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 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