We focus on three main sets of topics emerging from the commentaries on our target article. First, we discuss several types of animal behavior that commentators cite as evidence against our claim that animals are restricted to temporal updating and cannot engage in temporal reasoning. In doing so, we illustrate further how explanations of behavior in terms of temporal updating work. Second, we respond to commentators' queries about the developmental process through which children acquire a capacity for temporal reasoning and about the relation between our account and accounts drawing similar distinctions in other domains of cognition. Finally, we address some broader theoretical issues arising from the commentaries, concerning in particular the question as to how our account relates to the phenomenology of experience in time, and the question as to whether our dichotomy between temporal reasoning and temporal updating is exhaustive, or whether there might be other forms of cognition or representation related to time not captured by it.