This paper discusses how to deal with research that threatens to cause harm to society—in particular, whether and in what cases bans and moratoria are appropriate. First, it asks what normative resources philosophy of science may draw on to answer such questions. In an effort to presuppose only resources acknowledgeable across different comprehensive worldviews, it is claimed that the aim of credibility provides a good basis for normative reflection. A close analysis reveals an inner tension inherent in the pursuit of (...) credibility, referred to as the paradox of credibility: Although the aim of credibility involves the goal of being trusted, the immediate pursuit of the goal of being trusted as much as possible can run counter to and undermine the pursuit of credibility. From this inner tension, considerations are derived on what it means to uncompromisingly strive for trustworthiness. When applied to the problem of harmful research, it becomes apparent that it is important to distinguish between different types of cases. Some cases allow science to prevent harm while relinquishing credibility in the associated research area. In contrast, other cases demand preserving subject-specific scientific credibility in order to manage potential harm. (shrink)