We present a novel account of contexts, formalized as fixed point equations in the modal logic QKD4Z. This offers the ability to represent consistency and provability at the object level, with which one can then represent various relationships that must hold between different contexts, such as inheritance, disjointness, compatibility, etc. The logic also offers the ability to name contexts and to obtain explicit sentential representations for these by solving suitable fixed point equations. We illustrate our approach by examples concerning default inheritance of contexts, contradictory contexts, and integration of multiple contexts.