Care has recently become a topical subject, namely through the notion of care. We are quite happy with this development, and yet still wonder about the reasons for this sudden interest for this essential human activity that goes back to the dawn of time. Beyond this debate, we discuss why care, as an essential form of response to the vulnerability of the others, is necessarily in tension between three different elements: technics, relations, and justice. The question is raised of whether our current techno-scientific medicine and sanitary organization really contribute to care.