- Introduction
- First hard problem
Hong Wang has proven the three-dimensional Kakeya conjecture, a major breakthrough in geometric measure theory. Of course Terence Tao laid the groundwork for Hong Wang’s proof. The picture in the background at is Hong Wang.
Video length chosen strategically for the mathematician guest.
@lexfridman question ❔❓⁉️👈🏽If you’ve never been introduced to the word coined mathematician……or the word…I WOULD understand “SOLUTION” to “YOUR PROBLEM PRESENTED .” 😊😊 INCLUDING THE METEIC SYSTEM USED. (1)
As someone who has their undergrad in mathematics I wanted to watch this and time myself how long I make it before I am completely lost.So less than ten minutes...
Lex face says it all hahaha
@lexfridman question ❔❓⁉️👈🏽If you’ve never been introduced to the word coined mathematician……or the word…I WOULD understand “SOLUTION” to “YOUR PROBLEM PRESENTED .” 😊😊 INCLUDING THE METEIC SYSTEM USED. (2)
- Navier–Stokes singularity
is a beautiful picture. Thanks Lex. What a great problem list. I wondered about the singularity and Poincare Conjecture because as water approaches heat and light, it intensifies its velocity towards it (like gravity) and then converts to steam and travels away which would be in state transition which might be asymptotic singularity.
that object out maxwell dmon
“so your trying to make it blow up”
Law of reduction!
"water punk"aka terence tao anime fan confirmed with a steamboy referenceomg and he thanked his wife...what a lovely person terence tao is
sounds like a human to me 😊
Lex Face represent face of everyone listening ^^
lex's face represents us all, "hmm, is he really smart or am i really dumb?"
Narrator in the 22nd century: "Unfortunately, the technology was way too primitive in Prof. Tao's time, but he is nevertheless regarded as the father of the water computer."
a LITERAL pipe dream
- Game of life
- does vortex behavior in liquid helium help to puzzle this out?i thought i remembered something about that.also, can a Bose Einstein condensate have a vortex?
wait, the digits of Pi and the time of this video 💪
@ If you move the prime gaps, which are all of the numbers between primes, the negative space onto a radius, and you circle the radii, the torque geometry rises organically within primes and composite quantities.
- Infinity
- Math vs Physics
I would replace observations with interactions.
terence tao knows about the hans emotional support plug meme in chess confirmed
- Nature of reality
Lex got called out for his plagiarism line...quick 😂😂
"As above, so below."
“I identify mostly as a fox”Furries:“Same”
Do you think he understands how utterly insane it is to be able to one-shot someone else's proof that you don't understand that uses maths you don't know?
print Dyck paths?
- Theory of everything
- General relativity
- Solving difficult problems
solving difficult math problem is similar to divide and conquer
- AI-assisted theorem proving
at
They really did Terence dirty with the subtitles at 🤣
- Lean programming language
Only 22million that's easy but you will not solve with that diagram! You will need to redefine "=" 🤨🤔
- DeepMind's AlphaProof
Coq is actually called Rocq now
- Human mathematicians vs AI
This guy really doesn’t want to know a machine can beat him already 😂
bit of a wink and a nod from lex here?
- AI winning the Fields Medal
- Grigori Perelman
- Twin Prime Conjecture
Even Lex can't keep up at
- Collatz conjecture
- P = NP
- Fields Medal
‘ respect too 🎉
- Andrew Wiles and Fermat's Last Theorem
- Productivity
I’ve had this exact same thought which I thought was pretty obvious, but maybe it was a stroke of genius on my part from an otherwise very stroke filled brain
- Advice for young people
Lex Fridman []:"What advice would you give in general to young people how to pick a career? How to find themselves?"
Terence Tao []:"That's a tough tough tough question.""There's alot less certainty in the world.""I think you just have to be adaptable and flexible.""I think people have to get skills that are transferable.""Like learning one specific programming language or one specific subject of mathematics or something.""That itself is not a super transferable skill, but sort of knowing how to reason with abstract concepts or how to problem solve when things go wrong.""So these are things which I think we will still need.""Even as our tools get better and you would be working with AI and so forth."
'voluntold' 🤣 even the best mathematician in the world can't really decide always how he uses his time
- The greatest mathematician of all time
Lex Fridman []:"There's some strange power to the declaring which problems are hard to solve. The statement of the open problems."
Terence Tao []:"Yeah.""This is bystander effect everywhere.""If no one says you should do X, everyone just moves around waiting for somebody else to do something and nothing gets done.""One thing that you have to teach undergraduates in mathematics is that you should always try something.""So you see alot of paralysis in an undergraduate try a math problem.""If they recognize there's a certain technique that can be applied, they will try it, but there are problems for which they see none of their standard techniques obviously applies and the common reaction is just paralysis.""I don't know what to do.""There's a quote from Simpsons: I've tried nothing and I'm all out of ideas.""So the next step then is to try anything no matter how stupid.""In fact almost as stupid the better.""Which is almost guaranteed to fail, but the way it fails is going to be instructive.""It fails because you're not at all taking into account this hypothesis.""Oh this hypothesis must be useful, that's a clue."
Lex Fridman []:"I think you also suggested somewhere this fascinating approach which really stuck on me, I started using it and really works.""I think you said it's called structured procastination.""It's when you really don't want to do a thing.""You imagine a thing you don't want to do more.""That's worse than that.""And then in that way, you procrastinate by not doing the thing that's worse."
Terence Tao []:"Yeah. Yeah.""Psychology is really important.""You talk to athletes like marathon runners and so forth and they talk about the most important thing, the training regime or the diet and something.""So much of it is psychology.""Tricking yourself to think the problem is feasible, so you're motivated to do it."
Calabi Ross Yau Protocol of Time
Missed opportunity to have a podcast last first 5 digits of pi
You couldn’t edit it to ?
damn! why not the pod length is sec?
missed opportunity to make the video length :(
Should be (if rounding due to precision limitation)
Looks like it's soo not a coincidence, maybe your mind jumps to conclusions most unscientifically. You jackass
