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