The inference that things do not matter because they will end is a source of despair for reflective people that features in literature, popular culture, and philosophy. Are there sound arguments in support of the inference? I first review three arguments that have been put forward in the existing philosophical literature and consider the objections that can be made against them. While the objections appear persuasive, these arguments do not exhaust the plausible justifications for the inference. Drawing on examples from (...) philosophy and literature, I introduce two previously undiscussed time-bias arguments in support of the inference that seem to be psychologically powerful. I conclude, however, that the time-bias arguments are also unsound. They involve an inconsistent shift between a temporally neutral and a temporally biased perspective on how the passage of time affects what matters. However the inconsistency is resolved, the conclusion does not follow. (shrink)