Minority Report (film) Anderton uses a punch card machine to interpret the precogs' visions; in the movie, he uses a virtual reality interface. The main theme of "Minority Report" is the classic philosophical debate of free will versus determinism. Other themes explored by the film include involuntary commitment, the nature of political and legal systems in a high technology-advanced society, the rights of privacy in a media-dominated world, and the nature of self-perception. The film also continues to follow Spielberg's tradition of depicting broken families, which he has said is motivated by his parents' divorce when he was a child. The score was
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