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No, cardinals don't give tier on their own, but I'm going to assume we're applying them to any object.This is the FC/OC general discussion but I'll answer for you anyway.
Yes, aleph-ω is High 1-A as omega is correlated with infinities.
It's not that simple, really.An inaccessible cardinal is basically an uncountable cardinal (an uncountable infinite set of numbers/elements).
Same thing. Aleph-0 is the peak of a countable cardinal.It's not that simple, really.
An uncountable infinite set simply begins with Aleph 1.
Anyway for inaccessible cardinal
It has to satisfy 3 conditions;
It must be uncountable: κ > Aleph-0;
It must be regular: which means it's not equal to the union of less than κ many sets with less size.
It must be a strong limit cardinal: whenever we have λ < κ then 2^λ < κ.
I mean it is not correct to just say "uncountable infinite cardinal" for the Inaccessible cardinal.Same thing. Aleph-0 is the peak of a countable cardinal.
No problem.Aleph-ω is 1-A+ I mean, my bad.
It is not wrong that it is uncountable, it is just an inadequate explanation.An inaccessible cardinal is uncountable, every infinite cardinal applies to it including Aleph-0 contradictorily… For the case with our tiering system I’m sure any tiering above High 1-B is required to be uncountably infinite