Thread: a riddle
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Old 26-11-2008, 05:30 PM   #42
Japo
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Quote:
Originally Posted by _r.u.s.s. View Post
you're making no sence, that's actually why the devil could trap the angel of any power, if it's true
No, even if you were interested in the limit where the size of the trap tends to infinity, the distance the angel can travel before it's finished would diverge faster, for any N>0.

A strong and definitive way of proving that the devil can trap an angel (without necessarily proving that it's the max powered angel he can trap?) would be proving that he's able to build a moat around a trap larger than the area the angel can reach in the time the trap takes to be built. But as I said that's not even true for the minimal N=1.

Any other strategy for trying to prove anything doesn't seem robust, since it needs a hypothesis in the form of the strategy the angel is going to follow consistenly and blindly (even for a obviously contraproductive move). First you'd have to prove that it's the optimal strategy in any circumstance, and that looks more difficult to prove, if possible at all, which I doubt. At least all the demonstrations in the article are that way.
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Last edited by Japo; 26-11-2008 at 05:32 PM.
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