When discussing dialogue, argumentation researchers rarely draw the distinction between the story world and interactional world. While mediators often help to shape the interactions among agonists in the emerging flow of spoken discourse, writers of postulated dialogues narrate them, constructing a story world that depicts the agonists, depicts their utterances and their circumstances. In this paper, I ask where the agonists of the dialogue model of argument interact, and I show that they often interact in the story world of postulated (...) dialogues. Postulated dialogues are story problem conversations. Common in textbooks, exams, and standardized tests, story problems create hypothetical situations to illustrate formal relationships among variables, and are designed to be read in a theoretical attitude that treats the characters, objects, and circumstances that they depict as given. When argumentation researchers examine postulated dialogues, they tend to adopt a theoretical attitude, limiting their analysis to the conversation between the agonists depicted in the story world. Reading this way makes it easier to overlook the interactional world where the writing and reading of the texts takes place, obscuring the fact that they are narrated dialogues, often written by researchers. Reading this way also makes it easier to confirm the traditional participation framework of the dialogue model of argument. (shrink)