Opux (!!)

Opux (!!) is the first tier VII number. It's symbol is !! because it is symbolic of being the end to the "!" numbers. After reading this page, you can read "A Closer Look Into Opux", where an analysis of the concepts in this page and the size of Opux is done.

## Suspension of Disbelief

Suspension of disbelief (shortened to SoD) is an important part of HG. SoD is where we grant all claims some sort of freedom to exist, even if otherwise they may seem false. If we suspend our disbelief for a number that claims to surpass all other numbers, this does not mean that we truly take it to be beyond all other numbers, we merely let the sentiment of the claim exist within our framework, wether the entire intention is entirely true or overridden by some other definition. SoD can minor or major. Minor SoD allows for a definition to exist but does not guarantee that it will not be overridden by some other definition or the system itself. Major SoD, however, allows for the definition to exist and grants it absolute freedom in the framework to be taken absolutely literally and not be overridden by anything else.

## Opux-Claims

An Opux-Claim is a claim that an individual definition makes is so powerful that is granted major SoD by a certain system. An Opux-Claim in HG would change HGs universal logic to allow that claim to be part of universal logic itself. Something cannot simply claim itself to be an Opux-Claim, it'd have to be an Opux-Claim to claim itself to be an Opux-Claim. An example of an Opux-Claim is "4 is less than 5", or "this is a claim that exists".

## Opux-Barrier

An Opux-Barrier is a conceptual barrier in which it is completely impossible for a concept on the lower side of the barrier to cross into the higher side of the barrier. An example of an Opux-Barrier is the Opux-Barrier between thought level 2 and thought level 3, or the Opux-Barrier between individual and universal logic. These are conceptual barriers that cannot be crossed on one side, no matter what trickery we put into play.

## Opux-Definition

An Opux-Definition is a definition that cannot be simply interpreted as a normal definition, an Opux-Definition is a definition that represents something deeper than its face value meaning. This is a variation on similar techniques used in m! and i!, but this version is created to trump those. An Opux-Definition is a definition where the face value definition is on the lower side of an Opux-Barrier and the definition that the Opux-Definition represents is on the upper side. An example of this is that ∀+'s Opux-Definition is "the largest thing we'll ever make", whereas the face value interpretation of "the largest thing we'll ever make" is merely ∀-. An Opux-Definition is merely something that represents a definition that is fully granted HG major SoD, an Opux-Definition is a definition that represents a far more powerful definition.

## Definition

The Opux-Definition of !! is as follows:

* All claims within !!'s definition and Opux-Definition are Opux-Claims.
* !! is large enough to where it can cross any Opux-Barrier.
* !! is the largest size.

## Note

Since what was shown above was only the mere Opux-Definition of !!, the true definition of !! would be completely impossible for us to come up with. This makes !! insanely large.