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The Grandfather Paradox

here it is: a man travels back in time and kills his biological grandfather. one of his parents is never born and thus he is never conceived, meaning he couldn’t have gone back in time to kill his grandfather, meaning his grandfather was still alive and he would have been conceived, allowing him to travel back in time to kill his grandfather.

kind of a mindbender…..the only thing i can think of is the possibility of there being multiple universes. maybe when he travels back in time he creates an alternate universe in which he kills his grandfather and that universe plays out…what do ya philosophers think?

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