Following a brief presentation of the main results of R. Barbaras’ contemporary essay in phenomenological cosmology, L’appartenance, we propose to examine what appear be two internal tensions: a) the apparent inflation of the importance of the conceptuality of spatiality for describing the type of adjointment that unites subjective life and the life of the world, and b) the competition between two opposing ontological models of mobility in the description of subjective life (or of the living in general): a model of "ontological poverty" of the subjects of movement, for which mobility is the trace and effect of a lack, a desire; and respectively a model of "ontological richness", for which the mobility of the living is an inheritance of the fundamental mobility of physis, an extension and augmentation of the latter. We aim to show that the concept of movement resurfaces at the very heart of these two internal tensions.