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If you roll a set of dice, do you own the number?
I don’t think it is a tool in the same sense that image editing software is.
But if for example you use a LLM to write an outline for something and you heavily edit it, then that’s transformative, and it’s owned by you.
The raw output isn’t yours, even though the prompt and final edited version are.
This is actually a really interesting question. A modern LLM probably couldn’t do it, but I wonder if something like Alphazero could?
My guess is that no current AI is capable, as it requires abstract reasoning and precise movement. But maybe in the next 5 years.