Terence Tao is widely considered to be one of the greatest mathematicians in history. He won the Fields Medal and the Breakthrough Prize in Mathematics, and has contributed to a wide range of fields from fluid dynamics with Navier-Stokes equations to mathematical physics & quantum mechanics, prime numbers & analytics number theory, harmonic analysis, compressed sensing, random matrix theory, combinatorics, and progress on many of the hardest problems in the history of mathematics.
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Transcript:
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EPISODE LINKS:
Terence&#8217;s Blog: <a href="https://terrytao.wordpress.com/">https://terrytao.wordpress.com/</a>
Terence&#8217;s YouTube: <a href="https://www.youtube.com/@TerenceTao27">https://www.youtube.com/@TerenceTao27</a>
Terence&#8217;s Books: <a href="https://amzn.to/43H9Aiq">https://amzn.to/43H9Aiq</a>
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OUTLINE:
(00:00) &#8211; Introduction
(00:36) &#8211; Sponsors, Comments, and Reflections
(09:49) &#8211; First hard problem
(15:16) &#8211; Navier–Stokes singularity
(35:25) &#8211; Game of life
(42:00) &#8211; Infinity
(47:07) &#8211; Math vs Physics
(53:26) &#8211; Nature of reality
(1:16:08) &#8211; Theory of everything
(1:22:09) &#8211; General relativity
(1:25:37) &#8211; Solving difficult problems
(1:29:00) &#8211; AI-assisted theorem proving
(1:41:50) &#8211; Lean programming language
(1:51:50) &#8211; DeepMind&#8217;s AlphaProof
(1:56:45) &#8211; Human mathematicians vs AI
(2:06:37) &#8211; AI winning the Fields Medal
(2:13:47) &#8211; Grigori Perelman
(2:26:29) &#8211; Twin Prime Conjecture
(2:43:04) &#8211; Collatz conjecture
(2:49:50) &#8211; P = NP
(2:52:43) &#8211; Fields Medal
(3:00:18) &#8211; Andrew Wiles and Fermat&#8217;s Last Theorem
(3:04:15) &#8211; Productivity
(3:06:54) &#8211; Advice for young people
(3:15:17) &#8211; The greatest mathematician of all time
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#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

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