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Explore the challenges posed by Gödel's incompleteness theorem and the concept of independence in mathematics in this 54-minute MUNI Seminar Series lecture. Delve into the frustration mathematicians face when encountering problems independent of the widely-used ZFC axiom system, including the famous Continuum Hypothesis. Examine various approaches to "taming the monster of independence" and discover potential methods for resolving seemingly unsolvable mathematical problems. Gain insights into the ongoing efforts to overcome the limitations imposed by independence and maintain the belief that every genuine mathematical problem has a solution.
