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time travel. the bootstrapping paradox. A causal loop is a series of events c 1 , c 2 , c 3 , … c n such that c 1 is a cause of c 2 which is a cause of c 3 which… is a cause of c n , which is cause of c 1 .
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time travel the bootstrapping paradox
A causal loop is a series of events c1, c2, c3, … cn such that c1 is a cause of c2 which is a cause of c3 which… is a cause of cn, which is cause of c1. • Transitivity: For any events x, y, and z: if x is a cause of y and y is cause of z, then x is a cause of z. causal loops
If time travel is possible, then causal loops are possible. • If causal loops are possible, then self-caused events are possible. • Self-caused events are not possible. • [So] Time travel is not possible. the bootstrapping paradox
If time travel is possible, then object loops are possible. • Object loops are not possible (at least not physically possible). • [So] Time travel is not possible (at least not physically possible). the restoration paradox
If time travel is possible, then causal loops are possible. • If causal loops are possible, then uncaused things are possible. • Uncaused things are not possible. • [So] Time travel is not possible. the ex nihilo paradox