Terence Tao - 数学、物理学中最难的问题以及人工智能的未来

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2025-12-15 19:34:15

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油管搬运+中字精校，仅用于学习，关注UP每日推送精选视频~ 2025.6.15 陶哲轩被广泛认为是历史上最伟大的数学家之一。他获得了菲尔兹奖和数学突破奖，并在众多领域做出了贡献，从纳维-斯托克斯方程的流体动力学到数学物理和量子力学、素数和解析数论、调和分析、压缩感知、随机矩阵理论、组合数学，以及在数学史上许多最难题上取得的进展。 OUTLINE: 0:00 - Introduction 0:49 - First hard problem 6:16 - Navier–Stokes singularity 26:26 - Game of life 33:01 - Infinity 38:07 - Math vs Physics 44:26 - Nature of reality 1:07:09 - Theory of everything 1:13:10 - General relativity 1:16:37 - Solving difficult problems 1:20:01 - AI-assisted theorem proving 1:32:51 - Lean programming language 1:42:51 - DeepMind's AlphaProof 1:47:45 - Human mathematicians vs AI 1:57:37 - AI winning the Fields Medal 2:04:47 - Grigori Perelman 2:17:30 - Twin Prime Conjecture 2:34:04 - Collatz conjecture 2:40:50 - P = NP 2:43:43 - Fields Medal 2:51:18 - Andrew Wiles and Fermat's Last Theorem 2:55:16 - Productivity 2:57:55 - Advice for young people 3:06:17 - The greatest mathematician of all time

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