I don't know if this has been addressed before, but I kinda like the bitter irony of Anakin's dream in ROTS: he dreams of Padme dying and to stop that he joins the Dark Side, but because of that move he actually makes the dream come true.
I thought this ties in nicely to Yoda's warnings to Luke in ESB: "Always in motion is the future."
In a way, what Anakin saw in his dreams was Padme's fate when he would turn to the Dark Side, but all he saw was her fate.
George said in The Making Of... that it was Padme that caused his turn to the Dark Side. In a way that is true, but only because Anakin is indeed too arrogant to deal with his premonitions properly. Maybe one can't blame him since his mother's death came about and seemed inevitable.
But I think now that it wasn't Padme, but Anakin wanting his own way with everything that caused his fall. Padme just made it come out, but it seems it was inevitable.
Anyway, I thought that Anakin causing his own nightmare to come true was nice inr elationship to tthe way Yoda handles the subject in ESB. Obviously, the frog learned from it.
It was a bold move, but a good one. I still find that George doesn't really hammer it home well, as he didn't in the PT with many great finds, plot points and ideas. But in ROTS it worked quite well, despite of that.
It's extremely bitter, but you don't get it straight from the film. It does kinda change the view on the ESB nocvo between Luke and Yoda: Luke could mess things up badly by following his premonitions... Lucky for the universe, he didn't.... almost though...
I think about that a lot. It's plainly cruel. If he hadn't had that dream both their fates would have probably been somewhat different. In a way the conclusion is a trigger for the action, in logic and philosophy this is a paradox.
In response to the OP, it's the self fulfilling propechy that is prevalent in SW, case in point, Anakin's fall and grace, fulfilling the main prophecy, and also his prophetic dream.
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Only if we were to say that Anakin was merely a pawn in his fate. But he wasn't. If he had been less arrogant and more open to learn about the meaning of his premonitions, people could have helped him out. Now he was subject to his own insights which were limited. Of course, by marrying Padme in secret he'd already gone down that path,.
In his first dream we hear Padme screaming "Anakin, help me!", yet in the second we see it is Obi-Wan with her, not Anakin. I think this means that she was always going to die, but it wasn't until Palpatine began his manipulating that her destiny changed - that is, the circumstances of her death changed.