The Search for the Longest Infinite Chess Game скачать в хорошем качестве

The Search for the Longest Infinite Chess Game

We explore extremely long Infinite Chess games, starting with Mate in Omega, and progressively climbing to higher and higher transfinite ordinals! Play Infinite Chess at: https://www.InfiniteChess.org Support me and its development on my Patreon, and get your name in the credits of my videos:   / naviary   Join the Infinite Chess Discord server:   / discord   Access the spreadsheet board editor: https://docs.google.com/spreadsheets/... \/ Credits for the positions shown, along with links to learn more about them! \/ Omega, Omega^2, Omega^3 by Joel Hamkins and C. D. A. Evans: http://math.colgate.edu/~integers/og2... Omega*2 by Noam. D. Elkies: https://mathoverflow.net/a/63841/514442 Omega^4 by C. D. A. Evans, Joel Hamkins, and Norman Lewis Perlmutter: http://math.colgate.edu/~integers/rg4... Omega_1 Proof by Matthew Bolan: https://mathoverflow.net/questions/63... Subscribe to his channel!    / @matthewbolan8154   Some clips are from Joel Hamkins presentation, “The theory of infinite games, including infinite chess”, watch it here!    • TMWYF: The theory of infinite games, inclu...   See more presentations on The Infinite Games Workshop:    / @infinitegamesworkshop-kd5et   Note for the chapter “Climbing the Ordinal Tower”: I often mention “this to the power of this infinitely…”, or “infinite epsilons above this…”. When I word things like this, what I really mean is to take the limit, or supremum, as we approach doing that operation infinitely. I have chosen this wording to make things more intuitive to the viewer and those who may have zero ordinal arithmetic knowledge. This chapter is not meant to be a detailed explanation of ordinal arithmetic. 🎶 Music used (in order) 🎶 Background Check by David Robson:    • Detective Music For Investigation And Susp...   Looking For Clues by David Robson:    • Suspenseful Detective Background Music For...   Witness Testimony by David Robson:    • Mysterious Detective Background Music | Su...   Viking by Aakash Gandhi:    • Viking - Aakash Gandhi   Mario Bava Sleeps In a Little Later Than He Expected To by Chris Zabriskie:    • Mario Bava Sleeps In a Little Later Than H...   This is licensed under a Creative Commons Attribution 4.0 license. https://creativecommons.org/licenses/... Source: http://chriszabriskie.com/vendaface/ Artist: http://chriszabriskie.com/ Anime Song 2 by Montage of Chips:    • Anime Song 2   Music: True Detective by Soundridemusic Link to Video:    • Suspense Detective, Crime, Spy, Tension No...   White Hats by Wayne Jones:    • White Hats - Wayne Jones   Artemis by Scott Buckley - released under CC-BY 4.0. www.scottbuckley.com.au Video:    • 'Artemis' [Inspirational Epic Orchestra CC...   Needle In A Haystack by David Robson:    • Investigation Crime Scene Music For Detect...   Signal to Noise by Scott Buckley - released under CC-BY 4.0. www.scottbuckley.com.au Video:    • 'Signal to Noise' [Cinematic Classical CC-...   Weirder Stuff by Geographer:    • Weirder Stuff - Geographer   Many of these songs are provided by FesliyanStudios! Make a donation to also gain access to their music :) https://www.fesliyanstudios.com/policy Chapters: 0:00 Introduction 1:18 The Game Tree 3:21 Omega 5:17 Why Ordinals? 8:04 Omega+1 8:58 Omega*2 10:41 Omega^2 12:27 Omega^3 14:48 Omega^4 20:20 Matthew’s Proof 24:09 Climbing the Ordinal Tower 26:53 Conclusion Other stock footage is from Pixabay.com If I missed, or incorrectly gave credit, please don’t hesitate to contact me using my email! Located in the "About" section of my channel, click "View email address".