Ultimate Oblivion

Ultimate Oblivion is allegedly the largest googolism coined by HaydenTheGoogologist2009.Hayden's Big Numbers. Retrieved 2022-06-04. It is defined as "the largest finite number that can be uniquely defined using no more than an Utter Oblivion symbols in some K(Utter Oblivion) system in some K2(Utter Oblivion) 2-system in some K3(Utter Oblivion) 3-system in some K4(Utter Oblivion) 4-system in some... KUtter Oblivion(Utter Oblivion) Utter Oblivion-system where the number Utter Oblivion can be represented with one symbol (byte).", where a Km(n) m-system is an arbitrary well-defined system of mathematics that can generate K(m-1)(n) (m-1)-systems and which can be uniquely described in at most n symbols and a K1(n) system is an arbitrary well-defined system of mathematics which can be uniquely described in n symbols.
It was created to be absolutely larger than BIG FOOT, as Bowers (allegedly) feared that the 10 in its definition (which simply means recursion) may have referred to something like "start with a K(10,000) system then find a maximum number MK(10,000) then use a K(MK(10,000)) system and repeat it 10 times", which would have made BIG FOOT larger than Utter Oblivion. On the other hand, BIG FOOT turned out to be ill-defined, and hence this comparison does not make sense.
As with its smaller and older counterparts (i.e. Oblivion and his extension Utter Oblivion, it is doubtlessly ill-defined because it is not formalized.
Googology Wiki user DeepLineMadom pointed out that the number is a naive extension per his blog post.
==History of sources==
The number was first described in "Hayden's Big Numbers", but was later moved from itHayden's Big Numbers. Retrieved 2022-06-05. to "My uncomputable numbers" in the same website.My uncomputable numbers. Retrieved 2022-06-05.
== See also ==
*Busy beaver function
*Rayo's number
*BIG FOOT
*Xi function
*Bowers Exploding Array Function
*Oblivion
*Utter Oblivion
*Jonathan Bowers
==Sources==
Category:Numbers
Category:Numbers by HaydenTheGoogologist2009
Category:Unformalised
Category:Numbers based off of Rayo's number
Category:Naive extensions