ABSTRACT: The Logics of Formal Inconsistency (LFIs) are paraconsistent logics which internalize the notions of consistency and inconsistency by means of connectives. Based on that idea, in this paper we propose two deontic systems in which contradictory obligations are allowed, without trivializing the system. Thus, from conflicting obligations Oß and O¬ß contained in (or derived from) an information set, it can be derived that the sentence ß is deontically inconsistent. This avoids the logic collapse, and, on the other hand, this allows to "repair" or to refine the given information set. This approach can be used for analyzing paradoxes based on contrary-to-duty obligations.