What Terence Tao thinks about AI and science
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12 dated positions, 2025 to 2026, in their own words. Our reading of what Terence Tao has said — not written or endorsed by them.
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Their wordsDespite these strides, we argue that current AI4Math systems still largely operate as solvers, excelling at isolated, well-defined proof generation rather than as researchers capable of expanding the boundaries of mathematical knowledge.
↗From Solvers to Research: Large Language Model-Driven Formal Mathematics at the Research Frontier (with 18 co-authors)arxiv.org All 4 from this paper
- 4 months earlier
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Their wordsSo, I think AI has basically driven the cost of idea generation down to almost zero in a very similar way to how the internet drove the cost of communication down to almost zero, which is an amazing thing, but it you know, it it it doesn't make it doesn't create abundance by itself.
↗Terence Tao – How the world’s top mathematician uses AIyoutube.com 1st of 24 in this recording
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Their wordsSo, we're now in a situation where suddenly people can generate thousands of theories for a given scientific problem. And now we have to to verify them, evaluate them and this is something which we we have to to change our structures of science to actually sort this out.
↗Terence Tao – How the world’s top mathematician uses AIyoutube.com 2nd of 24 in this recording
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Their wordsYeah, so they excel at breadth and humans excel at depth. Um like human experts at least. Yeah, so um I think they're very complementary. Um but our current uh way of doing math and science is focused on depth because that that's where the human uh expertise cuz humans can't do breadth.
↗Terence Tao – How the world’s top mathematician uses AIyoutube.com 7th of 24 in this recording
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Their wordsSo, they they they still make mistakes, but but um um I've I've tested these tools, you know, on on on on um like little tasks that I can do and and sometimes they pick up errors I make, sometimes I pick up errors that they make. It's it's about a tie right now.
↗Terence Tao – How the world’s top mathematician uses AIyoutube.com 9th of 24 in this recording
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Their wordsUh but whenever we do a systematic study, um any given problem, an AI tool has a success rate of maybe 1 or 2%. Uh it's just that it's just that they can apply at scale and and you just pick the winners, it looks great.
↗Terence Tao – How the world’s top mathematician uses AIyoutube.com 12th of 24 in this recording
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Their wordsUh yeah, so it's it's made papers sort of richer and broader, but not necessarily deeper.
↗Terence Tao – How the world’s top mathematician uses AIyoutube.com 14th of 24 in this recording
- 9 months earlier
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Their wordsYeah, these are great work that shows what's possible. The approach doesn't scale currently. Three days of Google's server time can solve one high school math format there. This is not a scalable prospect, especially with the exponential increase as the complexity increases.
↗Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI | Lex Fridman Podcast #472youtube.com 7th of 20 in this recording
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Their wordsVery rarely do you transform into a simpler problem. So if they can pick up a sense of smell, then they could maybe start competing with a human level of mathematicians.
↗Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI | Lex Fridman Podcast #472youtube.com 8th of 20 in this recording
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Their wordsThere are certainly math results which could only have been accomplished because there was a human authentication and an AI involved, but it's hard to disentangle credit. I mean, these tools, they do not replicate all the skills needed to do mathematics, but they can replicate some non-trivial percentage of them, 30, 40%, so they can fill in gaps.
↗Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI | Lex Fridman Podcast #472youtube.com 10th of 20 in this recording
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Their wordsYeah, this decade I can see it making a conjecture between two things that people would thought was unrelated.
↗Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI | Lex Fridman Podcast #472youtube.com 11th of 20 in this recording
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Their wordsThe dream is you just feed it all this data, and this is here is a new patent that we didn't see before, but it actually, even the current state of the art even struggles to discover old laws of physics from the data.
↗Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI | Lex Fridman Podcast #472youtube.com 12th of 20 in this recording