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Reorganization of the Tiers​


Option 1​


This is the option that has been provisionally referred to throughout the revisions. That is:

Low 1-C to High 1-B = Remains the same.

High 1-B+ = Spaces with uncountably infinite dimensions. All higher cardinal numbers land here.

Low 1-A = Sum total of all ordinary quantitative structures in mathematics. The Universe of Sets.

Option 2​


Low 1-C = 5-D (Most abundant category. Merits its own specific tier)

1-C = 6-D to 9-D (Rare. Can all be shoved down into levels of a single tier)

High 1-C = 10-D to 11-D

1-B = 12-D to Infinite-D

High 1-B = Spaces with uncountably infinite dimensions.

High 1-B+ = Spaces corresponding to inaccessible cardinals and up.

The latter options, by and large, aim to preserve the old Tiering System's broader inclusion of mathematical categories among the ratings. While I am of the mind that this is a good idea, I am honestly not sure of the best way to practically do so, seeing as we only ever had so many characters corresponding to these specific mathematical concepts, power-wise, because we equated them to metaphysical layers. Now that we separated metaphysics from mathematics, representation of the latter seems quite sparse indeed. I very much request more suggestions on this front.
My apologies for if I am saying something stupid, but would it be possible to use a combined solution of Low 1-C to High 1-B remaining the same, as in option 1, but also using High 1-B+ = Spaces with uncountably infinite dimensions; Low 1-A = Spaces corresponding to inaccessible cardinals and up; and Low 1-A+ = Sum total of all ordinary quantitative structures in mathematics. The Universe of Sets; or something similar for the sake of greater distinction, or am I just being mathematically illiterate here?
 
In terms of the options, I don't care. The differences between them are all marginal. Options 2/3 are marginally better functionally (mainly owing to the 5-D split), and Option 1 is marginally easier in terms of application (only marginally since, regardless of our choice, we would NEED to re-evaluate every tier 1 series).

I'll have a look at the page rewrites when I have more time.
 
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My apologies for if I am saying something stupid, but would it be possible to use a combined solution of Low 1-C to High 1-B remaining the same, as in option 1, but also using High 1-B+ = Spaces with uncountably infinite dimensions; Low 1-A = Spaces corresponding to inaccessible cardinals and up; and Low 1-A+ = Sum total of all ordinary quantitative structures in mathematics. The Universe of Sets; or something similar for the sake of greater distinction, or am I just being mathematically illiterate here?
Low 1-C = 5-D (Most abundant category. Merits its own specific tier)

1-C = 6-D to 9-D (Rare. Can all be shoved down into levels of a single tier)

High 1-C = 10-D to 11-D
We can also combine these solutions, if Ultima and the rest of our bureaucrats and administrators think that it is a good idea. 🙏
 
My apologies for if I am saying something stupid, but would it be possible to use a combined solution of Low 1-C to High 1-B remaining the same, as in option 1, but also using High 1-B+ = Spaces with uncountably infinite dimensions; Low 1-A = Spaces corresponding to inaccessible cardinals and up; and Low 1-A+ = Sum total of all ordinary quantitative structures in mathematics. The Universe of Sets; or something similar for the sake of greater distinction, or am I just being mathematically illiterate here?
Not too sure about that, thinking of it now. Genuinely don't know of any characters who scale specifically to an inaccessible cardinal (Remember, we only had characters at that level before because we equated metaphysical layers to dimensions).

Plus, in a less significant note, I think it'd make for worse categorizing, since Low 1-A is supposed to be "beyond all dimensional spaces but not quite qualitative yet," while inaccessibles are included in the category of things the 1-A range is meant to surpass.
 
Okay, so do you think that something like this would be a good solution then?

Low 1-C = 5-D (The most abundant category. Merits its own specific tier.)

1-C = 6-D to 9-D (Rare. Can all be shoved down into levels of a single tier.)

High 1-C = 10-D to 11-D

1-B to High 1-B remaining the same.

High 1-B+ = Spaces with uncountably infinite dimensions.

Low 1-A = Spaces corresponding to inaccessible cardinals and upwards

Or:

Low 1-A = The sum total of all ordinary quantitative structures in mathematics. The Universe of Sets.
 
Okay, so do you think that something like this would be a good solution then?

Low 1-C = 5-D (The most abundant category. Merits its own specific tier.)

1-C = 6-D to 9-D (Rare. Can all be shoved down into levels of a single tier.)

High 1-C = 10-D to 11-D

1-B to High 1-B remaining the same.

High 1-B+ = Spaces with uncountably infinite dimensions.

Low 1-A = Spaces corresponding to inaccessible cardinals and upwards

Or:

Low 1-A = The sum total of all ordinary quantitative structures in mathematics. The Universe of Sets.
Can't we extend High 1-C to cover 10-D to 26-D to better correspond to the different types of string theory if we really are moving the tiers around?
 
I suppose that might be a good idea, although in that case, should we rename our "Complex Multiverse level" tiers with "String Theory Multiverse level" instead, or would that be awkward, inappropriate, and unnecessary?
 
I suppose that might be a good idea, although in that case, should we rename "Complex Multiverse level" tier with "String Theory Multiverse level" instead, or would that be awkward, inappropriate, and unnecessary?
Currently, Low 1-C is Low Complex Multiverse level, 1-C is Complex Multiverse level, and High 1-C is High Complex Multiverse level. If we were to rearrange these three tiers to have Low 1-C for 5-D, 1-C for 6-D to 9-D, and High 1-C to 10-D to 26-D like I suggested, only High 1-C would correspond to anything in string theory, so that name would only suit it, and we would have to figure out different names for the other two tiers if we wanted to rename them. Do you have any suggestions?
 
Can't we extend High 1-C to cover 10-D to 26-D to better correspond to the different types of string theory if we really are moving the tiers around?
This generally seems like a bad idea, because string theory's compactified dimensions are completely irrelevant for tiering. I think it'd be quite misleading.
 
Okay, so do you think that something like this would be a good solution then?

Low 1-C = 5-D (The most abundant category. Merits its own specific tier.)

1-C = 6-D to 9-D (Rare. Can all be shoved down into levels of a single tier.)

High 1-C = 10-D to 11-D

1-B to High 1-B remaining the same.

High 1-B+ = Spaces with uncountably infinite dimensions.

Low 1-A = Spaces corresponding to inaccessible cardinals and upwards

Or:

Low 1-A = The sum total of all ordinary quantitative structures in mathematics. The Universe of Sets.
Make Low 1-A into the Universe of Sets and we're good to go, I believe.

Anyway: I don't think expanding High 1-C is a priority issue right now. It wouldn't serve any practical purpose whatsoever for the foreseeable future whereas transferring 6-D to 1-C does. Ontop of what Agnaa said.
 
This generally seems like a bad idea, because string theory's compactified dimensions are completely irrelevant for tiering. I think it'd be quite misleading.
I don't see how it's irrelevant for splitting the tiers when a lot of verses use string theory as a basis for the numbers of dimensions in their cosmologies.
Make Low 1-A into the Universe of Sets and we're good to go, I believe.

Anyway: I don't think expanding High 1-C is a priority issue right now. It wouldn't serve any practical purpose whatsoever for the foreseeable future whereas transferring 6-D to 1-C does. Ontop of what Agnaa said.
If you don't think it's a priority, I don't feel strongly enough about this to have to do it right now; it can be left for later.
 
a lot of verses use string theory as a basis for the numbers of dimensions in their cosmologies.
Eh, this is more a symptom of people being too eager to take a scan that mentions n dimensions and immediately scale the cosmology to that even when there's no evidence of their size being universal. I don't think we should basically validate that practice by naming a tier after a cosmological theory doesn't actually meet our standards.
 
I don't see how it's irrelevant for splitting the tiers when a lot of verses use string theory as a basis for the numbers of dimensions in their cosmologies.
Using string theory as that basis would not confer any tier.

There's other issues with such a separation; since no series can derive its tier in that way, such a tier would be relatively sparse. 1-B currently has 93 characters. When R>F knocks some of them to 1-A, it will have even fewer. If we rule out series with more than 26 dimensions, that number will shrink even more.

I think such a change is bad on every level.
 
@Ultima_Reality
Correct me if I'm wrong, but your proposing Low 1-A be basically the highest possible mathematical possibility in choice 1, while proposing Low 1-A be for things that are above dimensions but not qualitatively in general, correct? How do these two things compare?

Also, yeah. String theory only grants Tier 1 is very specific circumstances and is mostly completely irrelevant to our tiers in any other way. It just get unnecessary focus because its the thing writers who don't know much about dimensions will most likely reference, so people on this wiki will constantly try and use it to upgrade their favourite series. We shouldn't be given it any more focus.
 
Correct me if I'm wrong, but your proposing Low 1-A be basically the highest possible mathematical possibility in choice 1, while proposing Low 1-A be for things that are above dimensions but not qualitatively in general, correct? How do these two things compare?
They are the same, largely. Low 1-A is "above dimensions," but just not really in the same sense as 1-A, which is in fact above quantitative differences in general.
 
Honestly, if Option 1 includes moving 6D to 1-C then I'm fine with changing to Option 1. The tiers between 5D and infinite dimensional will probably always seem kinda of messy, arbitrary, and mostly empty regardless of what we do. So while I kind of would like us to do something with them I don't really care too much if we just leave them as is.
 
This generally seems like a bad idea, because string theory's compactified dimensions are completely irrelevant for tiering. I think it'd be quite misleading.
Okay. Never mind then. Thank you for your input. 🙏
Make Low 1-A into the Universe of Sets and we're good to go, I believe.
Okay, but are you absolutely certain that we should not have any tier in-between the beginning of uncountable infinity and the Universe of Sets, which, as I think Everything12 said, is the highest mathematical possibility, unless I have misunderstood? It seems unwise to not provide at least some measure of distinction in case new fictions with high-level mathematics are introduced to our wiki.
Anyway: I don't think expanding High 1-C is a priority issue right now. It wouldn't serve any practical purpose whatsoever for the foreseeable future whereas transferring 6-D to 1-C does. Ontop of what Agnaa said.
Yes. Never mind (as I said above). 🙏
 
Okay, but are you absolutely certain that we should not have any tier in-between the beginning of uncountable infinity and the Universe of Sets, which, as I think Everything12 said, is the highest mathematical possibility, unless I have misunderstood? It seems unwise to not provide at least some measure of distinction in case new fictions with high-level mathematics are introduced to our wiki.
I don't think that is needed, no, given how sparse such characters are. If, somehow, they start becoming numerous in the future, I think we can go back and have a discussion on whether to make more sub-divisions, but I doubt that will happen, and as is, making such divisions will just result in a bunch of tiers becoming ghost-towns.
 
We could also just have it be uncountable infinity and infinities beyond that, it's not likely this will ever be a problem that we ever have to focus on.
 
Okay, so do you think that something like this would be a good solution then?

Low 1-C = 5-D (The most abundant category. Merits its own specific tier.)

1-C = 6-D to 9-D (Rare. Can all be shoved down into levels of a single tier.)

High 1-C = 10-D to 11-D

1-B to High 1-B remaining the same.

High 1-B+ = Spaces with uncountably infinite dimensions.

Low 1-A = Spaces corresponding to inaccessible cardinals and upwards

Or:

Low 1-A = The sum total of all ordinary quantitative structures in mathematics. The Universe of Sets.
Think that's the perfect middle between Options 1 and 2 yes.
 
I think High 1-B+ Just being a number of dimensions greater than countable infinity is better and a easier way of explaining Low 1-A is basically just the peak one can be quantitatively.
 
I don't think that is needed, no, given how sparse such characters are. If, somehow, they start becoming numerous in the future, I think we can go back and have a discussion on whether to make more sub-divisions, but I doubt that will happen, and as is, making such divisions will just result in a bunch of tiers becoming ghost-towns.
Okay. I suppose that seems reasonable. 🙏
 
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