Загрузка видео...

Не удалось загрузить видео

На главную

🚨 FULL CONVERSATION Fields medalist Terry Tao sits down with Math Inc's Jesse Michael Han and Jared Duker Lichtman for a conversation on the future of mathematics. "I got convinced that this was the future of mathematics [...] It's a different style of writing proofs that actually is in...

337,383 просмотров • 8 месяцев назад •via X (Twitter)

Комментарии: 34

Фото профиля Math, Inc.
Math, Inc.8 месяцев назад

Watch the full conversation on YouTube:

Фото профиля Cris Parilo
Cris Parilo8 месяцев назад

@paulg @jessemhan @jdlichtman New tools widen the craft. Taste still decides what matters.

Фото профиля DULA
DULA8 месяцев назад

@jessemhan @jdlichtman The Riemann Hypothesis last breath! 🪦

Фото профиля Jeycosmos ⚔️
Jeycosmos ⚔️8 месяцев назад

@jessemhan @jdlichtman math's just getting started, can't wait to see what’s next

Фото профиля Jin Woo
Jin Woo8 месяцев назад

@jessemhan @jdlichtman The evolution of math sparks new horizons ahead.

Фото профиля Zachary.ETH
Zachary.ETH8 месяцев назад

@jessemhan @jdlichtman wild shift

Фото профиля Prateek Joshi
Prateek Joshi8 месяцев назад

@jessemhan @jdlichtman This is phenomenal.

Фото профиля 0xHarding
0xHarding8 месяцев назад

@jessemhan @jdlichtman Wild to think proof-checking might shift from human grind to full-on system synergy. Big doors opening for the craft.

Фото профиля Nora🌸
Nora🌸8 месяцев назад

@jessemhan @jdlichtman math inc is shaping the future of mathematics

Фото профиля Morgan | Alpha Hunter
Morgan | Alpha Hunter8 месяцев назад

@jessemhan @jdlichtman Proofs bout to start reading like code, kinda unreal to picture it

Фото профиля 0xPiquis.ETH
0xPiquis.ETH8 месяцев назад

@jessemhan @jdlichtman math is scaling

Фото профиля 0xww
0xww8 месяцев назад

@jessemhan @jdlichtman Exploring new methods in mathematics opens endless possibilities ahead.

Фото профиля Karyn
Karyn8 месяцев назад

@jessemhan @jdlichtman Mathematics future: clear proofs, easier to read, broader mathematician definition.

Фото профиля Dac vu
Dac vu8 месяцев назад

@jessemhan @jdlichtman really interesting how new proof styles could change who we see as mathematicians. broadening the field is exciting

Фото профиля 0xLenx
0xLenx8 месяцев назад

@jessemhan @jdlichtman Mathematical future holds exciting changes in communication methods.

Фото профиля Readlee NFTKING
Readlee NFTKING8 месяцев назад

@jessemhan @jdlichtman proofs evolving feels like the art form finally catching up to its own imagination

Фото профиля Ares
Ares8 месяцев назад

@jessemhan @jdlichtman proofs go liquid

Фото профиля Kevin
Kevin8 месяцев назад

@jessemhan @jdlichtman Second fields medal plus Turing Award right away

Фото профиля xdiep4474.eth
xdiep4474.eth8 месяцев назад

@jessemhan @jdlichtman machine-verified proofs as collaborative math primitives

Фото профиля 0xww
0xww8 месяцев назад

@jessemhan @jdlichtman Mathematics evolves, new methods enhance understanding and collaboration expands.

Фото профиля René
René8 месяцев назад

@jessemhan @jdlichtman Interesting interview & predictions ... and error rate cliffhanger!

Фото профиля Karyn
Karyn8 месяцев назад

@jessemhan @jdlichtman The evolution of mathematics entails newfound perspectives and methodologies.

Фото профиля Dina
Dina8 месяцев назад

@jessemhan @jdlichtman proofs bout to get a glow up

Фото профиля Nhung🐰
Nhung🐰8 месяцев назад

@jessemhan @jdlichtman mathematician++ incoming

Фото профиля 0xPanda0x
0xPanda0x8 месяцев назад

@jessemhan @jdlichtman Proofs gonna hit different now

Фото профиля Karyn
Karyn8 месяцев назад

@jessemhan @jdlichtman The evolution of mathematics through innovative proof representations and concepts.

Фото профиля DragonFi🛡
DragonFi🛡8 месяцев назад

@jessemhan @jdlichtman Yea seeing proofs evolve like this gonna change the whole game for sure

Фото профиля WilcosX.eth
WilcosX.eth8 месяцев назад

@jessemhan @jdlichtman math codebase era incoming

Фото профиля Be-my-friend
Be-my-friend8 месяцев назад

@jessemhan @jdlichtman Interesting to see how these discussions evolve over time; math's direction keeps shifting.

Фото профиля 0xww
0xww8 месяцев назад

@jessemhan @jdlichtman Tao predicts a shift in mathematics towards transparent proofs.

Фото профиля Keng
Keng8 месяцев назад

@jessemhan @jdlichtman math inc is secretly based

Фото профиля Duc Crypto
Duc Crypto8 месяцев назад

@jessemhan @jdlichtman Proofs getting more computational, mathians gonna love it

Фото профиля nany.eth
nany.eth8 месяцев назад

@jessemhan @jdlichtman feels like once proofs go fully structured the whole game shifts new players, new pace, new frontier

Фото профиля James skinner
James skinner8 месяцев назад

@jessemhan @jdlichtman 흥미롭네요ㅎ

Похожие видео

AI is changing the software engineering craft. Anders Hejlsberg (Anders Hejlsberg) - creator of C#, TypeScript and industry legend - on why code review needs to get more enjoyable in response: #1 - AI is shifting the craft from writing code, to reviewing code: "In a sense, we're all turning into project managers. We can have an army of junior programmers, called agents, that will just spit out reams of code but someone's got to have the big picture and review all of that. And so, increasingly, our craft is going from one of writing the code, to one of reviewing the code and building the architecture of the code and overseeing the work. It's a different kind of craft. It's a different kind of enjoyment. I've always liked writing the code. To me that was the fulfilling part, seeing it work. In a way, AI robs a little bit of that, because I am less interested in reviewing code." #2 - The code review experience should be improved: "I think we could also make the process of reviewing code much more interesting than it is today. I mean, today, you see a list of diffs in alphabetical order and now it's up to you to make heads or tails of it. There are more pedagogical ways of presenting that. And you could have commentary generated by the AI that tells you what the changes are and whatever, and then tries to guide you along. So that symbiotic relationship, I think we need to work on that more and to keep the enjoyment in there."

The Pragmatic Engineer

39,073 просмотров • 4 месяцев назад

Axiom Math's Carina Hong on why verification isn't about catching mistakes, it's how you drive the cost of a proof to zero: "Formal verification is going to make your life slightly better if you're facing a proof with one million lines. Remember the Erdős unit distance problem, the chain of thought being generated? There are actual mathematicians trying to follow it step by step and scrutinize it. That seems very difficult if you're not in that very niche domain of discrete geometry intersecting with algebraic number theory." "But if you have a Lean proof accompanying it, you can just run it. And running the Lean proof gives you that provable guarantee that this proof is sound." "I have a hot take. People think Lean is this library built on the existing Mathlib. I think it's going to grow significantly. A lot of the hurdles where Lean is difficult is that the basic definitions of some mathematical fields are just not in the library." "My hot take is the scaling law, if you go down the formal mathematics path, is going to be a lot steeper than informal mathematics. So it's not just for verification, for trust, it's also for performance, it's also for optimal generation." "Verification is not like insurance. It's not something where, oh, we want to make sure there's no flaw. That's great, but it also helps you generate mathematics, both proofs and conjectures and theories, a lot better." "So imagine the cost of proof goes to zero. Then you can massage the problem statements, and even if it's an open problem, a lot more easily, flexibly, and adaptively." Carina Hong Axiom

MTS

13,324 просмотров • 1 месяц назад

Terence Tao: "Previously, you needed a PhD to contribute to math research. Now a high school student can." Dwarkesh asks the world's most famous mathematician: what's your advice for someone considering a career in math, especially in light of AI progress? Tao is honest about uncertainty: "We live in a time of change. A particularly unpredictable era. Things that we've taken for granted for centuries may not hold anymore. The way we do everything... not just mathematics... will change." He admits his preference: "In many ways, I would prefer a much more boring, quiet era where things are much the same as they were 10 or 20 years ago. But one just has to embrace this. There's going to be a lot of change. The things you study... some of them may become obsolete or revolutionized. But some things will be retained." On new opportunities: "Previously, you had to go through years and years of education and get a math PhD before you could contribute to the frontier of math research. But now it's quite possible at the high school level that you could get involved in a math project and actually make a real contribution... because of all these AI tools and Lean and everything else." His advice: "There will be a lot of non-traditional opportunities to learn. You need a very adaptable mindset. There'll be worth pursuing things just for curiosity and for playing around. Still go through traditional education and learn math and science the old-fashioned way for a while... credentials will still be important. But you should also be open to very, very different ways of doing science. Some of which don't exist yet." He concludes: "It's a scary time. But also very exciting."

Jaynit

77,698 просмотров • 4 месяцев назад