A Closer Look Into Opux

This page focuses on the number Opux (!!), here we will look into more depth about things in there because there is lots to explore.

## Consequences of Opux-Claims and their collapse

One part of the Opux page focuses on Opux-Claims. These are claims that manage to get past universal logic to have major SoD applied to them. There seems to be 3 mains ways of doing this: 1) you restate something that must already be true in the universal logic. This is how almost every Opux-Claim in almost every non-Hyperological or beyond system works), 2) you create an effective enough cheat such that in some minor way it can directly affect universal logic, this is rare and only usually happens in minor ways but definitely possible. When this version is used it is mostly a consequence that is read only between the lines, or is minor part of a claim. Finally, 3) you simply create a universal logic above the universal logic you are working in, an example of this is sHO, this 3rd way is unproductive and usually invalid within the sub-universal logic itself and should be avoided because as soon as you try and apply it to the sub-universal logic you just end up with a regular claim within that field instead of an Opux-Claim. This 3rd method should only be used if you want to work within a new field entirely. Collapsed Opux-Claims are a very very effective tool, and they are either directly or indirectly used within every HG definition to varying levels of success. A collapsed Opux-Claim is effectively just a claim with enhanced trueness due to some cheat or trick, for example the self-backing-up trick where a claim claims itself to be true within the universal logic, thus backing itself up in an infinite cycle. An effective cheat brings the given claim as close to an Opux-Claim as possible.

## Consequences of Opux-Barriers and their collapse

Opux-Barriers are arguably the most powerful thing within the Opux page when uncollapsed. They are essentially any uncrossable conceptual barriers. These are some of the most mind bending things within HG. Though levels for example are a sequence of Opux-Barriers as for a though level 2 object to cross into thought level 3 it must directly affect real life, which would require some serious black magic fuckery to do and definitely wouldn't be possible for us mere sub-omnipotents to do. A scarily powerful affect of Opux-Barriers is that for any Opux-Barrier we can find an even more powerful Opux-Barrier; for example let's take the Opux-Barrier between thought level 2 and thought level 3, we can then take this Opux-Barrier and then apply it to thought level 3, giving us thought level 4. I will call this Opux-Barrier Transcendent Application (OBTA). If we take the Opux-Barrier between the physical and the abstract, we can then apply OBTA to that to get something even more abstract than abstract which can be seen in x\*. In HG Opux-Barriers are often collapsed, for example thought level 3 is collapsed down to thought level 2, however some Opux-Barriers require a far more complex form of collapse through multiple Opux-Barriers which is true for Opux itself.

## Consequences of Opux-Definitions and their collapse

Opux-Definitions are a very interesting concept, they basically allow us to talk about the feel of a definition instead of the definition itself. An Opux-Definition is a collapsed version of talking about an uncollapsed concept, Opux-Definitions are effectively definitions that describe other definitions while being uncollapsed enough such that they are type 3 Opux-Claims. However, since we are operating in HG Opux-Definitions are hugely collapsed, Opux-Definitions in their collapsed form kind of operate as very complex cheats that make the definition which is described by the Opux-Definition far closer to an Opux-Claim, another interesting point is that these Opux-Definitions in their collapsed form essentially describe themselves too. Opux-Definitions are an effective way at getting as close to type 3 Opux-Claims as we can within the confines of HG. The extent to which collapsed Opux-Definitions truly describe ineffable definitions is muddy and complex.

## How Opux works in HG

Now it's time to take a look at Opux as the number itself, I will only be describing the collapsed HG form here and not the uncollapsed HG-invalid version. The first thing we are told is that the definition ahead is merely an Opux-Definition, and from here we are given 3 points:

* 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.

Let's first look at the first point, "All claims within !!'s definition and Opux-Definition are Opux-Claims.", at first this looks like a simple self backing statement, it claims it is true within the bigger picture which means that the claim that this is true must be true which means it's true and so on in an infinite loop. But, in fact it is far far more powerful than this. First we must take into account that this is an Opux-Definition so we are forced to suspend our disbelief and accept that this line must actually be true, backing itself and the whole definition and the fact that it's an Opux-Definition up on a far more powerful level than a self backing infinite loop, because within self backing infinite loops we give the statement no suspension of disbelief and we merely rely on the cheat power. We must also take into account that this first point also says that this is true for its Opux-Definition too, meaning that all this is put under another layer of insanity. Now time for the second point, "!! is large enough to where it can cross any Opux-Barrier.", this takes everything we've discussed before and elevates it to a new level. Since !! can cross any Opux-Barrier it must be able to cross the barrier from false to true, claim to Opux-Claim, definition to Opux-Definition and all OBTA, including OBTA itself creating a higher form of OBTA and a higher form of Opux-Barriers themselves which it then must be able to cross, this also just scratches the surface. This greatly enhances the first point, as instead of being a mere claim or Opux-Claim, it can use OBTA or any other higher forms of OBTA to transcend into even stronger forms of claims, backing the whole definition up including the 2nd part, which itself is just a high form of a self backing infinite loop cheat, meaning that it can also use OBTA and higher forms of that. This also greatly affects the part before the 3 points that says that all these points are merely Opux-Definitions as now it can cross the barrier from definition to Opux-Definition. Then there is the 3rd point, which is some sort of claim to be the largest size, this may seem unimportant but it is actually a very functional part of the definition/Opux-Definition. This 3rd part basically ensures that the other 2 points are actually working towards some goal, it may not be the most important part but it does protect Opux from any claims that it isn't big because its power is waisted. Now we must discuss the collapse of Opux. Since Opux exists within HG, it must be collapsed in order for it to work, however the tools used within the definition ensure that this collapse is as light as possible. Perhaps the most important part of ensuring that the collapse won't completely nerf it is the first bit that states that the following definition is merely an Opux-Definition, the collapse does not collapse Opux-Definition into a run of the mill definition where everything is simply just a regular claim, but instead it ensures that this definition is as close to an Opux-Definition as possible, meaning that under collapsed Opux is only slightly changed. All these tricks work together making sure that Opux is huge... scarily huge. I'm not sure when Opux will be beaten but it will certainly take a while.