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Explore the controversial development of set theory, logic, and computability in late 19th and early 20th century mathematics in this 53-minute lecture. Delve into Georg Cantor's pioneering work on Set Theory, Dedekind's construction of real numbers, ordinals and cardinals, and the resulting paradoxes. Examine how the Schools of Logicism, Intuitionism, and Formalism attempted to address these challenges. Gain insights into this pivotal period in mathematical history, its impact on current mathematical thinking, and its significance in the trajectory of human thought.
