Fictional Googology Wiki

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Fictional Googology Wiki
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FG field limits (which I will refer to as FGFL for the remainder of this page) is not a singular number, but is rather a collection of specific fields. It is expressed as Fα, where α is just any number or whatever.

Definition[]

Fx is defined as the αth field outside of FG. F0 refers to all of the Googology and Apeirology field, thus the limit being Absolute Infinity. F1 refers to Hypergoogology, Hyperology, and sHO. F2 refers to MBCism, Questionism, and Void's Field Limits, with the limit being V-Lock. F3 refers to stronger versions of Void's Field Limits, such as Hard-V-Lock. F4 refers to all classes within the "List of numbers (all classes)" page. The limit, obviously, being whatever the final thing on that page is. F5 refers to all of Fictional Googology as a whole as a field. Past F5, there is nothing on this wiki that is bigger. However, other wiki's could be bigger. For example, a hypothetical "Post-Fictional Googology Wiki" would be F6. At Fω, we would require infinite wikis to reach this field, thus it would be impossible. Past that, it's really hard to define what the fields would be.

F-Lock[]

F-Lock is pretty self explanatory; It's the first point in which Fx no longer 'increases' a number. Like V-Lock, it is NOT just F0 after Fx; It's way, way beyond that.

1-Fₓ[]

1-Fx is an extension of the Fx notation; 1-Fx is actually completely normal, up until 1-F5. 1-F5 is the field of fictional googology, but including F5 as a part of fictional googology, making it incomparably larger than F5; thus meaning that 1-F6 would include F6 as a part of Fictional Googology as a whole as well. This applies for 1-Fₓ as a whole, even 1-F-Lock. Now, 2-Fx is also normal up until 2-F5, at which point it includes 1-F5 as a part of fictional googology. Overall, α-F5 includes (α-1)-F5 as a part of fictional googology, each time α increases, it gets bigger. Note that despite using -1 in the notation, this is merely as a simplified notation, and is not actually subtracting anything. If it was subtracting anything, that would be contradictory with E0 (not epsilon nought), which is only F1. Note that for x<5, α-Fx is simply equal to Fx.

Full-Fₓ[]

Full-Fx is simply the limit of α-Fx. Again, no, it is not fixed point of α-Fx, the E0 or Fx limit of α-Fx, or anything like that; It is way, way larger. Full-Fx refers to a point in which increasing α in α-Fx would no longer have an effect. Specifically, Full-F5 is the absolute biggest point that can be contained by the Fictional Googology Wiki. Anything larger would have to genuinely be moved to another wiki. Full-F6 is the same for a hypothetical Post-FG wiki, and so on. Full-Fω would be genuinely unattainable, meaning it would not be able to have a designated wiki for it; It could only be imagined. Full-F-Lock would be even more unattainable, being the lock point of Full-Fx.

It's important to remember that Fx is never a singular number; However, when you get far enough, the difference is basically meaningless, because there's a 0% chance anyone is going to make more than 1 number for, like, the 1,023,012,300,384th wiki.

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