Dialogical logic is a dialogue-based approach to logic and argumentation rooted in a research tradition that goes back to dialectics in Greek Antiquity, when problems were approached through dialogues in which opposing parties discussed a thesis through questions and answers. The dialogical framework was first worked out in its modern form by Paul Lorenzen and Kuno Lorenz in the context of constructive mathematics and logic, and inspired many “dialogical logics” that follow more or less the initial program, thus creating what can be called traditions in dialogical logic. This entry focuses on the developments of dialogical logic in the Lorenzen and Lorenz tradition, which developed in the 1990s and 2000s into a fruitful framework for the study, comparison, and combination of various non-classical systems, giving rise to what has been called dialogical pluralism.