That would be interesting to you?
Here's a taste - imagine a train car with infinitely many seats (1,2,3...) and stops at station 1, 2, 3, ... , omega (the first infinite ordinal - the number just above these) which is the last stop. At station 0, 1 person on, at station 1 1 gets off and 1 gets off, at station 2 1 off and 2 on, etc. How many passengers are on at omega station?
ZERO!
I did not think my Friday night could get any more exciting! But it did! And I owe it all to you nostr:npub162zpxufpw8pnuytaf0gfxzkqtvk9rvcwkvppa7x57y3n7qkfpg4shatdhy
I’ve just spent much of it down a rabbit hole of what the hell are you on about and where do I even start.
Which finally lead me to this entertaining enigma. And wow! He was right. Mind blown. 🤯
https://joshkerr.com/mind-blown-the-fast-growing-hierarchy-for-laymen-aka-enormous-numbers/
My brain hurts now.
Coming back to your question: Would it be interesting to me? Apparently yes, given I’ve just spent the last hour and a bit looking at ordinal visualisations and reading about weird maths.
Oh and if you really want to hook me in, show me pretty visualisations. They help me connect to the numbers. And if I don’t understand the numbers, I can at least look at pretty pictures.
As for your train question - does the answer have to do with the ordinal number itself?
At w = +w-w=0
Please feel free to laugh if I’ve completely misunderstood. In no universe would anyone call me good at maths.
I’m now sucked in and I genuinely would like to understand the answer.
Also don’t judge me for saying maths. It’s an Aussie thing.
Lemme get back to you properly later today when I've got time. Morning things happening!
I could ramble on for a long time on this. Back later 👀
nostr:npub1dtf79g6grzc48jqlfrzc7389rx08kn7gm03hsy9qqrww8jgtwaqq64hgu0 was this the same article you once linked me, or is it just a very similar one? Looks a tad different than I remember it
no, but it’s a good one!
If you want to get a sense of how insane even the E0 level is, the Goodstein meta function discussed here is on that level of the hierarchy. Grows VERY fast, just not as fast as TREE(3).
Ah yes, I think I watched this when you recommended it. And I may also have browsed the above article (or something very similar), just wanted to be sure.
Btw, I may tag you in later post regarding infinite subway, if I take time to write up some highlights later. It's just paraphrasing someone else, but it's such a cool concept, and very in line with your fascination on growing numbers. Hope you don't mind
