Despite growing interest in the geographies of death, loss and remembrance, comparatively little geographical research has been devoted to either the historical and cultural practices of death, or to an adequate conceptualization of finitude. Responding to these absences, this paper argues for the importance of the notion of finitude within the history and philosophy of geographical thought. Situating finitude initially in the context of the work of Torsten Hägerstrand and Richard Hartshorne, the notion is argued to be both productive of a geographical ethics, and as epistemologically constitutive of phenomenological apprehensions of 'earth' and 'world'. In order to better grasp the sense and genealogy of finitude, the paper turns to the work of Martin Heidegger, Michel Foucault and Georges Bataille. These authors are drawn upon precisely because their writings present powerful conceptual frameworks that demonstrate the intimate relations between spatiality, death and finitude. At the same time, their writings are critically interrogated in the light of perhaps the most important aspect of the conceptual history of finitude: the way in which it has been articulated as a site of anthropocentric distinction. The paper argues for a critical deconstruction of this anthropocentric basis to finitude; a deconstruction that raises a series of profound questions over the ethics, normativities and understandings of responsibility shaping contemporary ethical geographies of the human and non-human. In so doing, the paper demonstrates the geographical importance of the notion of finitude for a variety of arenas of debate that include: phenomenological understandings of spatiality; the biopolitical boundaries drawn between human and animal; and contemporary theorizations of corporeality, materiality and hospitality.