Only in so far as the pattern remained for her to see. She could not see what would happen were the pattern to end, only what would happen if it were to keep going. The future is changeable, as evidenced by Aviendha changing her child's name. The Dark One had decided to end the world/make it his slave, and could have done it. Rand himself could have done it, using again the example of the wolves saying he would destroy the pattern.
Aviendha didn't see the name of her child. She saw what a Ter'angreal predicted the name of her child (and the future) would be. That Ter'angreal could predict the future pretty far out, but I don't think it took into account the effects that looking into it would have. Plus, its pretty clear that the events it predicted are never going to take place due to what here seeing what it contained was set into motion.
Plus, your child's name is probably small enough to be changeable if it isn't going to be significant to their life.
But there were also Dark Prophecies. For example, Perrin was meant to die. Certain Dark prophecies were fulfilled. Again, it was about balance. There were two sets of prophecies, those of the light and those of the dark. Those of the light, given it's a story, were the ones bound to prevail.
Yes, certain Dark prophecies were fulfilled: All of them. All prophecies are part of the pattern, a tool it uses to shape events, even the smallest of them is fulfilled, and breaking any of them would in some sense mean beating the pattern itself.
Everything in the Shadow Prophecy did indeed happen.
The Broken Wolf was Perrin’s spirit guide.
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The link for all that stuff is here if you want to see it.)
So yeah, while the prophecy did very strongly imply that Perrin would die, that isn't the proper way to interpret it (given that he indeed, never died). But yeah, it seemed this way to me too, but word of god does say that the prophecy was fulfilled.
"Gawyn kneeling at Egwene's feet with his head bowed, and Gawyn breaking Egwene's neck, first one then the other, as if either could be the future. She had never seen that fluttering back and forth, as though not even the viewing could tell which would be the true future. Worse, she had a feeling near to certainty that it was what she had done this day that had turned Gawyn toward those two possibilities."
All this means is that there are a very few circumstances where things aren't perfectly fixed. That there are a number of possibilities that can occur. But they are extremely rare (as evidenced by Min only having seen a few visions like that, when she usually sees visions from everyone she meets), and having 1/10,000 people being able to change the outcome of a single event (that the pattern will allow to occur both ways) doesn't seem very important to me.
This also implies that Min's actions were not predetermined either.
No matter what min does she cannot change her visions, they are as absolute to her as they are to anyone else.
It could have only gone three cycles, say, surely?
Its possible, but its
very strongly implied that the cycle has happened a number of times beyond counting, with the Dark One being defeated every single time. But yes its possible that this is third, or second cycle. Part of how the pattern works is that there is fundamentally no way to truly know.
That depends on what Min sees. Perhaps it is she can only see those things which people were absolutely bound to see.
Its possible, but my interpretation is that the pattern only allows her to see more then anyone else (and only the things that she can't change when she does see them), not everything that is fixed.
It may be fixed that someone will die the next day, but if Min knew she could change it, thus she would be unable to see that they will die.