================================================================================ P9406 J.A. Bergstra, I. Bethke & P.H. Rodenburg "A propositional logic with 4 values: true, false, divergent and meaningless" In this paper, we survey 3-valued logics and their complete axiomatizations, one of which is new. We then propose a 4-valued, functionally complete logic that incorporates these 3-valued systems and provide notations for interesting operators and subsystems.