Why isn't LLM pre-training based on next token prediction considered "trial and error"? It seems to fit that description pretty well to me.
It’s the difference between a painter copying some work and a painter making an original piece and then get feedback on it. We consider the second trial and error because the full process is being tested not just technique.
Imagine if school only gave correct if you used exactly the same words as the book, that is not "trial and error".