Relativist 'know': 'wh'-complements and intermediate exhaustivity

We consider a puzzle in the question semantics literature. The puzzle concerns data when 'know' embeds interrogative complements. For the exhaustive strength in the literature known as intermediately exhaustive, first person ascriptions don't seem to exist, but third person do. By arguing against the only solution in the literature, we suggest that the puzzle is more interesting than previously thought. We provide a compositional semantics for 'know' where the interpretation of 'know' is relativized to an information state. The proposed semantics, we think, is compatible with relativism and nonindexical contextualism, but we opt for relativism for its relative ease in capturing disagreement data we provide.