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The Impossible Problem NO ONE Can Solve (The Halting Problem)

Get Nebula using my link for 40% off an annual subscription! https://go.nebula.tv/upandatom Recommended shows: Is Math Invented or Discovered? https://nebula.tv/ismathinvented Becoming Human https://nebula.tv/becominghuman?ref=u... What is Code? https://nebula.tv/what-is-code?ref=up... Hi! I'm Jade. If you'd like to consider supporting Up and Atom, head over to my Patreon page :)   / upandatom   Visit the Up and Atom store https://store.nebula.app/collections/... Subscribe to Up and Atom for physics, math and computer science videos    / upandatom   For a one time donation, head over to my PayPal :) https://www.paypal.me/upandatomshows Sources https://matjaz.substack.com/p/why-are... https://www.khanacademy.org/computing... https://www.udacity.com/course/intro-... The Nature of Computation - Cristopher Moore A big thank you to my AMAZING PATRONS! Jonathan Koppelman, Michael Seydel, Cy 'kkm' K'Nelson, Thorsten Auth, Chris Flynn, Tim Barnard, Izzy Ca, Millennial Glacier, Richard O McEwen Jr, Scott Ready, John H. Austin, Jr., Brian Wilkins, Thomas V Lohmeier, David Johnston, Thomas Krause, Lynn Shackelford, Ave Eva Thornton, Andrew Pann, Anne Tan, David Tuman, Richard Rensman, Ben Mitchell, Steve Archer, Luna, Viktor Lazarevich, Tyler Simms, Michael Geer, James Mahoney, Jim Felich, Fabio Manzini, Jeremy, Sam Richardson, Robin High, KiYun Roe, Christopher Rhoades, DONALD McLeod, Ron Hochsprung, Aria Bend, James Matheson, Kevin Anderson, Alexander230, Tim Ludwig, Alexander Del Toro Barba, Justin Smith, A. Duncan, Mark Littlehale, Tony T Flores, Dagmawi Elehu, Jeffrey Smith, Alex Hackman, bpatb, Joel Becane, Paul Barclay, 12tone, Sergey Ten, Damien Holloway, John Lakeman, Jana Christine Saout, Jeff Schwarz, Yana Chernobilsky, Louis Mashado, Michael Dean, Chris Amaris, Matt G, Dag-Erling Smørgrav, John Shioli, Todd Loreman, Susan Jones, Julian Nagel, Cassandra Durnord, Antony Birch, Paul Bunbury, Kent Arimura, Phillip Rhodes, Michael Nugent, James N Smith, Roland Gibson, Joe McTee, Dean Fantastic, Bernard Pang, Oleg Dats, John Spalding, Simon J. Dodd, Tang Chun, Michelle, William Toffey, Michel Speiser, Rigid Designator, James Horsley, Brian Williams, Craig Tumblison, Cameron Tacklind, 之元 丁, Kevin Chi, Lance Ahmu, Tim Cheseborough, Markus Lindström, Steve Watson, Midnight Skeptic, Dexter Scott, Potch, Indrajeet Sagar, Markus Herrmann (trekkie22), Gil Chesterton, Alipasha Sadri, Pablo de Caffe, Taylor Hornby, Mark Fisher, Emily, Colin Byrne, Nick H, Jesper de Jong, Loren Hart, Sofia Fredriksson, Phat Hoang, Spuddy, Sascha Bohemia, tesseract, Stephen Britt, KG, Hansjuerg Widmer, John Sigwald, O C, Carlos Gonzalez, Res, Thomas Kägi, James Palermo, Chris Teubert, Fran, Christopher Milton, Robert J Frey, Wolfgang Ripken, Jeremy Bowkett, Vincent Karpinski, Nicolas Frias, Louis M, kadhonn, Moose Thompson, Rick DeWitt, Andrew, Pedro Paulo Vezza Campos, S, Rebecca Lashua, Pat Gunn, George Fletcher, RobF, Vincent Seguin, Shawn, Israel Shirk, Jesse Clark, Steven Wheeler, Philip Freeman, Jareth Arnold, Simon Barker, Lou, and Simon Dargaville. Chapters 0:00 A double edged sword 1:00 Universality 3:09 Thanks Nebula! 4:32 How do we know there are problems computers will never solve? 6:05 Hilbert's Program 7:59 Decidability 11:39 Turing hears of the Entscheidungsproblem (uh-oh) 13:27 The Halting Problem 16:42 Undecidability Creator - Jade Tan-Holmes Written by Zoe Cocchiaro, Simon Mackenzie and Jade Tan-Holmes Animations by Tom Groenestyn Editing by Standard Productions Music - epidemicsound.com