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

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!   / naviary   Watch my previous video, "I Made Chess, but It's Infinite"!    • I Made Chess, but It's Infinite   Play Infinite Chess at: https://www.InfiniteChess.org Join the official Infinite Chess Discord!   / discord   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... Also watch their presentations on these positions!    • TMWYF: The theory of infinite games, inclu...      • Joel David Hamkins - Infinite Games -- Str...   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!    • Electro-Light - Symbolism Parts 1 & 2 (Nav...   Listen to the originals, provided by NoCopyrightSounds! Pt. 1:    • Electro-Light - Symbolism | Trap | NCS - C...   Pt. 2:    • Electro-Light - Symbolism pt. II | Trap | ...   Electro-Light (Artist) socials:    / electrolightofficial     / electrolightofficial     / maskedacoustic     / electrolightedm   🔸 Looking For Clues by David Robson    • Royalty Free Detective Music Mix | Suspens...   🔸 Falling by Sappheiros    • ❰Future Garage❱ Sappheiros - Falling (Ft. ...   🔸 Cartoon - Immortality, also provided by NoCopyrightSounds!    • Cartoon, Jéja - Immortality (feat. Kristel...   Cartoon (Artist) socials:   / cartoonbaboon     / cartoondband   Kristel Aaslaid (vocalist) socials:   / kristelaaslaidofficial     / kristel-aaslaid   ---------------------------------------------------------------------------- Stock footage provided by Pixabay.com and Vecteezy.com! Some clips provided by Vsauce!    • How To Count Past Infinity   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!