By presenting an argument, a proponent commits himself or herself to the adequacy of the connection between the argument’s premises and its conclusion. What is this connection, and when is it adequate? I deal with these questions by using insights and techniques from dialectical approaches to argumentation. First, I show that by advancing an argument, the proponent commits himself or herself to its connection proposition, which does not generalize upon the conclusion and premises. When a challenge turns this connection proposition into a connection premise, there may be a particularist defence available, so that the proponent need not commit himself or herself to any generalization of it. Second, I pay attention to situations where the prop...