As was said, show isn't in the continuity of the movie franchise. The paradox that is created is puzzling, but a common paradox when dealing with time. In the future you travel back to see why a fire burned down an old building, when there you accidently knock over a lantern and start a fire, then you return to the future. Hence the fire from the past wouldn't of happened without your eventual travel, but you wouldn't travel unless the past event happened. So how does the original continuity begin unless time is written and there can be no changing it.
What happened from T1 is we entered a different time line. And same goes for T2, as that skewed into another time line. The inevitable is that SkyNet comes online. It was already set in stone and couldn't be changed. Thus the future is set and cannot be reveresed. T3 came of that, time found a way to correct itself. Then T3 changed the timeline (remember that in the original future 1 2 and 3 technically shouldn't of happened, because if they had then John would have a much better understanding of the current time line. Knowing prior to that that someday in his time terminators would look like Arnold, thus always taking them out and never getting them inside. But he didn't so thus timelines always skew from alteration.)
What happened from T1 is we entered a different time line. And same goes for T2, as that skewed into another time line. The inevitable is that SkyNet comes online. It was already set in stone and couldn't be changed. Thus the future is set and cannot be reveresed. T3 came of that, time found a way to correct itself. Then T3 changed the timeline (remember that in the original future 1 2 and 3 technically shouldn't of happened, because if they had then John would have a much better understanding of the current time line. Knowing prior to that that someday in his time terminators would look like Arnold, thus always taking them out and never getting them inside. But he didn't so thus timelines always skew from alteration.)
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