Tyrrell_McAllister comments on The Correct Contrarian Cluster - Less Wrong

38 Post author: Eliezer_Yudkowsky 21 December 2009 10:01PM

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Comment author: PhilGoetz 23 December 2009 03:57:05PM *  0 points [-]

Tao shows how it's possible to move faster than the wind using wind power. I am not disputing this. Tao says in that very same post that it is impossible to sail downwind faster than the wind:

The most obvious dimension to exploit is the windward/leeward dimension – the direction that the wind velocity v0 is oriented in. But if this is the only dimension one exploits, one can only sail up to the wind speed |v_0| and no faster,

Comment author: Tyrrell_McAllister 23 December 2009 04:58:23PM *  0 points [-]

As Cyan points out, Tao is saying that you can't sail directly with the wind faster than the wind if you don't exploit more than one dimension. But the carts that started this discussion do exploit more than one dimension. Specifically, they exploit the vertical dimension by using the difference in speed between the ground and the air.