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Is Philadelphia North of Rome or South of Rome?
People think that an ordinary building say Jacques's house is closer to a landmark Eiffel Tower. That violates any metric assumption and it seems to me because the Eiffer Tower defines a neighborhood, you might say I live near the Eiffle Tower but unless somebody knew Jacques you wouldn't say I livenear Jacques's house. So ordinary things are drawn into the space of a neighborhood of a landmark and that defies any metric representation.