 Fourth, on the metasemantic approach, the basic semantic assignments are always horizontal intensions, which reflect the nature of the objects, kinds and properties the subject is thinking and talking about. On a metasemantic account, diagonal intensions represent ad hoc reinterpretations that we resort to when the normal horizontal intension for a subject’s sentences or thoughts is necessarily true or necessarily false, and hence makes no substantive claim about the empirical world. Such diagonal intensions, moreover, are theoretical abstractions derived from a set of horizontal intensions that are compatible with the subject’s partial ignorance about nature of the objects, kinds, and properties she is representing (i.e., her partial ignorance of the horizontal intensions for her words and thoughts). Semantic interpretations of the 2D framework, in contrast, treat the intensions picked out by the diagonal of a 2D matrix as basic semantic values in their own right.