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Timeline for Tree-pruning game with the devil

Current License: CC BY-SA 3.0

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Apr 21, 2015 at 20:13 comment added user88 @EngineerToast Removing branches from the top level can still create more branches at the top level. That's not a complete proof.
Apr 21, 2015 at 19:15 comment added Engineer Toast I worked this out for myself because I couldn't see it. Since Satan can only add branches below where you're removing them, just keep removing branches from whatever the top level is. By the time you're done, he'll have added some number of branches to the next level down. Start clearing those and it can never get larger because everything new is added one level down. Excellent!
Apr 21, 2015 at 18:23 comment added Juan Carlos Oropeza Now I'm sure Emrakul is Mat Daemon secret identity (Good Will Hunting).
Apr 16, 2015 at 21:13 comment added user20 @JoeZ Fair. The answer below mine by xnor is, honestly, far superior. (That's what I was referring to in chat.)
Apr 16, 2015 at 21:13 vote accept CommunityBot moved from User.Id=88 by developer User.Id=164
Apr 16, 2015 at 21:11 comment added user88 Basically induction over a well-ordering, which is what the ordinals were for in the first place.
Apr 16, 2015 at 21:10 comment added user20 @JoeZ Not induction over ordinals, but induction on a well-defined "deletable" property.
Apr 16, 2015 at 20:26 comment added user88 Hmm... this solution doesn't involve induction with ordinals at all... although I completely get where you're coming from.
Apr 16, 2015 at 8:54 history edited user20 CC BY-SA 3.0
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Apr 16, 2015 at 8:46 history edited user20 CC BY-SA 3.0
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Apr 16, 2015 at 8:28 history edited user20 CC BY-SA 3.0
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Apr 16, 2015 at 7:49 history answered user20 CC BY-SA 3.0