Not everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is sponsored by Brilliant. The first 200 people to sign up via https://brilliant.org/veritasium get 20% off a yearly subscription.

Special thanks to Prof. Asaf Karagila for consultation on set theory and specific rewrites, to Prof. Alex Kontorovich for reviews of earlier drafts, Prof. Toby ‘Qubit’ Cubitt for the help with the spectral gap, to Henry Reich for the helpful feedback and comments on the video.

▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
References:

Dunham, W. (2013, July). A Note on the Origin of the Twin Prime Conjecture. In Notices of the International Congress of Chinese Mathematicians (Vol. 1, No. 1, pp. 63-65). International Press of Boston. — https://ve42.co/Dunham2013

Conway, J. (1970). The game of life. Scientific American, 223(4), 4. — https://ve42.co/Conway1970

Churchill, A., Biderman, S., Herrick, A. (2019). Magic: The Gathering is Turing Complete. ArXiv. — https://ve42.co/Churchill2019

Gaifman, H. (2006). Naming and Diagonalization, from Cantor to Godel to Kleene. Logic Journal of the IGPL, 14(5), 709-728. — https://ve42.co/Gaifman2006

Lénárt, I. (2010). Gauss, Bolyai, Lobachevsky–in General Education?(Hyperbolic Geometry as Part of the Mathematics Curriculum). In Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture (pp. 223-230). Tessellations Publishing. — https://ve42.co/Lnrt2010

Attribution of Poincare’s quote, The Mathematical Intelligencer, vol. 13, no. 1, Winter 1991. — https://ve42.co/Poincare

Irvine, A. D., & Deutsch, H. (1995). Russell’s paradox. — https://ve42.co/Irvine1995

Gödel, K. (1992). On formally undecidable propositions of Principia Mathematica and related systems. Courier Corporation. — https://ve42.co/Godel1931

Russell, B., & Whitehead, A. (1973). Principia Mathematica [PM], vol I, 1910, vol. II, 1912, vol III, 1913, vol. I, 1925, vol II & III, 1927, Paperback Edition to* 56. Cambridge UP. — https://ve42.co/Russel1910

Gödel, K. (1986). Kurt Gödel: Collected Works: Volume I: Publications 1929-1936 (Vol. 1). Oxford University Press, USA. — https://ve42.co/Godel1986

Cubitt, T. S., Perez-Garcia, D., & Wolf, M. M. (2015). Undecidability of the spectral gap. Nature, 528(7581), 207-211. — https://ve42.co/Cubitt2015

▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Special thanks to Patreon supporters: Paul Peijzel, Crated Comments, Anna, Mac Malkawi, Michael Schneider, Oleksii Leonov, Jim Osmun, Tyson McDowell, Ludovic Robillard, Jim buckmaster, fanime96, Juan Benet, Ruslan Khroma, Robert Blum, Richard Sundvall, Lee Redden, Vincent, Marinus Kuivenhoven, Alfred Wallace, Arjun Chakroborty, Joar Wandborg, Clayton Greenwell, Pindex, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal

▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Written by Derek Muller, Adam Becker and Jonny Hyman
Animation by Fabio Albertelli, Jakub Misiek, Iván Tello and Jonny Hyman
Math City Animation by Another Angle 3D Visuals (www.anotherangle.ee)
Filmed by Derek Muller and Raquel Nuno
Edited by Derek Muller
Music and SFX by Jonny Hyman Additional Music from Epidemic Sound
Additional video supplied by Getty Images
Thumbnail by Geoff Barrett
Associate Producers: Petr Lebedev and Emily Zhang

▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀

This edition of #JournalistsHangout discusses the abduction of students in Kebbi state and other security challenges.

SUBSCRIBE to our YouTube channel for more great videos: http://www.youtube.com/tvcnewsnigeria

Follow us on Twitter: https://twitter.com/tvcnewsng

Like us on Facebook: https://www.facebook.com/tvcnewsng

For more great content go to https://tvcnews.tv

Download our mobile app for iPad, iPhone and Android at http://mobile.tvcnews.tv or go to the store

Join me Thursday October 29th at 2:30PM Eastern time as I welcome to the Mbongi, Psychologist and Africologist, Wade Nobles, PhD. Dr. Nobles is a founding member of the Association of Black Psychologists and former national President (1994-95). He is Professor Emeritus of Africana Studies and Black Psychology at San Francisco State University and the author of over one hundred (100) articles, chapters, research reports and books; the co-author of the seminal article in Black Psychology, Voodoo or IQ: An Introduction to African Psychology. In this conversation we will discuss Black Psychology today, in what areas it has been most successful and other areas needed currently to further permeate, and current and future works in the making. This will be a powerful powerful show that you do not want to miss. So set your reminder, like, and share with friends and colleagues.

In the meantime, GET YOUR COPY TODAY!
Towards a Comparative Dictionary of CIkam and Modern African Languages (2020): http://asarimhotep.com/shop-ma....rket/books/towards-a

Aaluja Vol. II: Cyena-Ntu Religion and Philosophy (2020). : https://asarimhotep.com/shop-m....arket/books/aaluja-v

To continue to support this channel, please consider donating with Cash App:
CashApp: $asarimhotep
PayPal: https://www.paypal.com/biz/fund?id=KY68KNYLEPMGA

Visit me on Twitter: https://twitter.com/imhotep06
Visit me on Instagram: imhotep1906
My webpage: http://asarimhotep.com

Yvan Sagnet from Cameroon is battling modern slavery in Italy's agricultural sector. Sagnet once worked as a low-wage farmhand. Now he is fighting for the rights of seasonal farmworkers, taking criminal recruiters, or gangmasters, to court.

Yvan Sagnet calls them slaves: the hundreds of thousands of seasonal farmworkers from Africa and eastern Europe on Italy's fields. Without their labor the country would have no tomato, orange or olive harvest. But the workers are exploited and often forced to live under inhumane conditions in ruins or shanty towns called ghettos. In 2011 Sagnet himself briefly picked tomatoes on the fields near the southern Italian town of Nardò. For four days he labored to fill the 350-kilogram crates. He earned 14 euros a day, ten of which he had to hand over to the gangmaster, or Caporale, for transport and water. Caporale is the term for the criminal recruiters who control and exploit the workers. After a 14-hour day working under the blazing sun and even being beaten, Sagnet took home only four euros. He helped to organize the first strike among the farmhands. It was a success, and since then he has been an activist for the rights of the farmworkers and against the gangmasters. Despite death threats, he has set up an organization called NoCap, a label to certify produce farmed under ethically acceptable conditions. And he has taken his fight against exploitation and slavery to the courts. So far, the Italian justice system has responded slowly. It's a fight that will take a long time to win.

--------------------------------------------------------------------

DW Documentary gives you knowledge beyond the headlines. Watch high-class documentaries from German broadcasters and international production companies. Meet intriguing people, travel to distant lands, get a look behind the complexities of daily life and build a deeper understanding of current affairs and global events. Subscribe and explore the world around you with DW Documentary.

Subscribe to DW Documentary:
https://www.youtube.com/channe....l/UCW39zufHfsuGgpLvi

Our other YouTube channels:
DW Documental (in spanish): https://www.youtube.com/dwdocumental
DW Documentary وثائقية دي دبليو: (in arabic): https://www.youtube.com/dwdocarabia

For more documentaries visit also:
http://www.dw.com/en/tv/docfilm/s-3610
Instagram
https://www.instagram.com/dwdocumentary/
Facebook:
https://www.facebook.com/dw.stories

DW netiquette policy: https://p.dw.com/p/MF1G

10th June 1940, The Most Honourable & Eminent Prophet, Marcus Mosiah Garvey, transitioned to meet the Ancestors. To mark the day, I am going shares some ideas of what Papa Garvey means by "Look For Me In The Whirlwind" & what the future of Universal Afrikan Nationalism look like.

► AFFIRMING BLACK MANHOOD: https://www.shakaraspeaks.com/

► JOIN ME ON TELEGRAM: https://t.me/ShakaRaSpeaks

To stay tuned, check out the channel YouTube.com/ShakaRaSpeaks

Watch All Reflections: https://www.youtube.com/watch?v=HLprLQX3Dms&list=PL-gMpPbGvuj1ydTRKKF4qTSeEhYz6zp8o

------------------------------------------------------------

► ABIBITUMI: https://www.abibitumi.com/members/shakara/
► ABIBITUMITV: https://abibitumitv.com/@ShakaRa

► Subscribe: https://www.youtube.com/shakar....aspeaks/?sub_confirm
► https://twitter.com/ShakaRaSpeaks
► Facebook: https://www.facebook.com/ShakaRaSpeaks/
► Instagram: https://www.instagram.com/shakaraspeaks/