Absolute Infinity

Absolute Infinity
Symbol	Ω/ת
Entry Information
Scale(s)	२ Tielem (Class II) २ BBN Level 1 (Infinitesimal)
BBN Abmetric Index	[3.00]
Creator	Georg Cantor (1845-1918)
Field	Apeirology
Definition Information
Well-defined?	Probably
Comparsion
Larger Entries	Absolutely Everything, and this entire wiki.
Smaller Entries	All of Standard Googology.

View the Standard Googology version Here.

“	The actual infinite was distinguished by three relations: first, as it is realized in the supreme perfection, in the completely independent, extra worldly existence, in Deo, where I call it absolute infinite or simply absolute; second to the extent that it is represented in the dependent, creatural world; third as it can be conceived in abstracto in thought as a mathematical magnitude, number or order type. In the latter two relations, where it obviously reveals itself as limited and capable for further proliferation and hence familiar to the finite, I call it Transfinitum and strongly contrast it with the absolute.	”
- Georg Cantor

Basic Information

Absolute infinity (Ω/ת) is intended to serve as the supremum of all transfinite cardinals and ordinals. This idea has been proposed by Georg Cantor, and is denoted as ת or Ω. Cantor has linked this concept to the Abrahamic God. This satisfies the full reflection principle: "All cardinality properties are satisfied in this number,^[1] which held by a smaller cardinal." It is the true limit of Standard Googology ("Numbers" don't make sense pass this point), the very beginning of Fictional Googology, and all other paths, -ologies, and concepts.

It is also a paradoxical number which claim "no number can have a higher well-ordering in a set, and bigger than this."

There's way more "numbers" (Fictional Numbers) past Absolute infinity [Ω] and there's way less than [-Ω], as discovered since 2021.

Even though Absolute infinity is a 'number', it can not be defined as it is paradoxical in nature because no one number could represent all 'real' numbers.

Size

Absolute Infinity is past all the ordinals, cardinals, and finite numbers. Its size is so gargantuan it cannot be expressed, considering the fact that it's past anything reachable from below. Even still, it's just a Class 2 Infinity. It is basically the smallest of the infinities in Fictional Googology.

It would be only the biggest cardinal if one didn't define well-orderings and infinite axioms based on multi-sorted logic.

Well-Definedness

Even though this server doesn't care about how well-defined something is, it's still good to provide an attempt at a definition. The definition for absolute infinity is a number which is bigger than any conceivable or inconceivable quantity, either finite or transfinite. (Edit from i do not like saws: There is a real definition but it's VERY hard to explain. (This makes it well-defined.))

...

As zeroidisms danced and finites awoke, a surge of energy was felt across the Fictobox. The infinities had risen. The end was nigh.

Trivia

• Absolute Infinity introduces many paradoxes involving this number. One example is the Burali-Forti Paradox, which involves the set of all well-ordering sets.
• Absolute Infinity could actually be well defined, but if we wanna go past it, it's suddenly not well defined anymore.

Ordinal Level 18, 19, 20 and 21
Absolute Infinity - Absolutely Everything - Absolutely Infinity Multiverse - Absolutely Infinity Everythingverse - Absolutely Infinity Kiloverse - Absolutely Infinity Superverse - Absolutely Infinity Megaverse - Absolutely Infinity Gigaverse - Absolutely Infinity Ultraverse - Absolutely Infinity Ultimate Universe - Absolutely Infinity Ultimate Everything - Absolutely Infinity Ultimate Multiverse - Absolutely Infinity Ultimate Kiloverse - Absolutely Infinity Ultimate Superverse - Absolutely Infinity Ultimate Megaverse - Absolutely Infinity Ultimate Gigaverse - Absolutely Infinity Ultimate Ultraverse - Absolutely Infinity Kilo-Ultimate Universe