YORDL on Nostr: Nice! It's kind of fun to think about how something special happens when you break ...

Nice! It's kind of fun to think about how something special happens when you break through to an infinite sequence, that isn't present when you work with ALL finite sequences, since intuitively it sorta feels like the same thing. But it's like there's some sort of explosion into something new.
Concretely speaking, as I know that was vague, the count of all finite sequences of 0s and 1s (of any length) doesn't feel like it should be that different from the count of sequences of infinite (countable infinite) length, as that just feels like one extra step out in a way, but it's way more.