The Illumination Problem - Numberphile

The Illumination Problem - Numberphile

Февраль 28, 2017

Featuring Professor Howard Masur from the University of Chicago. Filmed at the Mathematical Sciences Research Institute (MSRI).
Part 2 of this interview: https://youtu.be/AGX0cLbHaog

Patreon: http://www.patreon.com/numberphile

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14:18 The Four Color Map Theorem - Numberphile

The Four Color Map Theorem - Numberphile

This video supported by Squarespace: https://www.squarespace.com/numberphile
The Four Color Map Theorem (or colour!?) was a long-standing problem until it was cracked in 1976 using a "new" method... computers!

A little bit of extra footage from this: https://youtu.be/laMkuPrad3s

This video features Dr James Grime — http://jamesgrime.com
More Grime videos: http://bit.ly/grimevideos

Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile

We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science.

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11:39 The Unbeatable Game from the 60s: Dr NIM

The Unbeatable Game from the 60s: Dr NIM

Buy a modern version of Dr NIM!
https://mathsgear.co.uk/products/braino

The game of (single pile) Nim can be won by anyone who understands a simple trick. A trick so easy, a 1960s mechanical plastic computer can play with perfect strategy, defeating all humans.

Learn the method and proceed to beat your friends, family and colleagues.

Read more about single-pile Nim on the Maths Busking site:
http://www.mathsbusking.com/shows-twenty-quid.html

My Domino Computer. The Domputer.
http://youtu.be/OpLU__bhu2w

Dr NIM at the Computer History Museum:
http://www.computerhistory.org/collections/catalog/102688881

And someone has put the whole instruction booklet online:
http://www.cs.miami.edu/home/burt/learning/Csc427.152/491_Dr-Nim-Manual5b15d.pdf

MATT PARKER: Stand-up Mathematician
Website: http://standupmaths.com/

Music by Howard Carter
Design by Simon Wright

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13:14 Fair Dice (Part 1) - Numberphile

Fair Dice (Part 1) - Numberphile

Probability expert Professor Persi Diaconis (Stanford University) talking about dice.
More links & stuff in full description below ↓↓↓

Part 2: https://youtu.be/8UUPlImm0dM
Tadashi and Dice: https://youtu.be/zzKGnuvX6IQ
More dice videos: http://bit.ly/Dice_Videos
More Persi Diaconi videos: http://bit.ly/Persi_Videos

Diaconis/Keller paper on fair dice: http://bit.ly/FairDicePaper

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0:6 The Infinite Hotel Paradox - Jeff Dekofsky

The Infinite Hotel Paradox - Jeff Dekofsky

Sign up for our newsletter and never miss an animation: http://bit.ly/TEDEdNewsletter

View full lesson: http://ed.ted.com/lessons/the-infinite-hotel-paradox-jeff-dekofsky

Want more? Try to solve the buried treasure riddle: https://www.youtube.com/watch?v=tCeklW2e6_E

The Infinite Hotel, a thought experiment created by German mathematician David Hilbert, is a hotel with an infinite number of rooms. Easy to comprehend, right? Wrong. What if it's completely booked but one person wants to check in? What about 40? Or an infinitely full bus of people? Jeff Dekofsky solves these heady lodging issues using Hilbert's paradox.

Lesson by Jeff Dekofsky, animation by The Moving Company Animation Studio.

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26:36 Epic Circles - Numberphile

Epic Circles - Numberphile

The man who loved circles (Objectivity): https://youtu.be/AzmUCL1OHhs
More links & stuff in full description below ↓↓↓

Pappus chains, circle inversion and a whole lot more in this EPIC video with Simon Pampena.

Support us on Patreon: http://www.patreon.com/numberphile

NUMBERPHILE
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9:50 A Hole in a Hole in a Hole - Numberphile

A Hole in a Hole in a Hole - Numberphile

Audible: http://www.audible.com/numberphile
More links & stuff in full description below ↓↓↓

Cliff's glassware: http://bit.ly/ACME_Klein
Extras for this video: https://youtu.be/6Qpfv5y-7WU
More videos featuring Cliff Stoll: http://bit.ly/Cliff_Videos

Cliff references A Comprehensive Introduction to Differential Geometry by Michael Spivak: http://amzn.to/2cwmdB7

Animation: Pete McPartlan

Note from Cliff:
Original ideas & suggestions from Peter Nguyen of Coker College and Danny Stoll of U/Chicago
Amazing glasswork by Tom Adams, George Chittenden, Lucas Clarke, and Xing Wei

Support us on Patreon: http://www.patreon.com/numberphile

NUMBERPHILE
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0:20 AI "Stop Button" Problem - Computerphile

AI "Stop Button" Problem - Computerphile

How do you implement an on/off switch on a General Artificial Intelligence? Rob Miles explains the perils.

Part 1: https://www.youtube.com/watch?v=4l7Is6vOAOA
Rob's Original Discussions on General AI: https://www.youtube.com/playlist?list=PLzH6n4zXuckquVnQ0KlMDxyT5YE-sA8Ps

Stop Button Solution?: https://youtu.be/9nktr1MgS-A

More from Rob Miles: http://bit.ly/Rob_Miles_YouTube

Thanks to Nottingham Hackspace for providing the filming location: http://bit.ly/notthack


http://www.facebook.com/computerphile
https://twitter.com/computer_phile

This video was filmed and edited by Sean Riley.

Computer Science at the University of Nottingham: http://bit.ly/nottscomputer

Computerphile is a sister project to Brady Haran's Numberphile. More at http://www.bradyharan.com

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9:45 How to always win at Dots and Boxes - Numberphile

How to always win at Dots and Boxes - Numberphile

This video features 'games legend' Elwyn Berlekamp.
Amazons with Elwyn: https://youtu.be/kjSOSeRZVNg
More links & stuff in full description below ↓↓↓

Elwyn's book on Dots and Boxes: http://bit.ly/DotsBoxesBook
Elwyn's Winning Ways on Amazon: http://amzn.to/1BIA6UB
Extra footage about bigger boards: http://youtu.be/rBngUo0JTzs

Support us on Patreon: http://www.patreon.com/numberphile

NUMBERPHILE
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13:32 Glitch Primes and Cyclops Numbers - Numberphile

Glitch Primes and Cyclops Numbers - Numberphile

Audible: http://www.audible.com/numberphile
More links & stuff in full description below ↓↓↓

Simon Pampena on Glitch Primes and Binary Cyclops Numbers.
Simon on Twitter: https://twitter.com/mathemaniac

Some book recommendations... Love & Math by Edward Frenkel, The Simpsons and their Mathematical Secrets by Simon Singh, The Mathematics of Love by Hannah Fry and Alex's Adventures in Numberland by Alex Bellos.

Prime Playlist: http://bit.ly/primevids

Support us on Patreon: http://www.patreon.com/numberphile

NUMBERPHILE
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0:13 The Moving Sofa Problem - Numberphile

The Moving Sofa Problem - Numberphile

Featuring Dan Romik from UC Davis.
More footage from this interview soon on Numberphile2.
Dan's comprehensive page on this topic: http://bit.ly/movingsofa

Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile

We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science.

NUMBERPHILE
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