Weak Entropic Function

The Weak Entropic Function is a satirical function coined by Lendri Mujina in order to mock Oblivion being treated as a well-defined number by those unfamiliar with googology and unaware of the circular reasoning that the definition for it lends itself toTumblr post defining the term. Similar to other unformaised uncomputable googolisms, it refers to unformalised syntax and semantics, which lead the ill-definedness.
The and its cousin the Strong Entropic Function are too ill-defined to be considered serious googological functions, rather than amorphous thought experiments comparable to iota function.
==Definition==
The Weak Entropic Function is defined using a modified version of the definition for Oblivion:无W(x,y) = "the largest number defined using no more than a x symbols in some K(y) 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".Therefore, Oblivion = 无W(Kungulus,Gongulus).
Turning it into a function was for the purpose of demonstrating how someone trying to define a number using that logic would be a violation of the Googology Wiki's policies (e.g. one could easily say 无W(Oblivion,Oblivion), and so on.)
== Examples ==
Assuming "symbols" only means numbers, 无W(1,1) would equal 0, as a base-1 mathematical system would not be able to define anything else. 无W(2,1) ,无W(1000,1), and 无W(Googol,1) would also equal 0, as even a Googol of zeroes does not have a value higher than zero.
无W(2,2) would equal 3, as 11 is the highest two-digit number that can be portrayed in a base-2 system. Likewise would 无W(3,3) equal 26 (222), 无W(4,4) equal 255 (3333), 无W(16,16) equal 18446744073709551615 (FFFFFFFFFFFFFFFF), and so on.
If this is correct, then Oblivion would be the highest Kungulus-digit number in a base-Gongulus system.
However, this is not the case, as "symbols" is not defined as only being numbers. It likely includes other notations, which would incidentally lead the function into the Berry's Paradox, as the function could then be inserted into itself.
This is part of the reason why Oblivion is considered ill-defined.
== Etymology ==
The name comes from the concept of entropy, strictly meaning the tendency for anything to eventually become spread out over the maximum possible area given, but commonly associated with the ultimate fate of the universe. This gives it a double meaning of being both the nature of the function — that is, providing a given space for a variable to spread out as thinly as possible — and mocking the hyperbolic, apocalyptic names of terms like "Oblivion".
The symbol "无" used is the kanji, i.e. Chinese/Japanese letter, meaning "nothingness", pronounced "mu" and sometimes associated with the concept of an eternal void. It is also the first letter of Muryoutaisuu.
== See Also ==
* The Strong Entropic Function, which does the same for Utter Oblivion.
== Sources ==
Category:Functions
Category:Unformalised
Category:Humor