This paper explicates the philosophical and epistemological background of the MIRRORS project, which is the starting point of the various contributions in this issue. Developments in the philosophy of science will be discussed, especially the watershed work of Kuhn, in order to analyze further developments in the sociology of science, particularly starting from the Strong Programme. Finally, it will be shown how a multidisciplinary approach in Science & Technology (S&T) studies, as opposed to an interdisciplinary one, is to be preferred. Specifically, the connection between this approach and the modelling and idealizational approaches to science is stressed and defended as the best available approach for the formation of a conscientious democratic knowledge-based society.