The present article develops a theoretical and philosophical critique of the subjectivist paradigm that grounds a good part of present-day anthropological discourse. The main thesis is that by placing the individual and its subjective experiences at the beginning and end of the anthropological discourse, one never thoroughly acknowledges and accepts our non-subjective and finite modes of being, thereby replicating a distorted and shallow picture of what we are as humans. The article explores, first, how that subjectivist paradigm came about, as well as some of its problems; secondly, it considers ethics and morality as the domain where one can better grasp the limits of subjectivist orientations; and concludes by turning to Heidegger's perspective on the ontological finitude of Dasein in order to emphasize the need for contemporary anthropology to build its reflections from within human finitude, that is, the frailties and the practical, analytic and moral limits of human existence.