The introductory chapter outlines the need for a rethink of territory. Beneath the surface of international and transnational discourses about globalisation and global governance is a conceptual and theoretical indeterminacy deriving from the, often unperceived, conflicting nature of the spaces of globalisation and the spaces of sovereignty. Where global law and governance are discussed, the old statocentric conceptions of spatiality provide the governing model, dominating such that if there is no state-territory, it is asumed there is no territory at all. There is tension between theories of a system with an overly determined spatial logic to ones without much account of space. There is little discussion about where functions go nor of the logics of the spaces in which they are exercised. The spaces of reterritorialisation are missing. As a result, functions exercised ‘beyond’ state territories appear to ‘float free’ of the highly specific territorialised legal order. Many theories cannot account for reterritorialisation because the territories of non-state actors are invisible to international legal thought because its orthodox spatial imaginary only makes visible state spaces.