In this paper, we discuss some problems and prospects of interdisciplinary encounters by focusing on philosophy of science as a case study. After introducing the case, we give an overview about the various ways in which philosophy of science can be interdisciplinary in Section 2. In Section 3, we name some general problems concerning the possible points of interaction between philosophy of science and the sciences studied. In Section 4 we compare the advantages and risks of interdisciplinarity for individual researchers and institutions. In Section 5, we discuss interdisciplinary PhD programs, in particular concerning two main problems: increased workload and the quality of supervision. In the final Section 6, we look at interdisciplinary careers beyond the PhD.