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Except in cases like this one
[experiment]
A bomb set to explode if it receives a particular particle is put next to a particle emitter. A time machine is used to send the particle back one hour at the bomb. So if the particle is sent, the bomb blows the emitter to bits and the particle is never sent. But if it isn't sent, then the bomb doesn't blow and the particle is sent. Paradox. End of universe.
[/experiment]
Of course, that still doesn't solve the problem. I think the best way to think about it is the chronology protection conjecture: something will always go wrong with a time machine.
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Hm no that wouldn't really create a paradox, since time travel would never directly influence the same time line (see my other post about two time lines ect).