Themes in Minority Report film is a combination of whodunit, thriller, and science fiction. Spielberg has characterized the movie's story as "fifty percent character and fifty percent very complicated storytelling with layers and layers of murder mystery and plot." The film's central theme is the question of free will vs. determinism. It examines whether free will can exist if the future is set and known in advance. It also concerns itself with the role of preventative government in protecting its citizenry, which was apt of the time of the picture's given America's debates over the government's expanding powers after 9/11. "Minority Report" presents a
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