The Palestinian-Israeli struggle is an archetypical example of an intractable conflict. It is a protracted, violent, and drawn-out struggle, wherein generation after generation is socially conditioned to continue fighting. The phenomenon operates as a destructive evolutionary mechanism subject to a general principle: almost every element that benefits the conflict survives, while whatever operates against it becomes extinct. Indeed, almost every attempt to solve the Palestinian-Israeli struggle created new problems, which in turn has led to failures and regression. To stop the destructive evolutionary progression, a revolutionary process is required. The question is: How are we to design, implement, and understand such a process?