0: Standard

Everything in this level makes sense in mathematics. You can add any number here and you'll get a different number. Examples: Mathematics, negative numbers, irrational numbers, and googology numbers.

1: Transfinite

Aperiology is the study of infinities. Infinity is a concept which there are multiple kinds of infinities: Ordinals, non-recursive ordinals, large cardinals, set theory cardinals, and Continuum Hypotheses.

2: Ignorant

There is where numbers become ignorant to Standard Googology and reach the fictional realm. This includes nonsense numbers trying to surpass Absolute Infinity like Never.

3: Conceptual

Conceptual level requires concepts and fields to define such a fictional number.

4: Fictional

Fictional level includes ficto-abstraction such as writing, comprehension, and imagination. Ficto-box containment is called "all."

5: Numkerous

The notion of "all" breaks down with post-writing/potential/comprehension. The Limbo, Dominium, Itlogic, Imaginarism lie here.