Although the fallacy of composition is little studied and trivially illustrated, some view it as ubiquitous and paramount. Furthermore, although definitions regard the concept as unproblematic, it contains three distinct elements, often confused. And although some scholars apparently claim that fallacies are figments of a critic’s imagination, they are really proposing to study fallacies in the context of meta-argumentation. Guided by these ideas, I discuss the important historical example of Michels’s iron law of oligarchy
