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Atmrix

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Atmrix

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TT

Terence Tao

06/15/25

@ Lex Fridman

In mathematics, we often start with hypotheses and explore their consequences, unlike other disciplines where conclusions drive the inquiry.

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Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI | Lex Fridman Podcast #472

@ Lex Fridman

Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI | Lex Fridman Podcast #472

06/15/25

Related Takeaways

TT

Terence Tao

06/15/25

@ Lex Fridman

Mathematics has a theoretical and experimental component, with recent advancements allowing for more experimental approaches in the field.

AA

Anima Anandkumar

05/04/25

@ EO

In my classes, I encourage students to question everything and think critically, starting with intuitive questions rather than just focusing on mathematical equations.

AA

Anima Anandkumar

05/04/25

@ EO

Students often have intuitive ideas about practical problems, which can serve as a good starting point for deeper exploration, even if their initial intuitions are incorrect.

TT

Terence Tao

06/15/25

@ Lex Fridman

Mathematics allows you to change the rules of the problem, which is not possible in other fields like engineering, where fixed requirements exist.

TT

Terence Tao

06/15/25

@ Lex Fridman

Mathematics is about finding connections between different fields, and this process has been ongoing throughout history, such as the unification of geometry and number theory.

MM

Mira Murati

09/25/23

@ a16z

Theoretical math requires a different way of thinking, where you need to sit with a problem for a long time, building intuition and discipline to solve it.

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David Silver

04/11/25

@ Google DeepMind

If we solve the Riemann hypothesis, it could lead to new mathematics that millions of mathematicians would be eager to understand.

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Demis Hassabis

04/25/25

@ Queens' College Cambridge

While AI is currently proving mathematical concepts, the future challenge is whether AI can propose interesting new hypotheses, which remains uncertain.

TT

Terence Tao

06/15/25

@ Lex Fridman

When physicists need mathematics, they often rely on precursors developed by mathematicians, as seen when Einstein sought help from mathematicians for curved space.