Why does the multiverse theory have only 4 levels?

Suekdccia
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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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