed subsets again provide a generalization of convergent sequences. Directed set