This article focuses on the construction of two types of non-logical paradoxes in news discourse: 1) inconsistencies of positions and acts; 2) conflicts between reality and expectations or common sense. I will argue that these paradoxes are constructed by various discursive devices and will demonstrate the key role played by conventional and conversational implicatures in this regard. The discussion will focus on 23 items covering disputes between ultra-Orthodox and secular Jews, broadcast on mainstream Israeli television news in 2009. I will (...) show that the journalists consistently attribute paradoxicality to Haredim, and that this corresponds with the common public bitterness towards them because they enjoy financial support from the government, while sharing little of the economic and security burden. Moreover, I will argue that the paradoxical representations of Haredim rely on the secular ‘we’ group view and serve to base its common sense and norms. (shrink)