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Explore the concept of acceptable mathematical proofs in this 1-hour 11-minute lecture by Andrew Granville from Université de Montréal. Delivered at the Fields Institute on October 18th, 2022, as part of the "2022 Fields Medal Symposium: Akshay Venkatesh," delve into the criteria and characteristics that determine the validity and acceptability of mathematical proofs. Gain insights into the standards and practices within the mathematical community for evaluating and accepting proofs, enhancing your understanding of mathematical reasoning and argumentation.