Originally Posted by metaphysician
Technically that's not paradoxical. There is no impossibility or contradiction at work, just the weirdness of killing your own future self. However, if he tried to avoid it, that *would* induce a paradox. . .
Lol, technically the correct term I should have used is a ' reverse Predestination Paradox' : http://en.wikipedia.org/wiki/Predestination_paradox
In that short stories example the traveller goes to the future to set in motion events that he knows he has to fulfil (to his detriment) after he travels back to his own past, rather than a time traveller going back in time and creating the events they had being trying to alter (as in the original Terminator film).
Either way, both are time loop paradoxes