High School Why does the multiverse theory have only 4 levels?

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The discussion centers on the limitations of multiverse theory, specifically why Max Tegmark's and Brian Greene's classifications stop at the mathematical multiverse hypothesis (Level IV). Critics argue that this framework excludes potential universes not described by mathematics, as suggested by David Lewis. The conversation highlights the speculative nature of multiverse theories, emphasizing that they are hypothetical constructs consistent with known physics. Theoretical boundaries of multiverse classifications remain a point of contention among scholars. Ultimately, the debate reflects the ongoing exploration of the multiverse concept and its implications.
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Why does max tegmark's and brian greene's levels of multiverses consider as the highest level the mathematical multiverse hypothesis if other authors like David Lewis consider that there could be also universes non described by maths? Why does it stop at level iv (mathematical universes hypothesis) if there could be other universes not described with maths?

https://en.m.wikipedia.org/wiki/Multiverse
 
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Multiverse theory is purely hypotheitical. Anyone can construct such a theory as long as it is consistent with known physics.
 
Multiverse theory is speculative. Discussion of a particular peer-reviewed paper exploring it might be ok, but general discussion based on Wikipedia is not.

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