Comment by nkrisc
3 hours ago
There must be some physical limit to our cognitive capacity.
We can “store” infinite numbers by using our numeral system as a generator of sorts for whatever the next number must be without actually having to remember infinite numbers, but I do not believe it would be physically possible to literally remember every item in some infinite set.
Sure, maybe we’ve gotten lazy about memorizing things and our true capacity is higher (maybe very much so), but there is still some limit.
Additionally, the practical limit will be very different for different people. Our brains are not all the same.
I agree, it must not be literally infinite, I shouldn’t have said that. But it may be effectively infinite. My strong suspicion is that most of us are nowhere close to whatever the limit is.
Think about how we talk about exercise. Yes, there probably is a theoretical limit to how fast any human could run, and maybe Olympic athletes are close to that, but most of us aren’t. Also, if you want your arms to get stronger, it isn’t bad to also exercise your legs; your leg muscles don’t somehow pull strength away from your arm muscles.