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.
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.