This paper distinguishes between two types of persuasive force arguments can have in terms of two different connections between arguments and inferences. First, borrowing from Pinto (in Argument, inference, and dialectic, Kluwer Academic Pub, Dordrecht, 2001), an arguer's invitation to inference directly persuades an addressee if the addressee performs an inference that the arguer invites. This raises the question of how invited inferences are determined by an invitation to inference. Second, borrowing from Sorenson (J Philos 88:245–266, 1991), an arguer's invitation to inference indirectly persuades an addressee if the addressee performs an inference guided by the argument even though it is uninvited. This raises the question of how an invitation to inference can guide inferences that the arguer does not use the argument to invite. Focusing on belief-inducing inference, the primary aims here are (i) to clarify what is necessary for an addressee's belief-inducing inference to be invited by an argument used as an instrument of persuasion; and (ii) to highlight the capacity of arguments to guide such inferences. The paper moves beyond Pinto's (2001) discussion by using Boghossian's (Philos Stud 169:1–18, 2014) Taking Condition in service of (i) and (ii) in way that illustrates how epistemically bad arguments can rationally persuade addressees of their conclusions.