Question about Low Outerverse (Low 1-A)

[CNBA3]

So from I understand, Low Outerverse, or Low 1-A or Von Neumann Universes are, they either encompass, or can affect structures which encompass, the collection including all possible dimensional spaces.

Would say a realm which contains a Hilbert Space/uncountably infinite dimensional space as an area within be considered Low 1-A Since this realm/space is held within itself? Like a small ice cube inside a drinking glass?

 

[Vietthai96]

No, that just means you are higher into High 1-B+

You need more context and evidence for this to be Low 1-A

 

[CNBA3]

No, that just means you are higher into High 1-B+

You need more context and evidence for this to be Low 1-A

I am just trying to exactly understand what the context of “encompassing the collection of all possible spaces” means as an example, like as in higher layers?

Because in the description said usually being “above dimensions” is acceptable without further context.

 

[SuperNova55555]

I am just trying to exactly understand what the context of “encompassing the collection of all possible spaces” means as an example, like as in higher layers?

Assume X is the “set of all sets that do not contain themselves”.

Since in itself, X is a set, it must mean it contains itself (since X contains all sets.) But with this, a problem arises: X must only contain sets that do not contain themselves, thus X cannot contain X otherwise it would mean that it contains a set (X) that contains itself. But then, if it doesn’t contain itself, it must be contained within itself, but if it does that, it cannot contain itself. And so you repeat this process ad infinitum.

To resolve this contradiction, X cannot be a set, rather it must be a Proper Class. A Proper Class is a collection “too large” to be a set, essentially. As such, the paradox is resolved because it no longer contains itself (since it is not a set to be contained.)

This is the core concept behind Low 1-A—Russell’s Paradox.

To relate it back to the tier: it is essentially to say that Low 1-A is a realm “too large” to be spatiotemporal. Because if it contains all possible Space-Times, it means that it itself cannot be included in any of those Space-Times, thus it transcends Space and Time by sheer size.

 

[Mythic381]

Would say a realm which contains a Hilbert Space

We don't use Hilbert spaces for dimensional scaling.

/uncountably infinite dimensional space as an area within be considered Low 1-A Since this realm/space is holds it within itself? Like a small ice cube inside a drinking glass?

No. If anything, it is stated where that would actually scale.

Characters or objects who can significantly affect, create and/or destroy infinite-dimensional space. Characters who can meddle with spaces with uncountably infinite or above dimensions should have a "+" modifier in their Attack Potency section (High Hyperverse level+).

I am just trying to exactly understand what the context of “encompassing the collection of all possible spaces” means as an example, like as in higher layers?

Think of set theory.

 

[CNBA3]

@Mythic381 from what I looked up, Hilbert Space is usable but you have to prove that it is a physical aspect to the cosmology. In this case for the thread question, it is.

Honkai Cosmology Rework

I still dont agree with low 2-c SoQ since ethee anchors are higher dimensional and transcend the bubble world they were familiar with which was stated by iron mask to be infinite 4D finite 7D and if we are saying the sea is the bulk that contains the ether anchor point, anchors, and infinite...

www.vsbattles.com

Assume X is the “set of all sets that do not contain themselves”.

Since in itself, X is a set, it must mean it contains itself (since X contains all sets.) But with this, a problem arises: X must only contain sets that do not contain themselves, thus X cannot contain X otherwise it would mean that it contains a set (X) that contains itself. But then, if it doesn’t contain itself, it must be contained within itself, but if it does that, it cannot contain itself. And so you repeat this process ad infinitum.

To resolve this contradiction, X cannot be a set, rather it must be a Proper Class. A Proper Class is a collection “too large” to be a set, essentially. As such, the paradox is resolved because it no longer contains itself (since it is not a set to be contained.)

This is the core concept behind Low 1-A—Russell’s Paradox.

To relate it back to the tier: it is essentially to say that Low 1-A is a realm “too large” to be spatiotemporal. Because if it contains all possible Space-Times, it means that it itself cannot be included in any of those Space-Times, thus it transcends Space and Time by sheer size.

Okay, I think I got it, so in that case, where this space transcends space and time reality, it is infinite in of itself and the Hilbert space is merely a part of it where they can “climb up it”. Being above infinite dimensions.

 

[SuperNova55555]

Okay, I think I got it, so in that case, where this space transcends space and time reality, it is infinite in of itself and the Hilbert space is merely a part of it where they can “climb up it”. Being above infinite dimensions.

Not sure what this entails exactly.

If you’re saying that Hilbert Space would be contained within it, yea, that’d be true. But that’s also true for any set with a cardinality bigger than R.

 

[CNBA3]

Not sure what this entails exactly.

If you’re saying that Hilbert Space would be contained within it, yea, that’d be true. But that’s also true for any set with a cardinality bigger than R.

Do you mean the "Cardinality bigger than R (set of real numbers)" regarding dimensions being something that is already uncountably infinite dimensions? If so then I mentioned that in the OP.