In this paper, we discuss the problems and prospects of interdisciplinary encounters between philosophy of science and the sciences, from the perspective of individual researchers as well as institutions. In the first Section we name some general problems concerning the possible points of interaction and the content of interdisciplinary research. In the second Section we compare the advantages and risks of interdisciplinarity for researchers and institutions. In the third Section we discuss interdisciplinary PhD programs, in particular concerning two main problems: increased workload and the quality of supervision. In the final Section 4, we look at interdisciplinary careers beyond the PhD.