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Terence Tao

1 appearance ·5 ideas explored

Across 1 conversation, Terence Tao ranges across Kakeya Problem, twin prime conjecture, AI collaboration. Terence Tao engineered a blowup in fluid dynamics by altering Navier-Stokes equations, suggesting fluid-based Turing machines. The Kakeya Problem reveals that a needle can be turned with arbitrarily small area, challenging intuitive notions of space.

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For the specialist
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Tao's engineered blowup in Navier-Stokes equations exploits super-criticality, directing energy into smaller eddies, which could revolutionize fluid dynamics.
#472Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
Lean programming's ability to track contributions and automate proof formalization could fundamentally change collaborative mathematics.
#472Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
The twin prime conjecture's difficulty is due to the sparse nature of twin primes, requiring new mathematical breakthroughs.
#472Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI
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The appearance

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Reading list

What they pointed you toward

books

The Poincare Conjecture: In Search of the Shape of the Universe
by Donal O'Shea

papers

Finite Time Blowup For An Average Three-Dimensional Navier-Stokes Equation
by Terence Tao
Szemerédi’s Theorem
by Endre Szemerédi

articles

Hypothetical conversation between a mathematical assistant of the future and Tim Gowers
by Tim Gowers

others

AlphaProof
by DeepMind
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