Political akrasia, as the gap between recognizing the collective good and acting contrary to it, represents one of the fundamental challenges in modern governance. This article proposes an innovative solution to reduce this contradiction by drawing upon Socratic dialectics (the unity of reason and virtue through critical dialogue) and Popperian critical rationalism (the rejection of dogmatism and emphasis on institutional reform). The central research question is: How can the integration of these two theories help address political akrasia in modern governance structures? The hypothesis posits that process-oriented rationality (combining civic participation and critical institutions) can serve as a mediator for realizing the Socratic ideal in practice. Through philosophical-social analysis and examination of case studies such as participatory budgeting, this study demonstrates how dialectics elevates from the individual to the institutional level, transforming virtue into governance processes that reduce akrasia. The paper's innovation lies in connecting Socratic moral philosophy with Popperian social engineering - a connection previously overlooked in existing literature. The findings suggest that modern governance can only overcome this challenge by transcending one-dimensional approaches (whether purely ethical or technocratic) and embracing "institutional dialectics."