Sixteen years after Kim’s seminal paper offering a welcomed analysis of the emergence concept, I propose in this paper a needed extension of Kim’s work that does more justice to the actual diversity of emergentism. Rather than defining emergence as a monolithic third way between reductive physicalism and substance pluralism, and this through a conjunction of supervenience and irreducibility, I develop a comprehensive taxonomy of the possible varieties of emergence in which each taxon—theoretical, explanatory and causal emergence—is properly identified and (...) defined. This taxonomy has two advantages. First, it is unificatory in the sense that the taxa it contains derive from a common unity principle, which consequently constitutes the very hallmark of emergentism. Second, it can be shown that the emergence taxa it contains are able to meet the challenges that are commonly considered as being the hot topics on the emergentists’ agenda, namely the positivity, the consistency and the triviality/liberality challenges. (shrink)