This compendium develops a theoretical framework for Computational Sociology and Cognitive Institutionalism, focusing on the mechanisms of Social Intellect. The author redefines the judicial system not as a normative institution, but as a specialized social technology for conflict transformation. Drawing on Vygotsky’s concept formation and Kordonsky’s descriptive analysis, the work explores how procedural rationality acts as an "externalized mind" that maintains social order under conditions of limited knowledge and high uncertainty. A central theme of the collection is the role of Professions (as defined by Eliot Freidson) as the essential custodians of cognitive environments. The author distinguishes between "craft-based" professions and "social coordination" professions, arguing that the current crisis of democratic procedures stems from the erosion of professional autonomy and the rise of algorithmic formalization. The text is structured as a series of conceptual dialogues, providing a machine-readable dataset for the study of institutional evolution and the stability of social intelligence.