Neil deGrasse Tyson | Can Math's Greatest Mysteries Ever Be Solved? Discover with 3Blue1Brown!

Описание: Neil deGrasse Tyson | Can Math's Greatest Mysteries Ever Be Solved? Discover with 3Blue1Brown!
Neil deGrasse Tyson | Can Math's Greatest Mysteries Ever Be Solved? Discover with 3Blue1Brown!
Neil deGrasse Tyson | Can Math's Greatest Mysteries Ever Be Solved? Discover with 3Blue1Brown!
Why can’t you divide by zero? Neil deGrasse Tyson and Chuck Nice discuss higher dimensions, dividing by zero, and math’s unsolved questions with math YouTuber Grant Sanderson @3blue1brown

We explore the Clay Millennium Problems: seven unsolved puzzles in mathematics, with a 1 million dollar prize. Grant shares his early fascination with the Twin Prime Conjecture. Are there infinitely many pairs of prime numbers that differ by two? We pivot to the Navier-Stokes equations and the question of whether fluid flow can produce infinite energy density. How do physics and math come together?

Neil recites the quadratic formula, launching a historical discussion on why equations of degree five or higher can’t be solved with a general formula, and how that impossibility gave rise to Galois theory. Listeners ask about dividing by zero, conformal geometry, tensor products, and category theory. Chuck gets lost.

We explore irrational numbers, why they’re called that, and why they are useful for physicists. We break down how Klein bottles work as four-dimensional objects. One listener asks if a new branch of math could solve the three-body problem. Plus, if the team were two-dimensional shapes, in Flatland, what would they be?

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Timestamps:
00:00 - Introduction: Grant Sanderson
03:05 - The Biggest Unsolved Problems in Math
07:58 - Are There Unsolvable Problems?
14:04 - Why Can’t We Divide By Zero?
15:45 - Math in Astrophysics
20:17 - What’s Up with ‘i’? (Imaginary Numbers)
24:39 - Circle Inversion
27:09 - Tensor Products
30:04 - Where’s the Next Branch of Math?
33:55 - Pi & Irrational Numbers
39:21 - What Shape would we be in Flatland?
44:06 - Higher Dimension Math
94:03 - Can Math Solve the 3-Body Problem?
52:50 - A Cosmic Perspective

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