We follow Pollard (2007) in assuming that the mainstream Kripke/Montagueinspired possible-worlds semantics is “a framework known to have dubious foundations” (primarily because of the granularity problem), and “worlds are constructed from propositions […], and not the other way around”. We intend to work out this approach in a DRT-based framework, called ReALIS, in order to account for phenomena concerning referent accessibility, at the same time. We claim that our system offers a general solution to problems of intensional identity, and it is devoid of DRT’s “extra level” problem—by embedding discourse representations in the world model, not directly but as parts of the representations of interpreters’ minds, i.e., their (permanently chang...