World history as we have it now is the pertinent form of knowledge for our times, taking its place besides other dubious labels such as multiculturalism, globalisation, multilateralism, and the new world order. This paper points out that it is in various ways one of the 21st century's pre-eminent forms of colonising knowledge - and all the more insidious in that it appears to be as benign and ecumenical an enterprise as one can imagine. An integrated history of one world sounds appealing, but we need to have a conception of many worlds, not just one world from the viewpoint of western exceptionalism.