Trivun said:
On a similar note, another character, Connor, finds in the future technology developed by his own research team to control the opening of these anomalies. It's never stated explicitly, but it's hinted that if not for the events of the finale (again, spoilers so no comment on details), then he'd have reverse engineered the technology to invent it in the first place. This makes no sense and creates another paradox, where there's no point of origin for the technology as to create the technology, it must first exist already. Lost is also guilty of this in season 5, with Locke, Richard and the compass...
Actually, a stable time loop is more easily possible than any of the other time-travel conundrums. However, this is only true when only information is involved. (When an object goes through the loop, you end up with an infinitely old object, because it gains wear and tear on each cycle.) Think about Star Trek IV, where Scotty gives the formula for transparent aluminum to the plexiglass guy.
As for continuity errors I've seen, check out Star Trek: Generations. Soren's hanging on a rope. He cloaks the missle launcher with a remote. The knot unravels and he starts falling down the cliff. Then, the knot (that just let loose) catches on a pole, yanks him to a stop, and makes him drop his remote.
If that weren't bad enough, try this one... The remote that he dropped landed on a metal bridge over a canyon. Kirk goes after it. Soren fires his weapon and breaks the bridge in two pieces just as Kirk gets to the bridge. You can see the remote bounce into a groove on Kirk's side of the bridge. After a little interlude between Picard and Kirk, Kirk suddenly has to jump to the other side of the bridge to grab the remote. Also, while Kirk's shimmying out onto the bridge, there are close-ups of the failing bridge supports straining under his weight, and almost breaking. Kirk jumps to the other side of the bridge, grabs the remote, and decloaks the missle launcher. Then, the supports snap and send the bridge and him careening into the canyon. Weren't the supports that were straining under his weight on the OTHER side of the bridge?