And even if it were, there could be other things out there that could stop an FAI.
And even if there are not, people could still choose to die with a certain probability over time that leads to a finite average.
And even if not it could turn out that we might want to value life years lived with a subjective weight that falls over time causing the average to be finite.
One could get infinite life expectancy in a finite universe if his timeline is circular. But the capability to survive the end of the universe also assume the capability to overcome its finite state. And if mathematical universe theory is true, it is infinite. Even if the universe is finite, there are ways to leave it, like acasual trade with other universes.
Will these other things stop all FAIs or some share of them will survive?
Some FAIs may solve suicide by dividing a person’s mind into two parts: a part which wants to live and which doesn’t want. The second one will be terminated.
If FAI appears, it could improve quality of life, so it will be more and more interesting every year. Or it could find other ways to solve finiteness of expected utility. Anyway, utility was not a part of the OP question.
The universe is not actually infinite.
And even if it were, there could be other things out there that could stop an FAI.
And even if there are not, people could still choose to die with a certain probability over time that leads to a finite average.
And even if not it could turn out that we might want to value life years lived with a subjective weight that falls over time causing the average to be finite.
One could get infinite life expectancy in a finite universe if his timeline is circular. But the capability to survive the end of the universe also assume the capability to overcome its finite state. And if mathematical universe theory is true, it is infinite. Even if the universe is finite, there are ways to leave it, like acasual trade with other universes.
Will these other things stop all FAIs or some share of them will survive?
Some FAIs may solve suicide by dividing a person’s mind into two parts: a part which wants to live and which doesn’t want. The second one will be terminated.
If FAI appears, it could improve quality of life, so it will be more and more interesting every year. Or it could find other ways to solve finiteness of expected utility. Anyway, utility was not a part of the OP question.