The article starts from the questions: what is it to be an inhabitant or citizen of a globalised world, and how are we to think of education in relation to such inhabitants? We examine more specifically the so–called ‘European area of higher education’ that is on the way to being established and that can be regarded as a concrete example of a process of globalisation. In the first part of the paper we try to show that the discursive horizon, and the concrete techniques and strategies that accompany the establishment of this space of higher education, invite the inhabitants of that space to see themselves as entrepreneurial and autonomous entities. In the second part we show how this specific kind of subjectivation (this production of subjects), related as it is to this globalised space, involves what we call an immunisation that also affects our thinking and our ideas in and about education. To refer to this as a kind of immunisation implies that globalisation could in fact be considered a closing or enclosing rather than an opening up. We argue, therefore, that this immunisation needs to be refused in favour of the invention of other kinds of subjectivity, other ways of speaking and writing about the world and about education, such that we relate to ourselves in a different way.