Les notions de temps et de vérité. Dialogue entre Alain Connes & Daniel Sibony.

A conversation between mathematician Alain Connes, holder of the Chair of Analysis and Geometry at the Collège de France (1984-2017), and mathematician, philosopher, and psychoanalyst Daniel Sibony, recorded at the Hugot Foundation of the Collège de France on February 25, 2019. Together, they explore the boundaries of science, philosophy, and the human psyche to redefine our most fundamental concepts. The program for this interview includes: The Path of Originality: Daniel Sibony reflects on his origins in Marrakech and how his rejection of "well-written but empty texts" shaped his thinking. Alain Connes emphasizes the importance of what "falls outside the ordinary" in research. The Emergence of Time: Why isn't time simply a straight line? Alain Connes explains how, in quantum physics, time "emerges" from a limited understanding of a system. He proposes replacing the notion of the passage of time with that of variability. The Time-Object and the Clinic: Daniel Sibony illustrates the theory with a fascinating anecdote: a patient suffering from an unexplained fever of 38°C, the origin of which was linked to the traumatic events of 1938. Truth Beyond True/False: Drawing on Grothendieck's Topos, Alain Connes demonstrates that truth is not binary. There are "nuances of truth" (being one step, two steps, or ten steps away from the truth), a notion that revolutionizes both mathematics and the social sciences. The "Tick-Tock of the Divine Clock": Discover Connes' famous formula on quantum randomness and Sibony's vision of time, which is drawn from "the infinity of possibilities." Chapters: 00:00 - Introduction and presentation by Daniel Sibony. 08:20 - From mathematics to psychoanalysis: an atypical trajectory. 15:30 - Time as variability and quantum emergence. 30:45 - The inscription of time in the body: the clinical case of fever. 45:10 - The structure of time in Proust: layering. 1:05:00 - Grothendieck's Topos: towards a nuanced truth. 1:25:00 - Conclusion: Time, knowledge, and the myth of birth. #AlainConnes #DanielSibony #QuantumPhysics #Psychoanalysis #Mathematics #Philosophy #Time #truth