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This issue was addressed in a pretty funny manner on Futurama, and I'm surprised no one's brought this up yet.
They showed a spoof educational film called "I Dated a Robot" which argued (accurately) that all of civilization was just an effort by people to impress the opposite sex. Once people start dating robots, there will no longer be a need to do anything else but, well, have sex with robots. Civilization will crumble.
This You Tube video includes clips:
http://www.youtube.com/watch?v=2PYA6M-rZMw