Jayson_Virissimo comments on A brief history of ethically concerned scientists - Less Wrong
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But the selection of military leaders is iterated.
Most of us are not in a position to ever select a military leader, let alone do it an indefinite number of times.
Most adult US citizens are in a position to have nonzero input into the selection of the person who determines military policy.
Sure, and most adult US citizens are in a position to have nonzero input into the selection of today's weather by choosing to open their door with the AC on or not. Nonzero is a very small hurdle indeed.
An interesting voting mechanism, if it allows a preference that /everyone/ has to not be expressed in the outcome because each individual has a small overall effect.