Minority Report (film) Goldman in 1992. He created the initial script for the film with Ron Shusett and Robert Goethals (uncredited). It was supposed to be a sequel to the 1990 Dick adaptation "Total Recall", which starred Arnold Schwarzenegger. Novelist Jon Cohen was hired in 1997 to adapt the story for a potential film version that would have been directed by Dutch filmmaker Jan de Bont. Meanwhile, Cruise and Spielberg, who met and became friends on the set of Cruise's film "Risky Business" in 1983, had been looking to collaborate for ten years. Spielberg was set to direct Cruise in "Rain Man", but
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