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!

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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, ...  
   • Joel David Hamkins - Infinite Games -...  

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

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Stock footage provided by Pixabay.com and Vecteezy.com!

Some clips provided by Vsauce!
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Floating Math Formula provided by IncrediVFX
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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!