AI時代數學大洗牌:舒爾茨如何重寫宇宙底層代碼?︱凝聚數學(2)

💻 When "Clay Geometry" Meets "Formal Verification," the Erection of Mathematics Undergoes its Ultimate Upgrade! In the previous episode, we witnessed Fields Medal winners Peter Scholze and Clausen dismantle the century-old foundations of topology using countless tiny "dust particles" (condensed sets). But this revolution didn't stop there—in today's rapidly advancing AI landscape, this entirely new mathematical language is triggering an unprecedented "reshuffling of underlying code." This episode, *Condensed Mathematics (2)*, will take you deep into the heart of this intellectual storm. We will see how humanity's most advanced abstract thinking dances perfectly with the rigorous logic of machines, together building an unbreakable new framework for solving physical problems such as quantum field theory. 🔥 Key Takeaways from this Episode: 🌌 Rewriting the Cosmic Code: Why is condensed mathematics considered the ultimate bridge between "algebraic structures" and "topological structures"? How will it completely resolve the long-standing fundamental flaws of quantum field theory? 🤖 Liquid Tensor Experiment: Unveiling the groundbreaking Lean formal verification project in mathematics. How do human intuition and machine computation collaborate when AI intervenes in the proof process? ⚙️ The Birth of a New Paradigm: From "Tactical Execution Force" to "Strategic Architect," what fundamental shifts have occurred in the role of mathematicians in the AI ​​era? 🔗 Eliminating Translation Costs: See how convergent mathematics, like an operating system upgrade, eliminates compatibility bugs between different branches of mathematics. 💡 Who Should Watch: Explorers of cutting-edge AI technologies, those interested in the intersection of mathematics and physics, programmers, and anyone who wants to glimpse the future of scientific research. 👇 Click to subscribe and turn on notifications to stay up-to-date with this mathematical revolution that is reshaping cognition! [   / @johnson-math  ] #ConvergentMathematics #AIAndMathematics #PeterSchultz #LeanProof #QuantumFieldTheory #FormalVerification #HardcoreSciencePopularization #MathematicalRevolution

Hamlet of Calculus in the AI ​​Era: 1000 Intuitions, 1 Essence (Stop obsessing over ε-δ!)
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Hamlet of Calculus in the AI ​​Era: 1000 Intuitions, 1 Essence (Stop obsessing over ε-δ!)

Has the foundation of a century-old mathematical system collapsed? Fields Medal winner uses "dust...
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Has the foundation of a century-old mathematical system collapsed? Fields Medal winner uses "dust...

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銀河號之恥點燃北斗星火,中國北斗用三十年書寫航天逆襲傳奇!從任人掐斷信號到反超 GPS,拆解大國衛星導航的鐵血工程暴力 | 盧克文深度解析

ER=EPR:宇宙的真相——讓人坍塌⋯⋯|總裁聊聊
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ER=EPR:宇宙的真相——讓人坍塌⋯⋯|總裁聊聊

一個月薪100美元的研究員 解開了宇宙探索的密碼 卻放棄了百萬美元的獎金和榮譽  證明龐加萊猜想 | 1K圖解
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一個月薪100美元的研究員 解開了宇宙探索的密碼 卻放棄了百萬美元的獎金和榮譽 證明龐加萊猜想 | 1K圖解

从 LLM 到 Agent Skill,一期视频带你打通底层逻辑!
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从 LLM 到 Agent Skill,一期视频带你打通底层逻辑!

【小岛浪吹】DeepSeek适配华为最新昇腾芯片,韬定律横空出世打破极限,主观分析下中国AI到底处于什么水平
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【小岛浪吹】DeepSeek适配华为最新昇腾芯片,韬定律横空出世打破极限,主观分析下中国AI到底处于什么水平

Anthropic全史:從OpenAI叛逃者,到估值萬億的AI帝國   #人工智慧 #AI #OpenAI #Anthropic #Claude #ChatGPT #ClaudeCode
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Anthropic全史:從OpenAI叛逃者,到估值萬億的AI帝國 #人工智慧 #AI #OpenAI #Anthropic #Claude #ChatGPT #ClaudeCode

驚天爆料!這可能是21世紀最可怕的發明了:金正恩的實際財富已經超過了馬斯克?制裁之下,北韓掠奪財富的秘密武器 [She's Xiaowu 小烏]
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驚天爆料!這可能是21世紀最可怕的發明了:金正恩的實際財富已經超過了馬斯克?制裁之下,北韓掠奪財富的秘密武器 [She's Xiaowu 小烏]

【漫士】“我证明了黎曼猜想,AI说我是对的”
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【漫士】“我证明了黎曼猜想,AI说我是对的”

Linear Algebra, a.k.a. the Foundation of AI: Still Think It's Useless?
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Linear Algebra, a.k.a. the Foundation of AI: Still Think It's Useless?

惊世骇俗的「数学宇宙假说」:物质底层空无一物,宇宙是个静态数学结构,时间是种幻觉|《我们的数学宇宙》精读
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惊世骇俗的「数学宇宙假说」:物质底层空无一物,宇宙是个静态数学结构,时间是种幻觉|《我们的数学宇宙》精读

微軟這波「流氓操作」徹底惹毛全世界,連自家CEO都看不下去了?🔥
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微軟這波「流氓操作」徹底惹毛全世界,連自家CEO都看不下去了?🔥

With memory prices skyrocketing, who's crying? Who's laughing?
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With memory prices skyrocketing, who's crying? Who's laughing?

Is Huawei's "Tao Law" far ahead? Can it really overturn Moore's Law? Or is it just another PPT al...
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Is Huawei's "Tao Law" far ahead? Can it really overturn Moore's Law? Or is it just another PPT al...

这个倒三角 ∇,为什么总在数学和物理公式里出现?
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这个倒三角 ∇,为什么总在数学和物理公式里出现?

Jensen Huang drops AI bombshell in Taipei! Why is Nvidia betting 150 billion on Taiwan? #RealFlig...
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Jensen Huang drops AI bombshell in Taipei! Why is Nvidia betting 150 billion on Taiwan? #RealFlig...

【AI時代下的刷題】-用對了方向,孩子才有可能走得遠
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【AI時代下的刷題】-用對了方向,孩子才有可能走得遠

光模块会产能过剩么?为什么CPO将重塑光模块产业利益格局?一期视频看透800G/1.6T硅光革命与巨头底牌 | 坤元财研
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光模块会产能过剩么?为什么CPO将重塑光模块产业利益格局?一期视频看透800G/1.6T硅光革命与巨头底牌 | 坤元财研

Jensen Huang Says AI Won't Steal Your Job, Yet He Just Unveiled a Chip Not Designed for Humans
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Jensen Huang Says AI Won't Steal Your Job, Yet He Just Unveiled a Chip Not Designed for Humans