This chapter discusses temporal aspects of the Anthropocene – a temporal concept often related to doom, distress and lack of future hopes. The chapter is interested in the ways in which the notion of time itself (including the even more problematic notion of deep time) and human-induced changes on large temporal scales can be represented in media forms outside the conventionally scientific channels. The chapter is particularly concerned with how narrativity offers itself as a method for making time comprehensible to human beings, and in an attempt to reflect productively on this theme, Paul Ricoeur’s notions of narrativity and time are combined with classical Aristotelian concepts. Towards the end, the narrativity of computer simulations is discussed, along with four narrative ways of approaching an Anthropocene future. Even in this future, there might be hope to be found.