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 this article) assume that a directed set is directed upward, unless otherwise stated. Beware that other authors call a set directed if and only if it is directed both upward and downward. Directed sets are a generalization of nonempty totally ordered sets. That is, all totally ordered sets are directed sets (contrast "partially" ordered sets, which need not be directed). Join semilattices (which are partially ordered sets) are directed sets as well, but not conversely. Likewise, lattices are directed sets both upward and downward. In topology, directed sets are used to define nets, which generalize sequences and unite the various