orthonormal comments on Have no heroes, and no villains - Less Wrong

88 Post author: PhilGoetz 07 November 2010 09:15PM

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Comment author: orthonormal 09 November 2010 01:22:50AM 8 points [-]

If you assume the world has very simple topology, yes.

Comment author: TobyBartels 11 November 2010 06:39:20AM *  2 points [-]

You also have to assume that each territory is connected, which is what really makes this theorem inapplicable so often.

Comment author: [deleted] 12 November 2010 02:52:03PM 0 points [-]

You could say that it's the topology that matters, since you could easily give the globe a topology such that every nation is connected.

Comment author: TobyBartels 13 November 2010 12:25:07AM 0 points [-]

You could say that it's the topology that matters, since you could easily give the globe a topology such that every nation is connected.

You could (as with the indiscrete topology), but in this case I think that it makes more sense to think of the topology as fixed before the particular territories. Historically, the latter have proved to be far more variable.