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This lecture delves into the impact of Alan Turing during World War II, where he proposed more efficient algorithms to decrypt Enigma machine messages, ultimately contributing to the war's end. Turing's genius extended beyond the war, as he revolutionized the concept of calculus by introducing the Turing Machine, a theoretical model capable of executing any algorithm. Gérard Berry further explains the simplicity of the Turing Machine, highlighting its ability to simulate various algorithms and serve as the foundation for modern computers, robots, and other devices.