 Recently, Wallace (2020) has introduced philosophers to another puzzle, intimately related to information loss in the context of black-hole evaporation. For lack of a better term, and so as to distinguish it from the standard problem, we call this ‘Page-time paradox’, as it was first formulated by Page (1993), and turns on calculation of a distinguished time in the evolution of an evaporating black hole, the so-called Page time, that time at which half of the black hole's original entropy has been radiated away. Page showed that there is a manifest inconsistency between a treatment of black hole evaporation that is wholly formulated in the terms of statistical mechanics, and the standard semi-classical treatment used in derivations of Hawking radiation. Wallace argues forcefully that this puzzle is incontrovertibly paradoxical, completely divorced from the issue of whether or not unitarity fails, and raises deep philosophical problems of its own. 