In this article I respond to the defences of the Strong Programme put forward by David Bloor and Márta Fehér in this issue. I dispute the claim that it is attention to only limited parts of the Strong Programme framework that allows me to argue that this approach: leads to weak idealism, undermines the idea that theories have varying levels of instrumental success, and challenges the theoretical claims of scientific actors. Rather, I argue that these problematic positions are entailed by (...) the constructionist tenets at the core of the Strong Programme.Keywords: Strong Programme; David Bloor; Social constructionism; Idealism; Self-Reference; Anomalies. (shrink)