Will AI Outsmart the Human Mind? | AfterMath Episode #3
23 min
In the third episode of his new series, AfterMath, Edward Frenkel dives into the question of whether computers can ever reach the cognitive capacity of the human mind -- specifically, in the realm of mathematics. While computers excel at number crunching, they struggle with general mathematical statements. Edward introduces the concept of the Turing Wall, a fundamental limit to what computers can do with numbers, named in honor of Alan Turing, the father of modern computing. Frenkel further explores insights from Alfred Tarski's Undefinability Theorem (closely connected to Kurt Gödel's Incompleteness Theorems). And he also touches upon the limitations of Large Language Models, such as ChatGPT, in handling mathematical truths. At the end of the episode, Frenkel goes back to the 3D sphere he talked about in Episode #2. He gives a 4D spacetime demonstration of it, using... a balloon. Edward Frenkel is a professor of mathematics at UC Berkeley, member of the American Academy of Arts and Sciences, winner of the Hermann Weyl Prize and the Euler Book Prize, and author of the international bestseller “Love and Math” which has been published in 20 languages. LINKS: • Edward Frenkel's Official Website: https://edwardfrenkel.com • Frenkel's X/Twitter: https://x.com/edfrenkel • Edward Frenkel's LinkedIn https://www.linkedin.com/in/edfrenkel/ • Edward Frenkel's Instagram: https://www.instagram.com/edfrenkel • Edward Frenkel's Facebook: https://www.facebook.com/edfrenkel/ • Edward Frenkel’s SoundCloud (DJ Moonstein): https://soundcloud.com/moonstein Tarski's Undefinability Theorem: https://en.wikipedia.org/wiki/Tarski%27s_undefinability_theorem Gödel's Incompleteness Theorems: https://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems Alan Turing's quote is from his report "Proposed Electronic Calculator" submitted to the Executive Committee of the National Physical Laboratory in February 1946, published as Chapter 20 of the book "Alan Turing's Automat...
