Today, the term 'global' has become a pervasive description of universities that aim to alleviate their importance and reach. The global looks inherently big. By relating to a spherical shape it attributes size in two distinct ways: it signifies the comprehensive and extensive reach of a theme or issue as well as the spherical centrality of an organisation. The paper argues that such perceptions of the global as big do not simply derive from the size of a terrestrial body. Rather, it excavates the historic roots of global size-building and the complicity of science and the university therein. It draws on two historic case studies: the formation of globality in the 'cordial agreement' between the "Hohenstaufen" emperors and medieval scholars and the conquering globality in the 'symbiotic relationship' between the Spanish Empire and cosmography. While distinct as historical cases they structure globality in a way that nurtures contemporary perceptions of the global. The historic genesis shows that the university is not merely sized through the global but that the university establishes a common knowledge space that makes the global emblematically big. The global sizing of the university today is just as much the story of the academisation of the globe.