 The metasemantic interpretation of the 2D framework is structurally different from semantic interpretations like Jackson’s and Chalmers’ in a number of important respects. First, on the metasemantic approach, 2D matrices are defined in terms of a restricted set of possible worlds. Metasemantic 2D matrices are defined only with respect to those worlds that are consistent with some relevant set of the subject’s background assumptions. On a semantic interpretation, in contrast, 2D matrices are defined on the set of all centered possible worlds.