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Leading to yet another finite list. You will never actually end up with an infinity. You’ll run out of space, you’ll run out of time. It “exists” just like mag
by moi2388 1y ago
Leading to yet another finite list. You will never actually end up with an infinity. You’ll run out of space, you’ll run out of time.
It “exists” just like magic in Harry Potter exists. Not really.
- griffzhowl 1y agoNo one thinks you can actually write an infinite list. What it means for there to be infinitely many natural numbers is that for any finite list, there are natural numbers not on that list (something you appear to agree with). If there were finitely many natural numbers this wouldn't be true
- moi2388 1y agoSure they do. Cantors argument, infinite sums, mathematicians keep using infinite lists as if they do exist. Let’s not even begin about the axiom of choice. Or transcendental numbers.
- griffzhowl 1y agoYou're also treating the natural numbers as infinite if you think there can't be a finite list containing all of them
- moi2388 1y agoDepends. Not the way I look at them. But this discussion is getting off topic (my own fault), so perhaps we should continue it somewhere else.