In this paper, I discuss globalisation as an empirical reality that is in a complex relation to its corresponding discourse and in a critical distance from the cosmopolitan ideal. I argue that failure to grasp the distinctions between globalisation, globalism, and cosmopolitanism derives from mistaken identifications of the Is with the Ought and leads to naive and ethnocentric glorifications of the potentialities of globalisation. Conversely, drawing the appropriate distinctions helps us articulate a more critical approach to contemporary cultural phenomena, and reconsider the current place and potential role of education within the context of global affairs. From this perspective, the antagonistic impulses cultivated by globalisation and some globalist discourse are singled out and targeted via a radicalization of educational orientations. The final suggestion of the article concerns the vision of a more cosmopolitically sensitive education.