Only if there isn’t some mutually exclusive subgoal that more efficiently achieves its goals. It may turn out that taking over the Earth isn’t the most efficient way to tile interstellar space with paperclips, for example, in which case a good enough optimizer will forego taking over the Earth in favor of the more efficient way to achieve its goals.
It’s possible that it won’t take over Earth fist. It would likely start with asteroids to save on shipping, and if FTL is cheap enough, it might use other stars’ asteroids before it resorts to the planets. But it will resort to the planets eventually.
Only if there isn’t some mutually exclusive subgoal that more efficiently achieves its goals. It may turn out that taking over the Earth isn’t the most efficient way to tile interstellar space with paperclips, for example, in which case a good enough optimizer will forego taking over the Earth in favor of the more efficient way to achieve its goals.
Of course, that’s not something to count on.
You normally have to at least arrest any nearby agents that might potentially thwart your own efforts.
It’s possible that it won’t take over Earth fist. It would likely start with asteroids to save on shipping, and if FTL is cheap enough, it might use other stars’ asteroids before it resorts to the planets. But it will resort to the planets eventually.