I won’t speak for Jacob Pfau, but the easy answer for why infinite time horizons don’t exist is simply due to the fact that we have a finite memory capacity, so tasks that require more than a certain amount of memory simply aren’t doable.
You can at the very best (though already I’m required to deviate from real humans by assuming infinite lifespans) have time horizons that are exponentially larger than the memory capacity that you have, and this is because once you go beyond 2^B time, where B is the bits of memory, you must repeat yourself in a loop, meaning that if a task requires longer than 2^B units of time to solve, you will never be able to complete the task.
I won’t speak for Jacob Pfau, but the easy answer for why infinite time horizons don’t exist is simply due to the fact that we have a finite memory capacity, so tasks that require more than a certain amount of memory simply aren’t doable.
You can at the very best (though already I’m required to deviate from real humans by assuming infinite lifespans) have time horizons that are exponentially larger than the memory capacity that you have, and this is because once you go beyond 2^B time, where B is the bits of memory, you must repeat yourself in a loop, meaning that if a task requires longer than 2^B units of time to solve, you will never be able to complete the task.