#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

In this episode of the Lex Fridman Podcast, Lex interviews Terence Tao, a highly regarded mathematician, discussing a range of complex mathematical concepts and their applications. Tao elucidates challenging problems like the Navier-Stokes equations, the Twin Prime Conjecture, and the Riemann hypothesis, offering insights into his approaches to problem-solving, the role of AI in mathematics, and the interplay between theory and experiment. The conversation also explores the nature of mathematical beauty, the importance of collaboration, and the balance between structure and randomness in mathematical discovery, providing a glimpse into Tao's unique perspective on the field and its future.