 In short, process philosophy is best understood as the effort to replace a longstanding philosophical research paradigm, in a sense close to T. Kuhn’s use of the term, i.e., to replace a set of longstanding fundamental assumptions that delimit the scope of legitimate topics and direct theory construction. For example, process philosophers assume that the only primary or basic ontological categories should be terms for occurring entities, and that certain formal theories—for example, set theory—are ill-suited of themselves, without modifications, to express the dynamic relationships among occurrences. Or again, process thinkers hold that philosophical research may legitimately address ‘creative’ phenomena that cannot be described as the modification of a pre-existing and persistent unit, such as phenomena of complexity or self-organization. What unifies contemporary process-philosophical research more than any other aspect, however, is its metaphilosophical aim to revise long-standing theoretical habits. Given its current role as a rival to the dominant substance-geared paradigm of Western metaphysics, process philosophy has the overarching task of establishing the following three claims: