Augh, no, not time travel... that never fails to do my head in...
For instance - like the oft quoted example - go back in time and kill your grandmother before she has your mother. So how can you exist to go back in time to kill her? So, if you don't exist to go back in time to kill her, she lives, and you're born, eventually, so you go back in time to kill her, but then you don't exist so you can't go...
Burble.
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