The paper aims at locating argumentation schemes with hidden premises derived from shared cultural knowledge ( topoi) within philosophical models of communication and discourse referring to inference and argumentation (Robert B. Brandom’s semantic argumentation and related theories, Jean‑Claude Anscombre and Oswald Ducrot’s theory of argumentation‑in‑language). These models enable comparison of argumentation and topics with other inferential mechanisms that underlie communication. A solution for the problem of mutual knowledge, relevant from the viewpoint of topics, is scrutinised from psychologically‑ and sociologically‑oriented perspectives.