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Not necessarily a paradox...
July 14, 2009
by Anonymous,
19 weeks 6 days ago
Comment: 38002
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Think of "Back to the Future," where Doc Brown talks of causing perceivable "time" to "skew off into an alternate tangent," by traveling back in time. At the very moment you kill your grandfather, you've created (in a sense) a parallel universe in which you, consequently, don't exist. This is a hypothetical version of you that may or may not exist in an infinite number of parallel universes that all exist simultaneously.
So, the original "you" still exists, because you originated in a universe where your grandfather was NOT killed.