There are actually three assumptions here:

Assumption A: We live in a finite simulated mathematical universe.
Assumption B: This mathematical universe is a simplified approximation of a more elaborate mathematical universe.
Assumption C: The computational substrate of our mathematical universe is embedded in another finite universe.

All three assumptions can hold true at once.

However, the last statement is contradictory regardless of the mathematical nature of the universe due to the nature of thermodynamics and entropy. All complex natural processes are irreversible, so it is impossible to accurately compute past states of the universe.
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