ciphergoth’s post was at the level w (omega). Posts about ciphergoth’s post and posts about those resulting posts are at level w + 1, w + 2, etc. Posts about that entire sequence of posts would be level 2w. Then you can talk about the sequence (w, 2w, 3w, 4w, …) itself. The recursive tower seems endless, but there actually is a least upper bound, and that bound is the Church-Kleene ordinal.
Upvoted.
You could easily generate most of your karma being cleverly meta and self-referential.
Upvoted.
Upvoted to give you your 50,000th karma :-)
Is there any bound to the number of levels this works at? And if so, is this post at level omega?
Churck-Kleene ordinal!
Was that just ordinal-dropping, or is there actually a reason why that particular ordinal has something to do with this situation?
ciphergoth’s post was at the level w (omega). Posts about ciphergoth’s post and posts about those resulting posts are at level w + 1, w + 2, etc. Posts about that entire sequence of posts would be level 2w. Then you can talk about the sequence (w, 2w, 3w, 4w, …) itself. The recursive tower seems endless, but there actually is a least upper bound, and that bound is the Church-Kleene ordinal.
Ok, you get 100 w.
If anyone wants some w+1, 2w, etc, please explain why.
I doubt it.
Well since it mentioned level omega, it has to be at level omega +1...