S2 E19 - 9m 12s
Imagine you have a square-shaped room, and inside there is an assassin and a target. And suppose that any shot that the assassin takes can ricochet off the walls of the room, just like a ball on a billiard table. Is it possible to position a finite number of security guards inside the square so that they block every possible shot from the assassin to the target?
S2 E18 - 9m 32s
Imagine you have four cubes, whose faces are colored red, blue, yellow, and green. Can you stack these cubes so that each color appears exactly once on each of the four sides of the stack?
S2 E17 - 10m 31s
Set theory is supposed to be a foundation of all of mathematics. How does it handle infinity?
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