This paper is concerned with the concept of ‘presupposition’, specifically as it is applied in critical approaches to discourse analysis such as Critical Discourse Analysis or Societal Pragmatics, and proposes a systematisation of a socio-cognitive approach to the concept. Presupposition analysis is crucial for uncovering naturalised ideologies underlying discourse, and examining manipulative functions of discourse, especially strategies making it socially or cognitively harder to challenge ideological assumptions. However, the way presupposition is analysed in current critical discourse analysis is not methodologically (...) consistent and not necessarily theoretically consistent with an understanding of discourse as socio-cognitively grounded social practice. I demonstrate this through a brief overview of the two main current approaches to presupposition in discourse analysis – the truth conditional and the socio-cognitive one. I propose examining presupposition on different levels of analysis, ranging from lexical-item triggered presuppositions to discourse presuppositions and mutually presupposed pragmatic competence. (shrink)