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1. Eat human flesh/brains
2. Bad skin and abnormalities making them look less than human and barely recognizable
3. Enhanced strength
4. Bad Breath
No one in the Bible even remotely resembles these characteristics. Besides Jesus can never die again according to the New Testament and zombies in fiction die all the time. Zombies in voodoo are not the same as zombies in fictional American cultures. Zombies in voodoo are mind-controlled and aren't dead.
To add to this discussion, earlier this week on G4TV's Attack of the Show, Kevin Pereira talked to Harvard Medical School Professor Steven C Scholzman about understanding the living dead, their biology and why they like to eat our brains. This could help Askegg a lot in defining what a zombie really is so he can see that zombies do not belong in the Bible.