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This article aims to develop Carel’s view on ‘paradoxical’ utterances, based on two fundamental notions of the Theory of Semantic Blocks, ‘argumentative sequence’ and ‘argumentation scheme’. This view can account not only for the paradoxical interpretation of a simple utterance as Carel suggests it, but also for that of a more complex discourse. However, it raises some problems in this last case, the most difficult of which is related to the general question of the origin of argumentation schemes. Each of these problems is discussed in detail and given an appropriate solution.