3 ms·
No: with a finite amount of memory, the amount of information you can generate in infinite time is finite.
by hhm 18y ago
No: with a finite amount of memory, the amount of information you can generate in infinite time is finite.
- derefr 18y agoYou're assuming the systems themselves wouldn't grow or be upgraded over time.
- hhm 18y agoNo; I'm saying the amount of information at any given time is finite, which is what the original article was talking about. But even if there is growth in memory size (say that memory size increases linearly), the information you get at any specific instant is finite (even if unbounded)... just as you have infinite natural numbers but none of them has an infinite value. But anyway, with finite space even in infinite time you couldn't build an infinite memory. And also... the original article was talking about the size of the system at a specific instant, so growth doesn't matter here.