The Importance of Conjecture

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"I have something now which nobody else in the world has i have a proof of first of all i did not it was not just a proof like in the case of fermi," he says. "It's called conjecture you know you make a statement you don't have a proof yet then you try to prove it and the answer was very nice so nobody knew as far as i could tellNobody knew because my teacher told me that he explored all the literature and this was not known."

Edward Frenkel is a mathematician at UC Berkeley working on the interface of mathematics and quantum physics. He is the author of Love and Math: The Heart of Hidden Reality. Please support this podcast by checking out our sponsors:
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OUTLINE:
Here’s the timestamps for the episode. On some podcast players you should be able to click the timestamp to jump to that time.
(00:00) – Introduction
(05:54) – Mathematics in the Soviet Union
(16:05) – Nature of reality
(27:23) – Scientific discoveries
(40:45) – Observing reality
(56:57) – Complex numbers
(1:05:42) – Imagination
(1:13:33) – Pythagoreanism
(1:21:28) – AI and love
(1:34:07) – Gödel’s Incompleteness Theorems
(1:54:32) – Beauty in mathematics
(1:59:02) – Eric Weinstein
(2:20:57) – Langlands Program
(2:27:36) – Edward Witten
(2:30:41) – String theory
(2:36:10) – Theory of everything
(2:45:03) – Mathematics in academia
(2:50:30) – How to think
(2:56:16) – Fermat’s Last Theorem
(3:11:07) – Eric Weinstein and Harvard
(3:18:32) – Antisemitism
(3:38:45) – Mortality
(3:46:42) – Love