The topic of the talk concerns inference in the context of incomplete and inconsistent information (e.g., the WWW). I present a more flexible 4-valued framework than the so-called Dunn-Belnap 4-valued logic. After reviewing work on the 4-valued logic, I shall present work in progress generalizing work of Audun Jøsang on subjective logic, splitting his uncertainty into two graded kinds having to do with incompleteness and inconsistency under the common heading of an information dimension. An Opinion Tetrahedron generalizes his Opinion Triangle. The 4-valued logic can be embedded into this framework.