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테렌스 타오, 수학계 AI 전도사로 변신하다

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핵심 요약

천재 수학자 테렌스 타오는 자동화 증명 검사기를 통해 수학 문제를 작은 단위로 나누어 해결하고 조립하는 방식을 제안했습니다. 그는 2014년 이미 수학자들이 수백 명 단위로 협업하고 컴퓨터가 결과를 검증하는 미래를 예측하며, AI가 수학 연구의 새로운 패러다임을 열 것이라고 주장했습니다.

번역된 본문

테렌스 타오(Terry Tao)는 비전통적인 아이디어를 두려워하지 않는다. 2014년 11월, 그는 300만 달러의 상금이 수여되는 '브레이크스루 상(Breakthrough Prize)' 수상자 5명으로 구성된 패널에 참석했다. 수학이 발명인지 발견인지에 대한 논의에서 시작해, 우리가 디지털 시뮬레이션 속에 살고 있을 가능성에 대한 평가까지 대화는 다양했다. "네, 저는 우리가 실제로 존재하지 않는다고 생각합니다." 1990년대에 수학과 물리학의 교차점에서 가장 중요한 연구를 수행한 막심 콘체비치(Maxim Kontsevich)의 말이다.

하지만 40분간의 토론 중 가장 큰 회의론을 불러일으킨 발언은 타오의 것이었다. 그는 미래의 수학자들이 혼자서, 혹은 2~3명의 소규모 팀으로 일하는 대신, 한 번에 수백 명의 사람들과 함께 프로젝트를 수행할 수 있을 것이라고 예측했다. 그리고 이러한 협업이 끝나면, 결과는 인간 심사위원이 아니라 컴퓨터가 검증할 것이라고 겸손하고 담담한 어조로 말했다.

"언젠가 우리는 논문을 LaTeX가 아닌 다른 언어로 작성하게 될지도 모릅니다. 어떤 스마트한 소프트웨어가 이를 형식 언어(formal language)로 변환할 것이고, 가끔 컴파일 에러(compilation error)가 발생하여 컴퓨터가 특정 단계를 어떻게 도출했는지 이해하지 못한다고 알려줄 것입니다."

이 발언은 행사 사회자와 다른 수상자들에게 시뮬레이션 가설이 오히려 합리적으로 보일 만큼 터무니없는 것으로 여겨졌다. 수백 명의 수학자가 협업한다는 아이디어보다 더 놀라운 것은, 그러한 협업 방식이 타오에게 매력적으로 다가갈 것이라는 사실이었다. 왜냐하면 세상 누구보다 혼자 일하는 데 적합해 보이는 인물이 바로 그였기 때문이다.

타오는 1975년 호주 애들레이드에서 태어났으며, 그의 부모는 홍콩에서 호주로 이민 온 지 3년이던 때였다. 첫째 아들이 남다르다는 첫 징조는 일찍 나타났다. 타오가 2살이 되었을 때, 친구 집을 방문한 그의 부모는 6살짜리 아이들 여럿과 함께 모여 나무 블록으로 세는 방법을 보여주고 있는 아들을 발견했다. 어떻게 셈을 배웠느냐는 질문에, 그는 '세서미 스트리트(Sesame Street)'에서 보았다고 대답했다. 5년 뒤 7살이 된 타오는 미적분학을 배우기 시작했다.

1985년 봄, 3주 동안 타오의 부모는 그를 미국으로 데려갔다. 그곳에서 그는 당시 존스홉킨스 대학교(Johns Hopkins University)에 있던 '수학적 영재 연구(Study of Mathematically Precocious Youth)'의 책임자인 줄리안 스탠리(Julian Stanley)를 만났다. 스탠리는 타오를 평생 본 수학적 재능 중 가장 뛰어나다고 묘사했다. 그해 타오는 애들레이드를 방문한 저명한 수학자 폴 에르되시(Paul Erdős)를 만났다. 한 유명한 사진 속에는 72세의 할아버지 같은 에르되시가 무릎 위의 문서를 읽고 있고, 검은 머리털이 덥덥한 10살짜리 타오가 턱을 괴고 깊이 생각에 잠긴 채 바라보고 있는 모습이 담겨 있다.

타오의 어린 전설은 1986년 국제 수학 올림피아드에 참가하면서 더욱 커졌다. 그는 첫 해에 동메달을 획득하여, 10세의 나이로 해당 성적을 거둔 최연소 참가자가 되었다. 이후 2년 동안 그는 최연소 은메달리스트가 되었고, 마침내 금메달을 획득한 최연소 인물이 되었다. 그의 정규 교육도 비슷한 속도로 가속화되었다. 그는 15세의 나이에 애들레이드의 플린더스 대학교(Flinders University)를 졸업했다.

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Home How Terry Tao Became an Evangelist for AI in Math Comment Save Article Read Later Share Facebook Copied! Copy link Email Pocket Reddit Ycombinator Comment Comments Save Article Read Later Read Later computer-assisted proofs How Terry Tao Became an Evangelist for AI in Math By Kevin Hartnett June 8, 2026 With automated proof-checkers, a problem can be broken up into small chunks, solved bit-by-bit, then reassembled with confidence that every piece is correct. For some, this heralds a new area in mathematical research. Comment Save Article Read Later Introduction The following has been adapted from The Proof in the Code: How a Truth Machine Is Transforming Math and AI by Kevin Hartnett. T erry Tao has never been afraid of unconventional ideas. In November 2014, he was on a panel of five distinguished mathematicians, all inaugural recipients of the Breakthrough Prize in Mathematics, which came with a $3 million award. The laureates’ conversation ranged from whether mathematics is invented or discovered — most of the mathematicians agreed that, at the very least, it feels like an act of discovery — to an assessment of the odds that we’re living in a digital simulation. “Yeah, I think we’re actually not real,” said Maxim Kontsevich, who did his most important work in the 1990s at the intersection of math and physics. Yet over the course of the 40-minute discussion, the statements that drew the most incredulity were Tao’s. He predicted that in the future, instead of working alone or in small teams of two or three, mathematicians might work on projects with hundreds of other people at a time. And when these collaborations were over, he said — in his modest, understated way — the results might be checked not by human referees but by computers. “One day we may actually write our papers not in LaTeX, but in some language which some smart software will convert to a formal language, and every so often you’ll get a compilation error — the computer does not understand how you derived this step,” he said. The statement was greeted by the event moderator and the other laureates as preposterous enough to make the simulation hypothesis seem reasonable by comparison. Even more surprising than the idea of hundreds of mathematicians working together was the fact that such a collaboration would appeal to Tao — because if anyone in the world seemed well suited to going it alone, it was him. Tao was born in 1975 in Adelaide, Australia, three years after his parents immigrated to the country from Hong Kong. The first signs that their firstborn son was different came early. When Tao was 2 and his family was visiting friends, his parents found him gathered with several 6-year-olds, demonstrating how to count using wooden blocks. Asked how he’d learned to count things, he responded that he had seen it on Sesame Street . Five years later, when Tao was 7, he began learning calculus. For three weeks in the spring of 1985, Tao’s parents brought him to the United States, where he met with Julian Stanley, director of the Study of Mathematically Precocious Youth, then at Johns Hopkins University. Stanley described Tao as having the greatest mathematical ability he had ever seen. That same year Tao met the acclaimed mathematician Paul Erdős during the latter’s visit to Adelaide. A famous picture shows the grandfatherly Erdős, 72 at the time, reading a document in his lap while Tao, 10 years old with thick black hair, looks on intently, fingers raised thoughtfully to his chin. Tao’s young legend grew when he entered the International Math Olympiad in 1986. He won a bronze medal that first year, becoming, at the age of 10, the youngest competitor ever to achieve that result. In the two succeeding years he became the youngest-ever silver medalist and finally the youngest person ever to win a gold medal. His formal education proceeded at a similarly accelerated pace. He graduated from the local Flinders University in Adelaide when he was 15 and, in the fall of 1992, boarded a plane with his father for New Jersey, where he started a Ph.D. in math at Princeton University. Erdős had endorsed Tao’s early admission to the program, writing in a letter of recommendation, “I am sure he will develop into a first-rate mathematician and perhaps into a really great one.” Erdős was right. By the time Tao was 24, he had made enough new discoveries to have his choice of permanent faculty positions; he ultimately decided to settle at the University of California, Los Angeles. Around that time, he met a young English number theorist named Ben Green. The two began collaborating on a proof that certain kinds of patterns called arithmetic progressions — in which the numbers in a set increase by a fixed interval, like 7, 10, 13, 16 — inevitably appear in large collections of prime numbers, despite the fact that primes appear to be scattered randomly along the number line. Their proof would become the signature result of Tao’s early career, contributing to his winning the Fields Medal in 2006, and propelling him to the upper echelons of mathematics. T ao could have built a successful career without collaborating with anyone, but that’s not the way he liked to work. He viewed working with other researchers as a primary way to discover new ideas — take what you know, pair it with what I know, and see what happens. This approach led Tao’s mathematical research to range over an unusually broad set of topics, from analytic number theory, including the Green-Tao theorem about prime numbers, to analysis, where he studied properties of the Navier-Stokes equations that describe the behavior of fluids, to algorithms for constructing MRI images from digital data. (The MRI collaboration developed during conversations Tao had with Emmanuel Candès, a statistician then at the California Institute of Technology, while they were both dropping off their kids at preschool.) This thirst for collaborative discovery also led Tao to do a lot of his work in public. In 2007, he started a blog , where he began publishing regular updates about his research. By that point, Tao was one of the most famous mathematicians not only in his field but in the world. His posts received a lot of attention and sometimes led to long exchanges in the comments section, where Tao enthusiastically participated. He did it because he found it fun, and because he hoped the conversation might generate new ideas. Around that time, another early math blogger had a similar thought. Like Tao, Timothy Gowers was a prominent research mathematician with a taste for public exchange. But rather than trusting serendipity to strike in his blog’s comment section, Gowers wanted to channel public energy in a focused way. In January 2009, he published a blog post announcing his desire to facilitate a new kind of “massively collaborative mathematics.” He would propose a problem in an open online forum, and “anybody who had anything whatsoever to say about the problem could chip in.” He named it the Polymath Project. Tao jumped in. Like Gowers, he understood that some math problems were more amenable than others to being solved through large-scale collaboration. The key, as Tao wrote in a comment on Gowers’ initial post, was to find problems that could “generate a number of simpler sub-problems … which can largely be worked on in parallel.” By breaking big problems into individual cases, different teams or individuals could work on their own and then assemble their results as pieces of a bigger whole. At the same time, Tao knew that perhaps the biggest challenge with the Polymath model would be organizing: moderating contributions and checking to make sure that all the contributions were correct. For the first Polymath project, Gowers proposed improving a result called the Hales-Jewett theorem, which was about patterns that appear when you shade cells in a grid with one of two different colors. After a few months of work, coordinated through thousands of comments by do