137. 对洪乐潼的4小时访谈:AI for Math、把数学变成Lean、数学天书的证明、直觉、被创造与被发现的
137. 对洪乐潼的4小时访谈:AI for Math、把数学变成Lean、数学天书的证明、直觉、被创造与被发现的
Podcast4 hr 24 min
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Note: AI-generated summary based on third-party content. Not financial advice. Read more.
Quick Insights

Investors should monitor Google (GOOGL) and Amazon (AMZN) as they lead the transition from "probabilistic" AI to "deterministic" reasoning through projects like AlphaProof and AWS automated reasoning teams. High-conviction opportunities are emerging in Vertical AI startups that focus on Formal Verification and the Lean programming language to eliminate AI hallucinations in software and chip design. While Axiom is currently a private unicorn, its "SpaceX-like" risk profile suggests a binary investment outcome: either achieving super-intelligence in mathematics or total failure. For 2025-2026, look for specialized labs that prioritize Reinforcement Learning and Post-training over expensive pre-training, as these models offer a more capital-efficient path to market. The most actionable shift for the next two years is toward Verified Code Generation, where AI provides mathematically proven, bug-free code rather than simple suggestions.

Detailed Analysis

Based on the interview with Hong Letong, founder of the AI startup Axiom, here are the investment insights and themes regarding the intersection of Artificial Intelligence and Mathematics (AI for Math).


Axiom (Startup)

Axiom is a frontier AI lab focused on "AI for Math," specifically using formal verification to solve complex mathematical problems. • The company recently achieved a $1.6 billion valuation (Unicorn status) after raising at least $200 million in its Series A round. • Key Personnel: The team includes high-profile AI and math talent, including Shubo (former Meta/Facebook AI) and Ken Ono (renowned mathematician and VP of the American Mathematical Society). • Core Technology: They developed the Axiom Prover, which recently solved 12 IMO (International Mathematical Olympiad) level problems with full marks, competing with Google DeepMind’s AlphaProof.

Takeaways

Binary Outcome Investment: The founder describes the company as having a "SpaceX-like" risk profile—it will either "land on the moon" by solving AGI-level reasoning or fail entirely. There is little middle ground. • Talent Density: Axiom is successfully "poaching" talent from OpenAI and Meta by offering a specialized focus on mathematics rather than general AGI, which appeals to pure researchers. • Efficiency over Brute Force: Unlike large language models that require massive internet scrapes, Axiom focuses on sample efficiency and synthetic data generation within the "Lean" theorem-proving environment.


AI for Math & Formal Verification (Sector)

• This sector focuses on moving AI from "probabilistic" (guessing the next word) to "deterministic" (proving a result is 100% correct). • Lean Language: A specialized programming language used for formalizing mathematics. It acts as both a language and a compiler that verifies if a proof is logically sound. • AlphaProof (Google DeepMind): Mentioned as a primary competitor that recently achieved a silver-medal level performance at the IMO.

Takeaways

Solving "Hallucinations": The biggest value proposition for investors in this sector is the elimination of AI hallucinations. In formal math, the system either proves the answer is correct or admits it cannot solve it; it cannot "lie." • Commercial Application: Beyond pure math, the technology is being positioned for Software Verification and Chip Design. Companies like Amazon (AWS) already have automated reasoning teams to ensure cloud security and hardware reliability. • The "AlphaGo Moment" for Reasoning: The transcript suggests we are currently in the "AlphaGo moment" for mathematical reasoning, signaling a shift from AI that "chats" to AI that "thinks" and "verifies."


Big Tech vs. Specialized Labs (Investment Theme)

Meta (META): Described as having a "bottom-up" culture where engineers have high autonomy. Many of Axiom's early employees are ex-Facebook. • Google (GOOGL): Described as "top-down." While they lead with DeepMind, specialized startups are attempting to move faster by focusing solely on the math niche. • OpenAI / Anthropic: While these giants focus on General Intelligence (AGI), specialized labs like Axiom believe that "Super Intelligence" (ASI) will actually be achieved first in specialized domains like Mathematics.

Takeaways

Vertical AI Advantage: There is a growing investment thesis that specialized "Vertical AI" companies (like those focusing only on Math or Biology) may develop deeper moats than general-purpose model providers because they control high-quality, specialized data loops. • The Cost of Training: Axiom explicitly avoids "Pre-training" (which costs hundreds of millions in compute) and focuses on "Post-training" and "Reinforcement Learning," suggesting a more capital-efficient path for AI startups.


Future Trends: 2025-2026

Multi-modal Reasoning: Expect models that can reason across different types of data (visual math, text, and formal code) to emerge from small labs soon. • Automated Scientists: The ultimate goal is an "AI Scientist" that can not only prove existing theorems but also propose new conjectures (mathematical hypotheses). • Verified Code Generation: A shift in the coding market where AI doesn't just suggest code, but provides "Verified Generation"—code that is mathematically proven to be bug-free before it is even run.

Takeaways

Investment Opportunity in Tooling: The founder notes that "Formal verification tooling" is currently underexplored and represents a significant opportunity for new ventures. • Shift in Labor: The role of the mathematician/engineer is shifting from "solving" to "problem definition" and "specifying" what the AI should prove.

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Episode Description
2026年,美国诞生了一系列的Neo Labs(新型研究室)。Neo Labs是近年兴起的一个新概念,专指由顶级AI研究者创立、以基础模型或新一代智能体系为目标、融资规模巨大、研究导向很强的一类新型AI实验室。我们133集的嘉宾,来自AMI Labs的谢赛宁是,今天我们邀请的是另外一位。 她是《商业访谈录》至今最年轻的一位嘉宾,是一位00后华人女孩,网络空间有人会叫她“数学少女”——她的名字是洪乐潼Carina,这是她第一次接受中文访谈。 她探索的方向是AI for Math,所创办的公司Axiom(公理)刚完成2亿美元的A轮融资,估值16亿美金。 而她引起很多人的关注,来自于这样一条新闻:57岁美国终身教授小野肯(Ken Ono)突然辞职,去给24岁的华人女孩打工。 我们谈论了许多数学与美、被创造的与被发现的数学、数学天书中的证明与公理、最不能的创业者的创业旅途,当然还有AI for Math。 接下来,是我对洪乐潼的访谈。 OUTLINE: 00:02:14 被创造的与被发现的 00:14:38 bounded vs free attention 00:32:14 对苦难上瘾 00:50:21 数论多美啊! 01:02:26 Verve Coffee 01:16:23 最不可能创业的创业者 01:38:33 没有人喜欢融资 02:07:17 小野肯的邮件 02:19:51 数学天书中的证明 02:24:38 Al for Math 03:03:50 把数学变成Lean 03:09:59 数学家的直觉 03:26:18 登月要么成功,要么失败 03:54:17 与数学家共进晚餐 LINKS: 我们的播客在小宇宙、Apple Podcast、Spotify等全音频平台播出; 我们的视频播客在Bilibili、小红书、视频号、抖音等全视频平台播出; 如果你想服用文字版,请搜索我们工作室的公众号:语言即世界language is world。 DISCLAIMER: 本内容不作为投资建议。 CONTACT: xiaojunzhang@lisw.ai Jump into the new world-and explore with us!😉
About 张小珺Jùn|商业访谈录
张小珺Jùn|商业访谈录

张小珺Jùn|商业访谈录

By 张小珺

努力做中国最优质的科技、商业访谈。 张小珺:财经作者,写作中国商业深度报道,范围包括AI、科技巨头、风险投资和知名人物,也是播客《张小珺Jùn | 商业访谈录》制作人。 如果我的访谈能陪你走一段孤独的未知的路,也许有一天可以离目的地更近一点,我就很温暖:)