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Another backgammon puzzle

Posted By: Timothy Chow
Date: Friday, 8 March 2013, at 11:33 p.m.

In Response To: Another backgammon puzzle (Mochy)

Even if we don't count backgammon "games" that last forever, and count only those that end after a finite amount of time, there are still infinitely many possible backgammon games. Some games end after 100 moves, some end after 101 moves, some end after 102 moves, some end after 103 moves, and so on. No matter how many backgammon games you write down, there is always another backgammon game that isn't on your list because it lasts for more moves than any game on your list. That's what it means for there to be infinitely many backgammon games.

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