I do find myself genuinely confused about how to assign a probability distribution to this kind of question. It’s one of the main things that draws me to things like Tegmark’s mathematical universe/ultimate ensemble, or the simulation hypothesis. In some sense I consider the simplest answer to be “All possible universes exist, therefore it is guaranteed that there is a me that sees the world I see.”
While I agree with the mathematical universe hypothesis/ultimate ensemble/simulation hypothesis, this wasn’t really my point, and it was just pointing out examples of probability 0⁄1 sets in real life where you cannot extend them into something that never/always happens.
This didn’t depend on any of the 3 hypotheses you generated here, 1 follows solely from the uniform probability distribution for real numbers, and the other is essentially measuring asymptotic density.
I do find myself genuinely confused about how to assign a probability distribution to this kind of question. It’s one of the main things that draws me to things like Tegmark’s mathematical universe/ultimate ensemble, or the simulation hypothesis. In some sense I consider the simplest answer to be “All possible universes exist, therefore it is guaranteed that there is a me that sees the world I see.”
While I agree with the mathematical universe hypothesis/ultimate ensemble/simulation hypothesis, this wasn’t really my point, and it was just pointing out examples of probability 0⁄1 sets in real life where you cannot extend them into something that never/always happens.
This didn’t depend on any of the 3 hypotheses you generated here, 1 follows solely from the uniform probability distribution for real numbers, and the other is essentially measuring asymptotic density.