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The Math Professor with UNIQUE Opinions || Doron Zeilberger

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An indepth interview with Doron Zeilberger giving his unique perspective.

Infinity is nonsense! Human reasoning will become trivial for computers in 20 years. Mathematics must be experimental science again!
These are just a few of the unique opinions of prof. Zeilberger.

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01:19 The mathematical work of Zeilberger combinatorics, special functions. experimental mathematics.
04:10 Mathematics, unfortunately, is still under the influence of Euclid
05:44 Example of a simple experimental math proof
07:48 Publishing papers with your computer?! Do computers deserve such a big credit?
11:49 Thoughts on ChatGPT and AlphaZero
13:37 Would it be more difficult for computers to produce combinatorial proofs compared to algebraic proofs?
15:36 Are good programmers good teachers (and vice versa)?
16:34 Why is infinity a religious dogma?
21:15 Why are sqrt of 2 and Pie NOT numbers?
24:08 The paradoxes (i.e., BanachTarski), if accepting infinity (+ Israel and Hamas are equally bad).
26:08 The good kind of Computational Complexity.
26:53 Igor Pak, the class #P and combinatorial proofs.
28:24 Working on more applied topics + advice to the young students.
29:41 I love to hate G.H.Hardy (for his views)
32:35 The Fields Medals or the Abel Prize?
33:35 Why is Formalism and Bourbakism so bad in mathematics?
34:53 What is Mathematical Snobbism?
35:45 But is mathematical formalism never needed?
36:37 Comment on the “Math is part of physics” quote by Arnold
https://www.math.fsu.edu/~wxm/Arnold....
37:21 Famous open problems. Why is Riemman hypothesis cool?
38:14 How to pick problems to work on?
38:46 The most beautiful formula in math https://arxiv.org/abs/1208.2258
39:30 Zeilberger’s Opinions and provoking by them
40:32 Zeilberger always likes the underdogs
41:02 A game with memories from famous mathematicians:
41:17 Memories from Paul Erdos
43:01 Memories from John Nash
45:37 Memories from Gian CarloRota
46:16 Memories from Adriano Garsia
46:41 Memories from Freeman Dyson
48:21 Have you met Terence Tao?
48:32 Have you met Timothy Gowers?
48:56 Religious Beliefs of prof. Zeilberger
51:18 How to immortalize yourself?
52:35 Last words: keep up the good work!

Other Links:
1. Opinions of Doron Zeilberger: https://sites.math.rutgers.edu/~zeilb...
2. Good discussion on the infinity w/ Norman Wildberger    • Math Debate: Real numbers and the inf...  
3. Is there a formal foundation for ultrafinitism https://mathoverflow.net/questions/44...
4. The ingenious 1page paper of David Lubell proving the Sperner’s lemma https://sites.math.rutgers.edu/~zeilb...

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