t might seem that there are "realities" of higher set theoretic cardinality which cannot be encoded. However, if we assume our agent's perceptions during a finite span of subjective time can be encoded as a finite number of bits, then we can safely ignore the "larger" realities.

Level IV is supposed to be the most general multiverse, with no conceivable superset, but observers who are not limited to finite information are conceivable for some value of conceivable.