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Question tiering system

LuisGeno

He/Him
113
27
If there is a universe of inaccessible cardinal size, would this scale to High 1-A, or is the inaccessible cardinal in number of layers/dimensions necessary?
 
The tiering system puts size over everything, it just so happens that mathematical dimensions are a way of showcasing such sizes, but anything works, whether it be hierarchies, or as you stated, universes equal to mathematical infinities in size.

So yes, it would be High 1-A.
 
It depends, if you mean the world by applying the Inaccessible cardinal as its Cosmological reference, So yes, But if you mean a world that has an inaccessible gap to the world below it will get a qualitatively low 1C.

Besides that, H1A on inaccessible cardinal is only basic, Inaccessible cardinal can reach Boundles (0) like hyper inaccessible cardinal
 
oh no , you also need to show something above zfc+ . Normally there should be a class to contain all sets of zfc .
E.g worldly cardinal
And but if you say only inaccessible cardinal . It will only be h1b to low1a because there is no proof a number greater than an irrational number, which is like cantor made a mistake in the past.
 
It depends, if you mean the world by applying the Inaccessible cardinal as its Cosmological reference, So yes, But if you mean a world that has an inaccessible gap to the world below it will get a qualitatively low 1C.

Besides that, H1A on inaccessible cardinal is only basic, Inaccessible cardinal can reach Boundles (0) like hyper inaccessible cardinal
Okay, thanks for helping me
 
Why do you guys talk about inaccessible cardinal but don't talk about basic axiom in zfc sometime🥲
 
Don't talk used to say that you are above all ZFC + Continuum Hypothesis to justify tier h1a to show the existence of an inaccessible cardinal above zfc and this has happened in the World of darkness universe because of it's Never shows a greater number of dimension than ZFC + Continuum Hypothesis, so the maximum tier is only 1-A+ (universe).
 
In the world of darkness universe, there is only mention of the axiom of choice (zfc) in the mage jar. So it can be scaled to 1-A+

universe of inaccessible cardinal size,

but this is definitely not enough to scale to h1a.
 
It depends, if you mean the world by applying the Inaccessible cardinal as its Cosmological reference, So yes, But if you mean a world that has an inaccessible gap to the world below it will get a qualitatively low 1C.

Besides that, H1A on inaccessible cardinal is only basic, Inaccessible cardinal can reach Boundles (0) like hyper inaccessible cardinal
Oh, hyper inaccessible cardinality h1a^infinity because hyper inaccessible = k-inaccessible
K - K - inaccessible =mahlo (0) my source of Wikipedia and this source obviously truth.
 
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