This paper explores the outlines of a framework for evaluating arguments. Among the factors to take into account are the strength of the arguers' inferences, the level of their engagement with objections raised by other interlocutors, and their effectiveness in rationally persuading their target audiences. Some connections among these can be understood only in the context of meta-argumentation and meta-rationality. The Principle of Meta-Rationality (PMR)--that reasoning rationally includes reasoning about rationality-is used to explain why it can be rational to resist dialectically satisfying arguments or accept logically flawed ones.