It should be noted that it's very important that the protagonist in "The Minority Report" is himself a member of the Precrime Bureau. Unlike most people, he has access to information about his own future actions. Much as in Heisenberg's uncertainty principle and certain theories of sociology, the interaction of the observer influences the outcome.
The Report assumes a single, fixed future, so that the answer to the question "Will X happen?" is always true or false. In fact the changes made to the future lead to a variety of outcomes.