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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.