In the first part of this paper I make some general remarks about the relevance of semantics and pragmatics to argumentation theory, insisting on the importance of the reconstruction of speaker meaning for argument analysis, especially in the case of implicatures. In the second part of the paper I look more closely at the relation between argument and implicature. In the last part I discuss the concept of argumentative implicature, that is, implicatures that are generated by speech acts of arguing. I maintain, against Jackson (1987), that there are no specifically argumentative implicatures