Minority Report (film) "good guy", as he was in the short story. In contrast to Spielberg's next science fiction picture, "War of the Worlds", which he called "100 percent character" driven, Spielberg said the story for "Minority Report" became "fifty percent character and fifty percent very complicated storytelling with layers and layers of murder mystery and plot." According to film scholar Warren Buckland, "It appears that...Cohen and...Frank did not see" the "Goldman and Schusett screenplay; instead; they worked on their own adaptation." Goldman and Schusett however claimed the pair used a lot of material from their script, so the issue went through the
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