 According to a once influential hypothesis, medieval theories of consequences would have emerged from the tradition commenting on and discussing Aristotle’s Topics (Bird 1961; Stump 1982). At first sight, this hypothesis may seem plausible: traditionally, the role of the topical framework was often to account for the patterns of (correct) inference and reasoning which did not fit into the syllogistic system presented in the Prior Analytics. So, conceptually, it would seem quite natural that the tradition on the Topics might represent the historical origins of theories of consequences. Moreover, as we have seen, most earlier discussions of the notion of consequence (e.g. Abelard) were conducted explicitly within the context of the topical framework, following Boethius.