The world where Winston lives has contradictions. What role do they play in the framework of Doublethink? How does Doublethink satisfy the Party?This is just one question! There are many parts to it.
The idea of confusion benefitting the party is a powerful one. The fact that Big Brother and the government of Oceania has helped to construct a world where contradictions and confusion is dominant helps the party because it helps to make the party's simplicity a haven for many. The party is driven to not have any impediments to their control over the citizens' lives. This means that everything, even logic, must come second to the party and the government. In such a setting, the more confusion that is present, the greater the willingness to capitulate to the symmetry and supposed unity that is offered by the Party. Doublespeak is an example of this. In trying to derive slogans that will keep people in check, preventing them from questioning authority because of confusing them, Doublespeak is a way to ensure complete obedience. Think of a parent really confusing a child, or a teacher completely confounding a student. In both situations, there is a point where the child or student will simply be so lost in confusion that their will to resist will disappear and they can simply "be led.'
The world where Winston lives is full of contradictions and each has a role in adding to the confusion that surrounds not only Winston, but all of the people in Oceania who care to notice. One of these contradictions are the fact that Oceania is at war with Eastasia one day and friends with Eurasia, then the next day it is opposite. Another is found in the statement by Syme when he says that life is wonderful because he has all he needs, then asks Winston for a razor. These ideas and others contribute to the constant confusion that the leaders of Oceania want the people to be in so that they do not have time to question what the government is doing so that the leaders may do as they please.