Introduction : changing forms of global order. Towards a multipolar world ; The paradox of our times ; Economic liberalism and international market integration ; Security ; The impact of the global financial crisis ; Shared problems and collective threats ; A cosmopolitan approach ; Democratic public law and sovereignty ; Summary of the book ahead -- Cosmopolitanism : ideas, realities and deficits. Globalization ; The global governance complex ; Globalization and democracy : five disjunctures ; Cosmopolitanism : ideas and trajectories ; Cosmopolitan realities ; Addressing the institutional deficit : reframing the market -- Principles of cosmopolitan order. Cosmopolitan principles ; Thick or thin cosmopolitanism? ; Cosmopolitan justifications ; From cosmopolitan principles to cosmopolitan law -- Cosmopolitan law and institutional requirements. The idea of cosmopolitan law ; Institutional requirements ; In sum ; Political openings -- Violence, law and justice in a global age. Reframing human activity : international law, rights and responsibilities ; 9/11, war and justice ; Islam, the Kantian heritage and double standards ; Concluding reflections -- Reframing global governance : apocalypse soon or reform!. The paradox of our times ; Why be concerned with global challenges? ; Deep drivers and governance challenges ; Global governance : contemporary surface trends ; Problems and dilemmas of global problem-solving ; Strengthening global governance ; Global governance and the democratic question ; Multilevel citizenship, multilayered democracy -- Parallel worlds : the governance of global risks in finance, security and the environment. Global governance and the paradox of our times ; The global governance of finance ; The global governance of security ; The global governance of the environment ; Conclusion : crisis, politicization and reform -- Democracy, climate change and global governance. Democracy I : the democratic nation-state and climate change ; Democracy II : global governance and climate change ; The policy debate : squaring the circle? ; The political elements of a democratic global deal ; Democracy and the policy menu ahead.