I argue that descriptive uses of indexicals pose a challenge to the situation semantics of Kratzer and Berman. Many of the proposed methods of analysis for descriptive indexicals are based on the situation semantics of Kratzer as supplemented by Berman’s notion of a minimal situation. As Kratzer observed, not all domains are countable and especially not those that are, as is the case with some situations, overlapping. Thus the notion of a minimal situation was initially intended to single out those situations which could serve as a counting domain for quantified sentences. Although minimality works well for timeless situations, I argue that descriptive uses of indexicals requires taking time into consideration and that time, combined with static predicates, poses a challenge to minimality. In (2010) Kratzer introduced the notion of a countable situation intended to replace the notion of a minimal situation. I argue that this notion fails for cases that involve some static predicates.