 Second, just which set of possible worlds is used to construct a metasemantic 2D matrix depends in part on the theorist’s contingent explanatory interests. For instance, Daniels’ current internal state of understanding the expression ‘Mars’ may be associated with different 2D matrices, depending on whether we are interested in characterizing his conversation with O’Leary or in characterizing his thought identifying a speck visible in the night sky as Mars. In many contexts, moreover, we can characterize the content associated with Daniels’ internal state without resorting to the 2D apparatus at all: e.g., when Daniels asserts ‘Mars is a planet’ we can usually model what he says and thinks in terms of a simple horizontal intension. Semantic interpretations of the 2D framework treat the intension corresponding to the diagonal of a 2D matrix as fully determined by the subject’s internal states, whereas on a metasemantic approach which diagonal intension is assigned—or whether a diagonal intension is invoked at all—depends on the explanatory interests of an  interpreter.[24]