This article tackles the problem of controversies expressed by experts in the field of estimating and managing ionizing radiation risks. We analyze the paradigms that were conceived on this subject, in particular the studies carried out by the International Commission on Radiological Protection (ICRP), as well as the papers stating either that the effect of low doses is relatively weak or, on the contrary, relatively serious. Uncertainties, which taint the risk estimations, assume a particular importance because they are at the origin of the request for expert and value judgments and represent the critical point of the discussions on the ionizing radiation risks. Our study allows us to look further into the problem of the paradigm's formation, uncertainties, and expert and value judgments, and provides areas for consideration that may contribute to a better understanding of certain gridlocks in the decision-making process, as regards to environmental, health, and energy policies.