This talk addresses three different issues that should be given more attention when developing new systems for uncertainty management, especially for the integration of information retrieval and database systems. First, vague (or fuzzy) predicates abstract from specific methods of text indexing, thus representing the appropriate logical level for the IR component, and also can be extended to arbitrary data types, especially multimedia. Second, probabilistic rules in probabilistic Datalog extend reasoning over uncertain facts by inferring uncertain statements from deterministic facts. Finally, 4-valued logic should be used when possibly contradicting facts from different sources have to be integrated.