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If they get hungry enough, they will. In the end, the survival instinct will usually over-rule affection - but you can't blame the cats, just think of those people in Alive, eating each other in the Andes after a plane crash.

The safest way to avoid this fate is to make sure someone actually notices that you're dead - don't be a recluse, have friends, keep in contact with family. Cats won't start eating you right away.

I've actually seen some gross pictures - it seems like they start with the lips because it's soft and fleshy.