I coined some numbers based on oblivion, because of that, they are ill-defined because they are not formalized.
*: not coined by me
True of Real (Class 20: Uncomputable numbers)
Defined as 'the largest number defined using no more than a Mega Super Even More Godder End Santanic Never True Absolute Godly Ultimate Omega Mega Super Even More Godder End Santanic Never True Absolute Godly Ultimate Omega Mega Super Even More Godder End Fastium symbols in some K(Mega Super Even More Godder End Santanic Never True Absolute Godly Ultimate Omega Mega Super Even More Godder End Santanic Never True Absolute Godly Ultimate Omega Mega Super Even More Godder End Fastium) system', where a 'K(n) system' is a 'complete and well-defined system of mathematics that can be described with no more than n symbols'.
Truest of Real (Class 20: Uncomputable numbers)
Defined as 'the largest finite number that can be uniquely defined using no more than a True of Real symbols in some K(True of Real) system in some K2(True of Real) 2-system in some K3(True of Real) 3-system in some K4(True of Real) 4-system in some ......... KTrue of Real(True of Real) True of Real-system where the number True of Real 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.
Ultimate Oblivion (Class 20: Uncomputable numbers)
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 counterparts, it is doubtlessly ill-defined because it is not formalized.
Hyper Oblivion (Class 20: Uncomputable numbers)*
Defined as "the largest finite number that can be uniquely defined using no more than an Ultimate Oblivion symbols in some K(Ultimate Oblivion) system in some K2(Ultimate Oblivion) 2-system in some K3(Ultimate Oblivion) 3-system in some K4(Ultimate Oblivion) 4-system in some ......... KUltimate Oblivion(Ultimate Oblivion) Ultimate Oblivion-system where the number Ultimate 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.
Ultra Oblivion (Class 20: Uncomputable numbers)
Defined as "the largest finite number that can be uniquely defined using no more than a Hyper Oblivion symbols in some K(Hyper Oblivion) system in some K2(Hyper Oblivion) 2-system in some K3(Hyper Oblivion) 3-system in some K4(Hyper Oblivion) 4-system in some ......... KHyper Oblivion(Hyper Oblivion) Hyper Oblivion-system where the number Hyper 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.
Omni Oblivion (Class 20: Uncomputable numbers)
Defined as "the largest finite number that can be uniquely defined using no more than an Ultra Oblivion symbols in some K(Ultra Oblivion) system in some K2(Ultra Oblivion) 2-system in some K3(Ultra Oblivion) 3-system in some K4(Ultra Oblivion) 4-system in some ......... KUltra Oblivion(Ultra Oblivion) Ultra Oblivion-system where the number Ultra 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.
True Oblivion (Class 20: Uncomputable numbers)
Defined as "the largest finite number that can be uniquely defined using no more than an Omni Oblivion symbols in some K(Omni Oblivion) system in some K2(Omni Oblivion) 2-system in some K3(Omni Oblivion) 3-system in some K4(Omni Oblivion) 4-system in some ......... KOmni Oblivion(Omni Oblivion) Omni Oblivion-system where the number Omni 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.
Supreme Oblivion (Class 20: Uncomputable numbers)
Defined as "the largest finite number that can be uniquely defined using no more than a True Oblivion symbols in some K(True Oblivion) system in some K2(True Oblivion) 2-system in some K3(True Oblivion) 3-system in some K4(True Oblivion) 4-system in some ......... KTrue Oblivion(True Oblivion) True Oblivion-system where the number True 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.
Composite Oblivion = a_{Croutonillion} (Class 20: Uncomputable numbers)
a_n can be computed in the following process:
Let a_1 = Oblivion (1st Oblivion) = Sam(0) in DeepLineMadom's Sam function.
Let a_2 = Utter Oblivion (2nd Oblivion) = Sam(1).
Let a_3 = Ultimate Oblivion (3rd Oblivion) = Sam(2).
Let a_4 = Hyper Oblivion (4th Oblivion) = Sam(3).
Let a_5 = Ultra Oblivion (5th Oblivion) = Sam(4).
Let a_6 = Omni Oblivion (6th Oblivion) = Sam(5).
Let a_7 = True Oblivion (7th Oblivion) = Sam(6).
Let a_8 = Supreme Oblivion (8th Oblivion) = Sam(7).
Continue, letting a_n = n-th Oblivion = Sam(n - 1).
Composite Oblivion is a_{Croutonillion}. It's also equal to Sam(Croutonillion - 1).
Truest of Cycles (Class 20: Uncomputable numbers)
Defined as 'the largest finite number that can be uniquely defined using no more than a Truest of Real symbols in some K(Truest of Real) system in some K2(Truest of Real) 2-system in some K3(Truest of Real) 3-system in some K4(Truest of Real) 4-system in some ......... KTruest of Real(Truest of Real) Truest of Real-system, with Truest of Real cycles, where the number Truest of Real 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, and 'cycles' can be represented using complete recursion-based diagonalization under the fundamental sequence 'True of Real, Truest of Real, ...'.
This number is intended to be far larger than Utter oblivion and my Ultimate Oblivion, Hyper Oblivion, Ultra Oblivion, Onmi Oblivion, True Oblivion, Supreme Oblivion, and Composite Oblivion.
Truest of Everything (Class 20: Uncomputable numbers)
Defined as 'the largest finite number that can be uniquely defined using no more than a Truest of Real symbols in some K(Truest of Cycles) system in some K2(Truest of Cycles) 2-system in some K3(Truest of Cycles) 3-system in some K4(Truest of Cycles) 4-system in some ......... Ktruest of cycles(Truest of Cycles) Truest of Cycles-system, with Truest of Cycles phrases, where the number Truest of Cycles 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, and 'phrases' can be represented using complete recursion-based diagonalization under the fundamental sequence 'Truest of Cycles, ...'.
This number is intended to be far larger than Truest of Cycles.