Circulation and the Fast-Growing Hierarchy
(06/07/2022, 01:48 AM)Catullus Wrote: I wonder how omega minus one would behave in some sort of extension of the Fast-growing hierarchy. I know omega minus one is not an ordinal. But it is a Hyperreal number.
[Image: svg.image?f_%7B\omega-1%7D(x)] would a be a sequence, such that when applied x time to x it results in [Image: svg.image?f_\omega(x)]. What about extending the Fast-growing hierarchy to other Hyperreals? such as omega minus 2?
Extending the Fast-growing hierarchy to things like [Image: svg.image?f_%7B\omega-1%7D(x)] has already been discussed here.
Please remember to stay hydrated.
ฅ(ミ⚈ ﻌ ⚈ミ)ฅ Sincerely: Catullus /ᐠ_ ꞈ _ᐟ\

Possibly Related Threads…
Thread Author Replies Views Last Post
Question Complex Fast-Growing Hierarchy Catullus 3 237 11/09/2022, 05:57 PM
Last Post: MphLee
  Grzegorczyk hierarchy vs Iterated differential equations? MphLee 0 4,128 01/03/2015, 11:02 PM
Last Post: MphLee
  Functional super-iteration and hierarchy of functional hyper-iterations Base-Acid Tetration 24 53,891 05/12/2009, 07:11 AM
Last Post: bo198214
  the logical hierarchy tommy1729 3 8,204 02/08/2009, 10:53 PM
Last Post: bo198214

Users browsing this thread: 1 Guest(s)