Abstract Kratzer’s semantics for the deontic modals ought, must, etc., is criticized and improvements are suggested. Specifically, a solution is offered for the strong/weak, must/ought contrast, based on connecting must to right and ought to good as their respective ordering norms. A formal treatment of the semantics of must is proposed. For the semantics of ought it is argued that good enough should replace best in the formula giving truth conditions. A semantics for supposed to slightly different from that for ought is proposed that connects interestingly with the “normative judgement internalism” problem. An extended analysis of the workings of the ordering source in Kratzer semantics reveals several problems and re...