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You can be truly infinite-dimensional without there being an endpoint to the series of embedded higher-dimensional spaces, which is what High 1-B+ would entail there.
Also I did this:
https://vsbattles.fandom.com/wiki/User:Ultima_Reality/non...
If that part is taken out of the way, then the rest of the point collapses as well, since the crux of the matter is precisely that (1,1,1,1...) is simply not contained in countably infinite-dimensional space to begin with. Encompassing the axes (1,0,0,0,...), (1,1,0,0,...), (1,1,1,0,...), and...
I'd deny the premise of that argument. For there to be a similar proportion between each layer (That is, X > Y if X dimensionally transcends Y), it would have to be meaningfully larger, and so the equality of gaps that you describe can't exist to begin with. Otherwise it wouldn't be a legitimate...
That depends wholly on what "meaningfully larger" is said with respect to. You can't be meaningfully larger than a line by being a square in terms of cardinality, but you can be meaningfully larger than it in terms of measure.
Now, with regards to this specific case, we would expect each layer...
The example given is already justification enough, and it's been sufficiently expounded on, already. More on that down below.
I don't know what you mean with that first paragraph at all.
This hypothetical sounds like it goes:
Infinite Layers < Layer ω < Layer ω+1.
In which case, I'd rate the...
Shit gets weird in infinite dimensions. That's really all there is to it. I mean, you'd certainly think R^N (The space of all sequences) would have only countably-many dimensions, but that is just not the case.
In more practical wiki terms, this should be intuitively obvious, too. A space...
Not really what I've said, no. There is a difference between "Take an infinite-dimensional space and then try to add a single new axis to it" and "Take an infinite-dimensional space and then have a space of an even higher order encompassing it." That's why I've been speaking not in terms of...
Infinite. And would also fall under the same boat as (1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,....).
I wonder if the issue is that you're thinking of it in terms of adding axes to a space, so that you're thinking I'm saying infinite dimensions + 1 dimension is High 1-B+. Is this it?
It does have an ω-th element. Obviously, in the set of sequences, (1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,....) corresponds to a coordinate in 1-dimensional space, (1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,....) corresponds to coordinates in 2-dimensional space, (1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,....)...
That's not how I would put it, no. To draw from the earlier comparison: A High 1-B character would just be something that simultaneously exists across an entire hierarchy of ascending higher-dimensional spaces, but one in which there is no ωth level to it. A character who exists across all these...
Not quite, no. DT's already explained it at length here, but in summary: The space of all finite sequences has no sequence of coordinates that goes on infinitely, as said, and so a being that occupies the coordinates (planck length,planck length,planck length,planck length,planck length,planck...
Meeeeeeeh. Too much work for little benefit, I think. Especially given that some of the pages (Creation, Omnipresence and Omniscience, namely) are so barebones they could also use more general touch-ups than "Include a type exclusive to 0s in the page," whereas Acausality already accounts for...
There seems to be a misunderstanding here. The point is that High 1-B is a space in which there is an infinite number of sequences of coordinates, but no sequence that actually goes on forever. Meanwhile, the space in which there are such infinitely-long sequences has uncountably infinite...
True.
That's a pretty incoherent point. The hypothetical being rare doesn't mean it's not worth to note it down somewhere. Seeing as you're not even contesting the validity of it being a valid example of High 1-B+, I see no reason to remove it.
I'd say so? Since then the verse would shift the...
Happy to discuss that in the main thread. Ordinarily, I'd agree, but this bit of information seemed to be way too tightly bound-up with something that falls under the general concept of BDE to not note it down on that page. If nothing else, I'd feature it both in it and in the generic pages...
Part of it was also given in the new Beyond-Dimensional Existence page. The example being that if a realm/character/whatever is aspatial and atemporal and yet simultaneously shown to dwarf normal reality by some size analogue (The Void from Lucifer is probably one of the best examples), it fits...
Needs to specifically involve the technical terminology necessary to get to those tiers. So, for instance, High 1-A+ would need to decently expound on logical possibilities and related concepts. And even then the context would need to be pretty exact, since people aren't always using these words...
Yeah, I can see a use for the page, then. I'm not opposed to a rewritten version of it on that basis. Though I'd define the latter case-scenarios a bit more precisely; for example, a verse emphatically stating a void is aspatial, atemporal, etc, but also depicting it through spatial imagery...
That doesn't really change what I said. Think back to the example I gave: Is the 2-dimensional object in question only infinite "in comparison with a 1-D object"? Perhaps in some respect, but it's also infinite in-and-of-itself because of its extension in the x-axis. Same can apply here.
The page itself seems to exclusively refer to the "metaphysically superior" kind of cosmological layer when it talks about hierarchies. With physical and metaphysical differences being separated, you'd have to do a complete rewrite of the page for it to fit in.
I don't know how worth it that...
As it stands, none of this suffices, no. The Demon World would ultimately end up falling under the "significant size" caveat, and a description identifying it as infinite doesn't do much to appease that. Mostly because it is obviously possible to be finite with respect to one axis, but not...
By the way, I ignored them because I don't take umbrage at any of the insinuations above, really. I class myself as just scaling wherever my reasoning leads me, but I am obviously not infallible, and I have no problem with the idea of there being other people around to keep my biases in check...
1. Yeah, though I'll probably expand those types a bit, later.
2. Yeah, insofar as the character is greater than any single dimensional space. Most applications of the ability (e.g. Reducing dimensionality) probably don't make sense when applied to characters like that, either.
1. Yeah.
2. Depends on whether the verse counts the laws of logic as among the mathematical conditions that might cause a universe to be instantiated in it.
3. Yeah. Unless it falls under the stipulations in the FAQ.
4. Under certain stipulations.
5. No, infinite layers into High 1-A is not...
Might be fine. See below for the reason I put that in.
True.
"Levels of infinity" would give off the impression that the new Tiering System still works off on some ill-defined notion that can be equated both to dimensional levels and to metaphysical differences, as we did before. I don't mind...
For my part: I already said that I don't have an issue with waiting. It's not like we're in any sort of rush to apply this. You can take the time you need, as far as I'm concerned.
Depends on what this "They are concepts" entails. If the pillars are all just the same undifferentiated "concept" then that's not inherently an issue, given robust enough statements. Overall boils down to the description given to them rather than the name they're called by.