[pixl97]

You can't store an infinite amount of entropy in a finite amount of space outside of a singularity, well or at least attempting to do that will cause a singularity.

Compression/algorithms don't save you here either. The algorithm for pi is very short, pulling up any particular randomm digit of pi still requires the expenditure of some particular amount of entropy.

[AstroBen]

It's entirely possible for this to be literally false, but practically true

The important question is can you learn enough in a standard human lifetime to "fill up your knowledge bank"?