Am I correct in assessing that your solution is to stop when you can no longer comprehend the value in the box? That is, when an additional doubling has no subjective meaning to you? (Until that point, you’re not in a state loop, as the value with each doubling provides an input you haven’t encountered before.)
I was about to suggest stopping when you have more utilons than your brain has states (provided you could measure such), but then it occurred to me the solutions might be analogous, even if they arrive at different numbers.
I wouldn’t want to stop when I couldn’t comprehend what was in the box. I always want more utility, whether I can understand that I have it or not. My solution is to wait as long as you can before waiting any longer puts you in an infinite loop and guarantees you will never get any.
As long as you comprehend the number in the box, you’re not in an infinite loop. The input is different. Once the number is no longer meaningful, you’re potentially in an infinite loop; the input is the same.
I’m pretty sure I could stay out of an infinite loop much longer than I could comprehend what was in the box. The contents of the box are growing exponentially with the number of days. If I just count the number of days, I can stay in the realm of small numbers much longer.
Am I correct in assessing that your solution is to stop when you can no longer comprehend the value in the box? That is, when an additional doubling has no subjective meaning to you? (Until that point, you’re not in a state loop, as the value with each doubling provides an input you haven’t encountered before.)
I was about to suggest stopping when you have more utilons than your brain has states (provided you could measure such), but then it occurred to me the solutions might be analogous, even if they arrive at different numbers.
I wouldn’t want to stop when I couldn’t comprehend what was in the box. I always want more utility, whether I can understand that I have it or not. My solution is to wait as long as you can before waiting any longer puts you in an infinite loop and guarantees you will never get any.
As long as you comprehend the number in the box, you’re not in an infinite loop. The input is different. Once the number is no longer meaningful, you’re potentially in an infinite loop; the input is the same.
I’m pretty sure I could stay out of an infinite loop much longer than I could comprehend what was in the box. The contents of the box are growing exponentially with the number of days. If I just count the number of days, I can stay in the realm of small numbers much longer.