Minority Report (film) its ending. The film has a more traditional "happy ending" which contradicts the tone of the rest of the picture. This has led to speculation that this ending is the product of John's imagination, caused by hallucinations from his forced coma after he is incarcerated. As one observer mused, "The conclusion of "Minority Report" strikes me as a joke Spielberg played on his detractors—an act of perfectly measured deviltry." One critic theorized, "...[r]ather than end this "Brazil"-ian sci-fi dystopia with the equivalent of that film's shot of its lobotomized hero, which puts the lie to the immediately previous scene of
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