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! Watch my previous video, "I Made Chess, but It's Infinite"! Play Infinite Chess at: Join the official Infinite Chess Discord! The positional examples of mate-in-omega are from Joel David Hamkins and Cory Evans' research! Read their paper here: ~integers/og2/ Also watch their presentations on these positions! 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! Listen to the originals, provided by NoCopyrightSounds! Pt. 1: Pt. 2: Electro-Light (Artist) socials: 🔸 Looking For Clues by David Robson 🔸 Falling by Sappheiros 🔸 Cartoon - Immortality, also provided by NoCopyrightSounds! Cartoon (Artist) socials: Kristel Aaslaid (vocalist) socials: ---------------------------------------------------------------------------- Stock footage provided by and ! Some clips provided by Vsauce! Floating Math Formula provided by IncrediVFX @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!