This article is concerned with pragmatic connectives and their uses in discursive argumentation. Three approaches to pragmatic connectives will be presented: (1) argumentation theory, which implies a conception of pragmatics integrated within semantics, and a specific type of argumentative rules, called ‘topoi’; (2) discourse structure theory, which associates a function in the structuring of discourse sequences to pragmatic connectives; (3) relevance theory, which constitutes a cognitive pragmatic theory, in which no specific principle is associated to linguistic items. However, two main (...) functions to pragmatic connectives can be proposed: the facilitation of inferences, and the access to relevance. The final purpose of this article is to indicate how argumentative effects in discourse can be explained in a cognitively-based pragmatic theory. (shrink)