Googology Wiki:Finite numbers only

is about very large numbers. But no matter how large these numbers are, they are all finite.

You're probably used to using numbers like "zillion," "bajillion," "sillion," etc. as hyperbole. These numbers don't have any finite values and could be called infinite. Although people do study these numbers, does not consider these numbers true "large numbers" as they are indefinite, so pages on indefinitely large numbers are prohibited.

Of course, this doesn't mean that doesn't accept numbers so huge that they could be considered indefinite. For example, numbers like the meameamealokkapoowa oompa, the largest number on Jonathan Bower's list, are extremely huge, but it is easy to prove that this number is finite, as all results with finite inputs are in BEAF. Since the number, although impossibly large, is finite, accepts it.