Terence Tao, a distinguished mathematician and Fields Medalist, discusses the impact of artificial intelligence on the future of mathematics in this lecture.
Drawing a comparison between the age of AI and the “foundational crisis” in mathematics, Tao emphasizes that today’s challenges are not merely technical, but also involve metamathematical, ethical, and educational considerations.
In his view, AI may be capable of producing highly complex mathematical proofs, but the key question is whether such proofs will remain understandable and communicable to human mathematicians.
Tao cautions against allowing artificial intelligence to replace fundamental skills and mathematical education. He also suggests that traditional structures of mathematical research and peer review may not be adequate for an era of abundant AI-generated mathematical results and may therefore need to be reconsidered.
Overall, the lecture is an invitation to rethink the role of humans, the purpose of mathematics, and the appropriate boundaries for the use of artificial intelligence in mathematical science.