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Why Study Math? UC Berkeley Professor Edward Frenkel



Dr Brian Keating

#EdwardFrenkel #LanglandsProgram #MathematicalPhysics
Edward Frenkel’s latest book Love and Math, a New York Times bestseller, was named one of the Best Books of the year by both Amazon and iBooks, and won the Euler Book Prize from the Mathematical Association of America. The book reveals a side of math seldom seen, suffused with all the beauty and elegance of a work of art. Mathematics, he writes, directs the flow of the universe, lurks behind its shapes and curves, holds the reins of everything from tiny atoms to the biggest stars. Love and Math is also about accessing a new way of thinking, which empowers us to better understand the world and our place in it. It is an invitation to discover the hidden magic universe of mathematics.

Edward Frenkel is Russian born and overcame a discriminatory educational system to become one of the twenty-first century’s leading mathematicians. He is a professor of mathematics at the University of California, Berkeley, which he joined in 1997 after being on the faculty at Harvard University. He is a member of the American Academy of Arts and Sciences, a Fellow of the American Mathematical Society, and the winner of the Hermann Weyl Prize in mathematical physics. Frenkel has authored 3 books and over 90 scholarly articles in academic journals and is an electronic music aficionado.

Frenkel’s research is on the interface of mathematics and quantum physics, with an emphasis on the Langlands Program, which he describes as a Grand Unified Theory of mathematics.
twitter.com/edfrenkel
www.edwardfrenkel.com
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00:00:00 Intro
00:01:56 The story of the book title and cover
00:09:00 Why is math so effective in physics and explaining the nature of reality?
00:11:30 The double-edged sword of mathematics: it can build cathedrals AND bombs
00:12:45 Is mathematics the language of nature?
00:15:05 Lord Kelvin, the Michelson Morley Experiment and the implications for math and physics.
00:16:24 What’s left to discover and what are your motivations to pursue math?
00:18:30 Paradoxes in physics and math
00:23:25 Can you discover new physics from mathematics alone?
00:27:00 Could there be different mathematics in different universes?
00:41:00 Is math invented or discovered?
00:48:50 How can an AI have a “happy” thought, relate to physical sensations, or create original inventions? What are the implications for free will?
00:53:40 Love or math choose one!

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45 thoughts on “Why Study Math? UC Berkeley Professor Edward Frenkel
  1. I think so, but I also believe that there must be a considerable amount of universal momentum at which gives us the energy density to exist. Thus we are backed by curvature among uncertainty I suppose.

  2. I don’t think that computers inherently are incapable of creativity, I just think that our ability to transfer angular momentum into computers is limited by our own understanding and inability to perform measurements among a chain reaction using very complex algorithms.

  3. I knew when he mentioned his love of Van Gogh that I would enjoy this video. I really liked Dr. Frenkel's humbly saying that learning and grasping new things shouldn't cause us to think that we don't have much more to learn. I agree. I think that even if a person lives forever, he or she will never become bored; there will always be much more to learn. Good job as always!

  4. I'm not a maths geek(no offense lol) and maybe there are features of maths that address these questions, but how can mathematics be the language of nature in any transcendental sense? Mathematics doesn't have an axiomatic sense of time built into it, to order operations and produce consistent logic. That's just taken for granted from empirical reality that things are temporally ordered. That is, it's physical reality that is imbuing mathematics with a reliable cause and effect temporal order to underpin its logic. Similarly mathematics doesn't axiomatically provide a space for information to exist to be contained and mathematically elaborated. That too is just taken for granted from the empirical reality we can move information about according to laws of nature. Sure after the fact mathematics can circularly explain aspects of space,time and information reality, but without the implicit features of reality like time, space, unitarity etc we use to coherently and robustly map and manipulate ideas by and which mathematics takes for granted, what does mathematics even mean?

  5. One of my favorite mathematicians. He embodies in his being the Langlands program in a profound way, incorporating the physical with the metaphysical in a way which retains the joy of there always being uncertainty. Yes “Love and math”. Awesome holiday present Prof Brian. Thanks. 🎉

  6. The future belongs to those gifted individuals who see the potential of combining two disparate advanced subjects and come up with a new perspective.

  7. I believe that the dilemma between love and mathematics can be resolved in this practical, although perhaps somewhat simplistic way: when you have all the data, reason and logic, when you don't, intuition and emotions.

  8. Non commutative algebra reveals the real nature of physis. When AB-CD is not zero, but equal to a non zero term like ihH you are in the quantum realm. Or else you are in the classical realm.

  9. I don't know about this one.
    Dr Keating this guy doesn't even know what a circle is. (this is very funny joke for somebody who read love & math)
    Really big fan of both you guys.

  10. “Only connect! That was the whole of her sermon. Only connect the prose and the passion, and both will be exalted, and human love will be seen at its height. Live in fragments no longer.” ― E.M. Forster, Howards End.

  11. The claims about discriminatory educational system are not credible. I've personally known many individuals (including Jewish like Frenkel) from that system who deny existence of alleged discrimination.

  12. The book of Nature as representation of it is written in language of mathematics, but is Nature as is mathematical or is mathematics only an interpretation ?

  13. In a different universe, if I drew a straight line in a rotating circle, imagine if the tracing extended throughout time, if an observer is on the outside while they observe and they only saw the tracing of my drawing within units of a full revolution… but the observer cannot see what happens within the revolution. Only a full revolution. What would the observer on the outside see?

    The observer would not see a straight line, they would see a circle. It’s called the circumference across the diameter….. if you lived in a different universe with different structures of circles then the observer would be a different ratio.

  14. Fulminar a los del Opus dei, crecidos y cuidados en el seno de la iglesia, cada uno ofrece lo que es. Son gente a la que aislar por MACABROS y torturadores de mujeres y frágiles con un único fin, la dominación y el poder sin ningún tipo de finalidad universal. Gente indeseable para nuestra civilización avanzada y racional.

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