Laws and Orders
#26
bo198214 Wrote:(... perhaps you can tell me, what you do with all the money before you reach your home!)
It (the money) just collapses and I implode!! Sad

It is like the my hypothetical "sublime mathematical nonsense" operator, such as:
Smn(x) := a[0]<0>(x) >< x (neq x).

The Smn() operator would be such that it could modifiy any variable x, only when (IFF) it IS NOT applied to it (or applied with ZERO iterations). Actually, this could give an idea of what "imagination" might be. Unfortunately, it was "imagined" at the rank s=0 level.

Smn(x) would not even be the contrary of the identity operator, because:
Id(x) = x, i.e.: all x's are fixpoints of Id(x) ... Wink
Nid(x) >< x, i. e.: Nid(x) has no fixpoint ! ... Sad

In fact, both Id() and Nid() are applied at least once, while Smn() is supposed to refer to a fhypothetical a[0]() operator, applied only (so to say) ZERO times. Sublime nonsense indeed!!!

Sorry about that. Having said that, I remain,
Confusingly yours

GFR
Reply


Messages In This Thread
Laws and Orders - by GFR - 04/23/2008, 09:17 AM
RE: Laws and Orders - by andydude - 04/23/2008, 11:44 AM
RE: Laws and Orders - by Ivars - 04/24/2008, 06:39 AM
RE: Laws and Orders - by GFR - 04/24/2008, 09:38 AM
RE: Laws and Orders - by Ivars - 04/24/2008, 06:24 PM
RE: Laws and Orders - by GFR - 04/25/2008, 04:40 PM
RE: Laws and Orders - by Ivars - 04/25/2008, 08:24 PM
RE: Laws and Orders - by Catullus - 06/28/2022, 06:50 AM
RE: Laws and Orders - by tommy1729 - 06/28/2022, 02:43 PM
RE: Laws and Orders - by bo198214 - 04/26/2008, 10:43 PM
RE: Laws and Orders - by GFR - 04/27/2008, 12:50 AM
RE: Laws and Orders - by bo198214 - 04/27/2008, 10:56 AM
RE: Laws and Orders - by GFR - 04/27/2008, 10:18 PM
RE: Laws and Orders - by GFR - 05/02/2008, 09:47 PM
RE: Laws and Orders - by Ivars - 05/20/2008, 07:08 PM
RE: Laws and Orders - by Ivars - 05/25/2008, 03:10 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
  [Question for Bo] about formal Ackermann laws MphLee 6 10,084 12/18/2022, 09:14 AM
Last Post: MphLee
  Thoughts on hyper-operations of rational but non-integer orders? VSO 4 13,958 06/30/2022, 11:41 PM
Last Post: MphLee



Users browsing this thread: 1 Guest(s)