This paper examines the Modern Hebrew discourse marker ma, the function of which is to help anchor new information into the discourse when it appears that the newly introduced material is inconsistent with information assumed to be already in the addressees knowledge store. It is claimed that ma is used to acknowledge and possibly rectify such incompatibilities at the service of coherence and consistency. Yet another discourse marker used to preserve coherence (staam) is briefly discussed, showing that it constitutes an instruction to the hearer to delete material from the discourse model in the face of a sharp contradiction between its content and information taken to be shared.