In this introduction, I first present the general problematic of the special section. Our world faces several existential challenges war, and global injustice) and some would argue that the only adequate answer to these challenges is setting up a world government. I then introduce the contributions that comprise the scholarly body of the special section: Andrić on global democracy; Hahn on global political reconciliation; Pinheiro Walla on Kant and world government; Miklós & Tanyi on institutional consequentialism and world governance. Lastly, I briefly describe the practical context in which the idea of the special section has arisen and in which the present contributions have taken shape.