Mate-in-Omega, The Great Phenomenon of Infinite Chess

Video Description

What does it mean for a chess position to be Mate-in-Omega? Let's find out! Support me and the development of Infinite Chess on Patreon! https://www.patreon.com/Naviary Watch my previous video, "I Made Chess, but It's Infinite"! https://youtu.be/rav29N0-h2c Play Infinite Chess at: https://www.InfiniteChess.org Join the official Infinite Chess Discord! https://discord.gg/NFWFGZeNh5 The positional examples of mate-in-omega are from Joel David Hamkins and Cory Evans' research! Read their paper here: http://math.colgate.edu/~integers/og2/og2.pdf Also watch their presentations on these positions! https://youtu.be/1_bVL1FG2gI?t=2101 https://youtu.be/W3X8zRofRpU?t=2030 Chapters: 0:00 Intro 1:02 The Checkmate Clock 2:06 The Infinite Board 3:00 Mate-in-Omega 4:23 Ordinal Numbers 5:26 Omega Example 2 6:56 Omega^2 8:06 Outro 🎶 Music used 🎶 🔸 Custom mashup of Electro-Light's Symbolism Pts. I & II on my 2nd channel! https://www.youtube.com/watch?v=0jvuBe9PDSk Listen to the originals, provided by NoCopyrightSounds! Pt. 1: https://www.youtube.com/watch?v=__CRWE-L45k Pt. 2: https://www.youtube.com/watch?v=U7gDB634iAA Electro-Light (Artist) socials: https://www.youtube.com/user/ElectroLightOfficial https://www.facebook.com/ElectroLightOfficial https://soundcloud.com/maskedacoustic https://twitter.com/ElectroLightEDM 🔸 Looking For Clues by David Robson https://www.youtube.com/watch?v=Vdcl_j2mo6o 🔸 Falling by Sappheiros https://www.youtube.com/watch?v=E_e4ro2hzpc 🔸 Cartoon - Immortality, also provided by NoCopyrightSounds! https://www.youtube.com/watch?v=a--V2nZBtXM Cartoon (Artist) socials: https://soundcloud.com/cartoonbaboon https://www.facebook.com/cartoondband Kristel Aaslaid (vocalist) socials: https://www.facebook.com/KristelAaslaidOfficial/ https://soundcloud.com/kristel-aaslaid ---------------------------------------------------------------------------- Stock footage provided by Pixabay.com and Vecteezy.com! Some clips provided by Vsauce! https://www.youtube.com/watch?v=SrU9YDoXE88 Floating Math Formula provided by IncrediVFX https://www.youtube.com/@IncrediVFX If you own any of the footage in this video, and you want it removed, or credits given, please don't hesitate to contact me using my email! Located in the "About" section of my channel, click "View email address". #SoME #SoME3 Summer of Math Exposition 3!